NCERT Solutions For Class 8 Maths Chapter 11 Mensuration

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# NCERT Solutions For Class 8 Maths Chapter 11 Mensuration

Edited By Ramraj Saini | Updated on Mar 01, 2024 06:36 PM IST

Mensuration Class 8 Questions And Answers provided here. These NCERT Solutions are prepared by expert team considering the latest syllabus and pattern of CBSE 2023-24. In this chapter, you will study different geometrical shapes like circle, quadrilateral, triangle, cube, cuboid, sphere, cylinder, cone and their area and volume. Also, you will learn to find area of polygon, area of trapezium, area of general quadrilaterals and special quadrilaterals. In NCERT solutions for Class 8 Maths chapter 11 Mensuration, you will find questions related to finding area and volume 3D shapes.

There are 4 exercises with 34 questions in this chapter. All these questions are explained in NCERT solutions for Class 8 Maths chapter 11 Mensuration in a detailed manner using diagrams. It is easy for you to visualize and understand the problem. Only using the formulas and finding the answer is not enough, you should know how these formulas are derived so you can find the area or volume of the new shape you may come across. Here you will get the detailed NCERT Solutions for Class 8 Maths by clicking on the link.

## Mensuration Class 8 Solutions - Important Formulae

Perimeter: The length of the outline of any simple closed figure is known as the perimeter.

• Perimeter of a Rectangle: 2 × (Length + Breadth)

• Perimeter of a Square: 4 × Side

• Perimeter of a Circle (Circumference): 2πr (where r is the radius of the circle)

• Perimeter of a Parallelogram: 2(Base + Height)

• Perimeter of a Triangle: a + b + c (where a, b, and c are the side lengths)

• Perimeter of a Trapezium: a + b + c + d (where a, b, c, and d are the sides of a trapezoid)

• Perimeter of a Kite: 2a + 2b (where a is the length of the first pair of sides and b is the length of the second pair)

• Perimeter of a Rhombus: 4 × Side

• Perimeter of a Hexagon: 6 × Side

Curved Surface Area of a Cone: πrl, where 'r' is the base radius and 'l' is the slant height. l = √(r2 + h2).

Volume of a Cuboid: Base Area × Height = Length × Breadth × Height

Volume of a Cone: (1/3)πr2h

Volume of a Sphere: (4/3)πr3

Volume of a Hemisphere: (2/3)πr3

Free download NCERT Solutions for Class 8 Maths Chapter 11 Mensuration for CBSE Exam.

## Mensuration Class 8 NCERT Solutions (Intext Questions and Exercise)

Class 8 mensuration ncert solutions - Topic 11.2 Let Us Recall

1.

Area of above shape = =

Area of above shape =

Area of above shape =

Area of above triangle =

Area of above shape = b*h =

Question:(b) Write the perimeter of each shape.

2.

Perimeter of shape =

perimeter of shape = =

perimeter of shape =

perimeter of shape =

perimeter of this shape cannot be calculated only with height and breadth,we need slant height or angle.

Class 8 maths chapter 11 question answer - Exercise: 11.1

Given:

Perimeter of square = perimeter of rectangle

$\Rightarrow$ $4\times side = 2(length + breadth)$

$\Rightarrow$ $4\times 60 = 2(80 + breadth)$

$\Rightarrow$ $240\div 2=(80+breadth)$

$\Rightarrow$ $120=(80+breadth)$

$\Rightarrow$ $(breadth)=120-80$

$\Rightarrow$ $(breadth)=40$

Area of square $= side^{2}= 60^{2}=3600 m^{2}$

Area of rectangle = $= (length\times breadth)=80\times 40=3200m^{2}$

Hence, the area of the square is greater than the area of the rectangle.

Area of plot = $side^{2}=25^{2}=625m^{2}$

Area of house = $20\times 15=300m^{2}$

Area of garden around house = $625-300=325m^{2}$

the rate = 55 per $m^{2}$ .

the total cost of developing a garden around the house= $55\times 325= Rs 17875$

Length of rectangle is 20 – (3.5 + 3.5) metres=13 metres

Breadth of rectangle = 7 metres

diameter of circular side = 7metres

Area of garden = area of rectangle + 2 times area of semi circular part

Area of garden

$=\left ( 13\times 7 \right ) + \left ( \pi \times 7^{2}\div 4 \right )$

$=129.5$ $metres^{2}$

Perimetre of garden

$=\left ( 2\times \pi \times r \right )+\left ( 2\times 13 \right )$

$=\left ( 22 \right )+\left ( 26 \right )$

$=48$ metres

Area of parallelogram

$=base \times height$

$=24\times10$

$=240$ $cm^{2}$

a floor of area $1080m^{2}$ = $1080m^{2}\times 10000$ = $10800000cm^{2}$

Number of tiles = $10800000\div 240$ = $45000$ tiles

(a) circumference

$= 2.8+\left ( \pi \times 1.4 \right )$

$=7.2 cm$

(b)circumference

$=1.5+2.8+1.5+\left ( \pi \times 1.4 \right )$

$=1.5+2.8+1.5+4.4$

$=10.2cm$

(c) circumference

$=2 +\left ( \pi \times 1.4 \right )+2$

$=4+4.4$

$=8.4$

Hence, the perimeter of (b) is highest so ant have to take a longer round in (b).

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.3 Area Of Trapezium

$WXYZ=h\frac{(a+b)}{2}$ .

Area of trapezium WXYZ = Area of triangle with base 'c' + area of rectangle + area of triangle with base'd'

$=(\frac{1}{2}\times c\times h)+(b\times h)+\left ( \frac{1}{2}\times d\times h \right )$

Taking 'h' common, we get

$=(\frac{c}{2}+b+\frac{d}{2})h$

$=h(\frac{c+d}{2}+b)$

Replacing $c+d =a-b$

$=h(\frac{a-b}{2}+b)$

$=h(\frac{a+b}{2})$

Hence proved that the area of a trapezium

$WXYZ=h\frac{(a+b)}{2}$

Area of trapezium WXYZ = Area of traingle with base'c'+area of rectangle +area of triangle with base 'd'

$=\left ( \frac{1}{2}\times c\times h \right )+\left ( b\times h \right )+\left ( \frac{1}{2}\times d\times h \right )$

$=\left ( \frac{1}{2}\times 6\times 10 \right )+\left ( 12\times 10 \right )+\left ( \frac{1}{2}\times 4\times 10 \right )$

$=\left ( 30 \right )+\left ( 120 \right )+\left ( 20 \right )$

$=170$ $cm^{2}$

the area WXYZ by the expression

. $\frac{h(a+b)}{2}$

$=\frac{10 \left ( 22+12 \right )}{2}$

$=\frac{10 \left ( 34 \right )}{2}$

$=10\times 17$

$=170 cm^{2}$

Hence,we can conclude area from given expression and calculated area is equal.

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.3 Area of Trapezium

(i) Area of trapezium

$=\frac{1}{2}\ (Sum\: of\: Parallel\: sides)\times (Distance\: between \:parallel \:sides)$

$=\frac{1}{2}\times 16\times 3$

$=27cm^{2}$

(ii)

Area of trapezium

$=\frac{1}{2}\ (Sum\: of\: Parallel\: sides)\times (Distance\: between \:parallel \:sides)$

$=\frac{1}{2}\times (10+5)\times 6$

$=45$ $cm^{2}$

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.4 Area Of A General Quadrilateral

$Area \:of \:quadrilateral \:ABCD = Area \:of( \bigtriangleup ABD \:+\:\bigtriangleup BCD)$

$=\left ( \frac{1}{2}\times b\times h \right )+\left ( \frac{1}{2}\times b\times h \right )$

$=bh$

This agree with the formula that we know already.

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.4.1 Area Of A Special Quadrilaterals

(i) Area=

$=\frac{1}{2}\times d\left ( h1+h2 \right )$

$=\frac{1}{2}\times 6\times \left ( 3+5 \right )$

$=3\times \left ( 8 \right )$

$=24$ $cm^{2}$

(ii) Area=

$=\frac{1}{2}\times d1\times \left ( d2 \right )$

$=\frac{1}{2}\times 7\times \left ( 6 \right )$

$= 7\times \left (3 \right )$

$= 21$ $cm^{2}$

(iii)Area=

$=\frac{1}{2}\times d\left ( h1+h2 \right )$

$=\frac{1}{2}\times 8\times \left ( 2+2 \right )$

$=4\times 4$

$=16$ $cm^{2}$

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.5 Area Of A Polygon

FI is a diagonal of polygon EFGHI NQ is a diagonal of polygon MNOPQR

(i)

Area of polygon EFGHI = area of $\triangle$ EFI + area of quadrilateral FGHI

Draw a diagonal FH

Area of polygon EFGHI = area of $\triangle$ EFI + area of $\triangle$ FGH + area of $\triangle$ FHI

ii)

Area of polygon MNOPQR = area of quadrilateral NMRQ+area of quadrilateral NOPQ

Draw diagonal NP and NR .

Area of polygon MNOPQR = area of $\triangle$ NOP+area of $\triangle$ NPQ +area of $\triangle$ NMR +area of $\triangle$ NRQ

Area of $\Delta AFB=\frac{1}{2}\times AF\times BF=\frac{1}{2}\times 3\times 2=....$

Area of trapezium $FBCH=FH\times \frac{(BF+CH)}{2}$

$=3\times \frac{(2+3)}{2}[FH=AH-AF]$

Area of $\Delta CHD=\frac{1}{2}\times HD\times CH=.....,$ Area of $\Delta ADE=\frac{1}{2}\times AD\times GE=...$

So, the area of polygon ABCDE = ....

Area of Polygon ABCDE = area of + area of trapezium BCHF + area of +area of

the area of polygon MNOPQR

= area of $\triangle$ MAN + area of trapezium ACON+area of $\triangle$ CPO + area of $\triangle$ MBR+area of trapezium BDQR+area of $\triangle$ DPQ

$=(\frac{1}{2}\times 2\times 2.5)+(4(2.5+3)\div 2)+(\frac{1}{2}\times 3\times 3)+(\frac{1}{2}\times 4\times 2.5)+(3(2.5+2)\div 2)+(\frac{1}{2}\times 2\times 2)$

$=2.5+11+4.5+5+6.75+2$

$=31.75$ $cm^{2}$

Class 8 maths chapter 11 ncert solutions - Exercise: 11.2

Area of table =

$=\frac{1}{2}\times sum \, of \, parallel\, sides\times distance\, between\, parallel\, sides$

$=\frac{1}{2}\times\left ( 1+1.2 \right )\times 0.8$

$= 0.4\times 2.2$

$=0.88$ $m^{2}$

Let the length of the other parallel side be x

area of a trapezium =

$=\frac{1}{2}\times \left ( 10+x \right )\times 4=34$

$= \left ( 10+x \right )=17$

$x=17-10$

$x=7$ cm

Hence,the length of the other parallel side is 7cm

$BC = 48 m$ , $CD = 17 m$ and $AD = 40 m$ ,

Length of the fence of a trapezium shaped field $ABCD$ = $120 m$ = $AB+BC+CD+DA$

$120=AB+48+17+40$

$AB=15m$

Area of trapezium =

$\frac{1}{2}\times sum \, of\, parallel\, sides\times height$

$=\frac{1}{2}\times (40+48)\times 15$

$=\frac{1}{2}\times (88)\times 15$

$= (44)\times 15$

$=660m^{2}$

The diagonal of a quadrilateral shaped field is 24 m

the perpendiculars are 8 m and 13 m.

the area of the field =

$\frac{1}{2}\times d\times (h1+h2)$

$=\frac{1}{2}\times 24\times (13+8)$

$=12\times 21$

$=252 m^{2}$

Area of rhombus =

$\frac{1}{2}\times product\, of\, diagonals$

$=\frac{1}{2}\times 7.5\times 12$

$= 7.5\times 6$

$= 45 cm^{2}$

Rhombus is a type of parallelogram and area of parallelogram is product of base and height.

So,Area of rhombus = base $\times$ height

$= 5\times 4.8$

$= 24$

Let the other diagonal be x

Area of rhombus =

$=\frac{1}{2}\times product\, of\, diagonals$

$24=\frac{1}{2}\times8\times x$

$x=6cm$

Area of 1 tile =

$\frac{1}{2}\times product\, of\, diagonals$

$=\frac{1}{2}\times45\times 30$

$=675 cm^{2}$

Area of 3000 tiles =

$=675 \times 3000$

$= 202.5 m^{2}$

Total cost of polishing =

$= 202.5\times 4$

$= Rs 810$

Let the length of the side along road be x m.

Then according to question, lenght of side along river will be 2x m.

$Area \:of \:trapezium = \frac{1}{2}h(a+b)$

So equation becomes :

$\frac{1}{2}100(x+2x) = 10500$

or $3x = 210$

or $x = 70$

So the length of the side along the river is 2x = 140m.

Area of octagonal surface = Area of rectangular surface + 2(Area of trapezium surface)

Area of recatangular surface = $11\times5 = 55 m^2$

Area of trapezium surface =

$\frac{1}{2}\times4(11+5) = 2\times16 = 32 m^2$

So total area of octagonal surface = 55 + 2(32) = 55 + 64 = 119 $m^2$

Find the area of this park using both ways. Can you suggest some other way of finding its area?

Area of pentagonal park according to Jyoti's diagram :-

= 2(Area of trapezium) = $2(\frac{1}{2}\times\frac{15}{2}\times45) = \frac{15\times45}{2} = 337.5 m^2$

Area of pentagonal park according to Kavita's diagram :-

= Area of triangle + Area of square.

$= \frac{1}{2}\times15\times15 + 15\times15 = 112.5 + 225 = 337.5 m^2$

Area of opposite sections will be same.

So area of horizontal sections,

$=\frac{1}{2}\times4(16+24) = 2(40) = 80\ cm^2$

And area of vertical sections,

$= \frac{1}{2}\times8(20+28) = 4(48) = 96\ cm^2$

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.7.1 Cuboid

(i) Total surface area = 2 (h × l + b × h + b × l) = 2(lb + bh + hl)

$=2(6\times4 + 4\times2+6\times2) = 2(24+8+12)$

$= 2(24+8+12) = 88\ cm^2$

(ii) Total surface area = 2 (h × l + b × h + b × l) = 2(lb + bh + hl)

$= 2(4\times4+4\times10+10\times4) = 2(16 + 40+40)$

$= 2(96) = 192\ cm^2$

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.7.2 Cube

Surface area of cube A = $6l^2$

= $6(10)^2 = 600\ cm^2$

Lateral surface area of cube B = $4l^2$

$=4(8)^2 = 4\times64 = 256\ cm^2$

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.7.3 Cylinders

Total surface area of cylinder = 2πr (r + h)

(i) Area =

$2\Pi \times14(14+8) = 2\Pi\times 14(22) = 1935.22\ cm^2$

(ii) Area =

$2\Pi \times1(1+2) = 2\Pi\times 1(3) = 18.84\ cm^2$

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration-Exercise: 11.3

Surface area of cuboid (a) $= 2(60\times40 + 40\times50 + 50\times60) =14800\ cm^2$

Surface area of cube (b) $= 6(50)^2 = 15000\ cm^2$

So box (a) requires the lesser amount of material to make.

Surface area of suitcase $= 2(80\times48+48\times24+24\times80) = 13824\ cm^2$ .

Area of such 100 suitcase will be $1382400\ cm^2$

So lenght of tarpaulin cloth $= \frac{1382400\ cm^2 }{96\ cm} = 14400\ cm\ or\ 144m$

Surface area of cube $=\ 6l^2$

So, $6l^2 = 600$

or $l^2 = 100$

or $l = 10\ cm$ .

Thus side of cube is 10 cm.

Required area = Total area - Area of bottom surface

Total area $= 2(1\times2+ 2\times1.5 + 1.5\times1 ) = 13\ m^2$

Area of bottom surface $= 1\times2 = 2\ m^2$

So required area = $13-2\ m^2 = 11\ m^2$

Total area painted by Daniel :

$= 2(15\times10+10\times7+7\times15) - 15\times10$ ( $\because$ Bottom surface is excluded.)

So, Area

$= 650 - 150\ m^2 = 500\ m^2$

No. of cans of paint required

$=\frac{ 500\ m^2}{100\ m^2} = 5$

Thus 5 cans of paint are required.

The two figures have same height.The diference between them is one is cylinder and another is cube.

lateral surface area of cylinder = $2\times \pi \times r\times h$

$=2\times \pi \times 3.5\times 7$

$=154 cm^{2}$

lateral surface area of cube = $4\times side^{2}$

$=4\times 7^{2}$

$=4\times 49$

$=196 cm^{2}$

Cube has a larger lateral surface area.

Total surface area of cylinder = 2πr (h + r)

$= 2\Pi \times7(7+3) = 14\Pi \times10 = 440\ m^2$

Lenght of rectangular sheet

$= \frac{4224}{33} = 128\ cm$

So perimeter of rectangular sheet = 2(l + b)

$= 2(128 + 33) = 322\ cm$ .

Thus perimeter of rectangular sheet is 322 cm.

Area in one complete revolution of roller = 2πrh.

$= 2\Pi \times0.42\times1 = 2.638\ m^2$

So area of road $= 2.638\ m^2\times 750 = 1979.20\ m^2$

Area of label = 2πrh

$= 2\Pi \times(7)\times(16) = 703.71\ cm^2$

Here height is found out as = 20-2-2 = 16 cm.

NCERT class 8 maths ch 11 question answer - Topic 11.8.1 Cuboid

Question:1 Find the volume of the following cuboids

(i) Volume of cuboid is given as:

$Volume\ of\ cuboid = length\times breadth\times height$ ,

So, Given that Length = 8cm, Breadth = 3cm, and height = 2 cm so,

its volume will be = $8cm\times 3cm\times 2cm = 48cm^3$ .

Aslo for Given Surface area of cuboid $24m^2$ and height = 3 cm we can easily calculate the volume:

$Volume = Surface\ area\times height$ ;

So, Volume = $Volume = 24m^2\times \frac{3m}{100} = 0.72m^3$

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.8.2 Cube

(a) with a side 4 cm (b) with a side 1.5 m

(a) Volume of cube having side equal to 4cm will be

$Volume = Side\times side\times side$ or $Volume = 4cm\times 4cm\times 4cm= 64cm^3$ .

(b) When having side length equal to 1.5m then ,

$Volume = 1.5m\times 1.5m\times 1.5m= 3.375m^3$ .

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration - Topic 11.8.3 Cylinder

(i) The volume of a cylinder given as = $\Pi \times r^2\times length$ .

or given radius of cylinder = 7cm and length of cylinder = 10cm.

So, we can calculate the volume of the cylinder = $\Pi \times (7cm)^2\times 10cm$ (Take the value of $\Pi = \frac{22}{7}$ )

The volume of cylinder = $1,540 cm^3$ .

(ii) Given for the Surface area = $250m^2$ and height = 2m .

we have .

$Volume\ of\ cylinder = 250m^2\times 2m = 500m^3.$

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration-Exercise: 11.4

To find how much it can hold.

(a) To find out how much the cylindrical tank can hold we will basically find out the volume of the cylinder.

Number of cement bags required to plaster it.

(b) if we want to find out the cement bags required to plaster it means the area to be applied, we then calculate the surface area of the bags .

To find the number of smaller tanks that can be filled with water from it.

(c) We have to find out the volume.

Given the diameter of cylinder A = 7cm and the height = 14cm.

Also, the diameter of cylinder B = 14cm and height = 7cm.

We can easily suggest whose volume is greater without doing any calculations:

As volume is directly proportional to the square of the radius of cylinder and directly proportional to the height of the cylinder hence

B has more Volume as compared to A because B has a larger diameter.

Verifying:

Volume of A : $\pi\times r^2\times height = \pi\times (\frac{7cm}{2})^2\times 14cm =539cm^3$

and Volume of B : $\pi\times r^2\times height = \pi\times (\frac{14cm}{2})^2\times 7cm =1,078cm^3$ .

Hence clearly we can see that the volume of cylinder B is greater than the volume of cylinder A.

The cylinder B has surface area of = $2\times \pi\times r(r+h) = 2\times \pi\times \frac{14cm}{2}(\frac{14}{2}+7) = 616cm^2$ .

and the surface area of cylinder A = $2\times \pi\times r(r+h) = 2\times \pi\times \frac{7cm}{2}\times (\frac{7}{2}+14) = 385cm^2$ .

The cylinder with greater volume also has greater surface area.

Given that the height of a cuboid whose base area is $180cm^2$ and volume is $900cm^3$ ;

As $Volume\ of\ cuboid = Base\ area\times height$

So, we have relation: $900cm^3= 180cm^2\times height$

or, Height = 5cm.

So given the dimensions of cuboid $60 cm \times 54 cm \times 30 cm$ hence it's the volume is equal to = $97,200cm^3$

We have to make small cubes with side 6cm which occupies the volume = $6cm\times 6cm\times 6cm = 216cm^3$

Hence we have now one cube having side length = 6cm volume = $216cm^3$ .

So, total numbers of small cubes that can be placed in the given cuboid = $\frac{97,200}{216} =450$

Hence 450 small cubes can be placed in that cuboid.

Given that the volume of the cylinder is $1.54m^3$ and having its diameter of base = 140cm.

So, as $Volume\ of\ cylinder = Base\ area\times height$ ;

hence putting in the relation we get;

$1.54m^3= (\pi\times (\frac{1.4m}{2})^2)\times height$

The height of the cylinder would be = $1metre$ .

Volume of the cylinder = V = $\Pi r^2h$

$\Pi (1.5)^2\times7 = 49.48\ m^3$

So the quantity of milk in litres that can be stored in the tank is 49500 litres.

$\left ( \because 1\ m^3 = 1000\ litres \right )$

Question:7(i) If each edge of a cube is doubled,

how many times will its surface area increase?

The surface area of cube = $6l^2$

So if we double the edge l becomes 2l.

New surface area = $6(2l)^2 = 24l^2$

Thus surface area becomes 4 times.

Question:7(ii) If each edge of a cube is doubled,

how many times will its volume increase?

Volume of cube = $l^3$

Since l becomes 2l, so new volume is : $(2l)^3 = 8l^3$ .

Hence volume becomes 8 times.

Given that the water is pouring into a cuboidal reservoir at the rate of 60 litres per minute.

Volume of the reservoir is $108\ m^3$ , then

The number of hours it will take to fill the reservoir will be:

As we know $1m^3 = 1000L$ .

Then $108\ m^3$ = 108,000 Litres ;

Time taken to fill the tank will be:

$\frac{1,08,000litres}{60litres\ per\ minute} = 1,800 minutes$

or $\frac{1,800hours}{60} =30hours$ .

## NCERT Solutions For Class 8 Maths Chapter 11 Mensuration - Topics

• Let us Recall

• Area of Trapezium

• Area of a General Quadrilateral

• Area of a Polygon

• Solid Shapes

• Surface Area of Cube, Cuboid, and Cylinder

• The volume of Cube, Cuboid, and Cylinder

• Volume and Capacity

## NCERT Solutions for Class 8 Maths - Chapter Wise

 Chapter -1 Rational Numbers Chapter -2 Linear Equations in One Variable Chapter-3 Understanding Quadrilaterals Chapter-4 Practical Geometry Chapter-5 Data Handling Chapter-6 Squares and Square Roots Chapter-7 Cubes and Cube Roots Chapter-8 Comparing Quantities Chapter-9 Algebraic Expressions and Identities Chapter-10 Visualizing Solid Shapes Chapter-11 Mensuration Chapter-12 Exponents and Powers Chapter-13 Direct and Inverse Proportions Chapter-14 Factorization Chapter-15 Introduction to Graphs Chapter-16 Playing with Numbers

## NCERT Solutions For Class 8 Maths Chapter 11 Mensuration To Remember - Formulae

• Area of a trapezium

$\frac{1}{2}[\text{sum of the lengths of parallel sides} \ \times \ \text{ perpendicular distance between them}]$

• Area of a rhombus

$\frac{1}{2}[\text{product of its diagonals} ]$

• The surface area of a cuboid = 2(lb + bh + lh)

l- length of the cuboid

h- height of the cuboid

• The surface area of a cube

$6l ^2 \\ \text{ l- side of the cube}$

• The Surface area of a cylinder

$2\pi r(r+h)$

h- height of the cylinder

• The volume of a cuboid

$l \times b \times h$

l- length of the cuboid

h- height of the cuboid

• The volume of a cube = l3
• The volume of a cylinder = πr 2 h

h- height of the cylinder

Tip - If you have derived the formulas and know how to drive it, then you can solve any problem of this chapter easily. You can take help from NCERT solutions for class 8 maths chapter 11 mensuration if you are not able to solve the problem. It will make your task easy.

## NCERT Books and NCERT Syllabus

1. What are the important topics of chapter Mensuration ?

Area of trapezium, area of quadrilateral, area of the polygon,  area and volume of the solid shapes like cube, cuboid and cylinder are covered in this chapter.

2. How many chapters are there in the CBSE class 8 maths ?

There are 16 chapters starting from rational number to playing with numbers in the CBSE class 8 maths.

3. Does CBSE class maths is tough ?

No, CBSE class 8 maths is a basic and damn simple where most of the topics related to the previous classes.

4. Which is the official website of NCERT ?

NCERT official is the official website of the NCERT where you can get NCERT textbooks and syllabus from class 1 to 12.

5. Where can I find the complete solutions of NCERT for class 8 ?

Here you will get the detailed NCERT solutions for class 8 by clicking on the link.

6. Where can I find the complete solutions of NCERT for class 8 maths ?

Here you will get the detailed NCERT solutions for class 8 maths by clicking on the link.

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

 Option 1) Option 2) Option 3) Option 4)

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

 Option 1) 2.45×10−3 kg Option 2)  6.45×10−3 kg Option 3)  9.89×10−3 kg Option 4) 12.89×10−3 kg

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

 Option 1) Option 2) Option 3) Option 4)

A particle is projected at 600   to the horizontal with a kinetic energy . The kinetic energy at the highest point

 Option 1) Option 2) Option 3) Option 4)

In the reaction,

 Option 1)   at STP  is produced for every mole   consumed Option 2)   is consumed for ever      produced Option 3) is produced regardless of temperature and pressure for every mole Al that reacts Option 4) at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, will contain 0.25 mole of oxygen atoms?

 Option 1) 0.02 Option 2) 3.125 × 10-2 Option 3) 1.25 × 10-2 Option 4) 2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

 Option 1) decrease twice Option 2) increase two fold Option 3) remain unchanged Option 4) be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

 Option 1) Molality Option 2) Weight fraction of solute Option 3) Fraction of solute present in water Option 4) Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

 Option 1) twice that in 60 g carbon Option 2) 6.023 × 1022 Option 3) half that in 8 g He Option 4) 558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

 Option 1) less than 3 Option 2) more than 3 but less than 6 Option 3) more than 6 but less than 9 Option 4) more than 9

Database professionals use software to store and organise data such as financial information, and customer shipping records. Individuals who opt for a career as data administrators ensure that data is available for users and secured from unauthorised sales. DB administrators may work in various types of industries. It may involve computer systems design, service firms, insurance companies, banks and hospitals.

4 Jobs Available
##### Bio Medical Engineer

The field of biomedical engineering opens up a universe of expert chances. An Individual in the biomedical engineering career path work in the field of engineering as well as medicine, in order to find out solutions to common problems of the two fields. The biomedical engineering job opportunities are to collaborate with doctors and researchers to develop medical systems, equipment, or devices that can solve clinical problems. Here we will be discussing jobs after biomedical engineering, how to get a job in biomedical engineering, biomedical engineering scope, and salary.

4 Jobs Available
##### Ethical Hacker

A career as ethical hacker involves various challenges and provides lucrative opportunities in the digital era where every giant business and startup owns its cyberspace on the world wide web. Individuals in the ethical hacker career path try to find the vulnerabilities in the cyber system to get its authority. If he or she succeeds in it then he or she gets its illegal authority. Individuals in the ethical hacker career path then steal information or delete the file that could affect the business, functioning, or services of the organization.

3 Jobs Available
##### GIS Expert

GIS officer work on various GIS software to conduct a study and gather spatial and non-spatial information. GIS experts update the GIS data and maintain it. The databases include aerial or satellite imagery, latitudinal and longitudinal coordinates, and manually digitized images of maps. In a career as GIS expert, one is responsible for creating online and mobile maps.

3 Jobs Available
##### Data Analyst

The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.

Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

3 Jobs Available
##### Geothermal Engineer

Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.

3 Jobs Available
##### Database Architect

If you are intrigued by the programming world and are interested in developing communications networks then a career as database architect may be a good option for you. Data architect roles and responsibilities include building design models for data communication networks. Wide Area Networks (WANs), local area networks (LANs), and intranets are included in the database networks. It is expected that database architects will have in-depth knowledge of a company's business to develop a network to fulfil the requirements of the organisation. Stay tuned as we look at the larger picture and give you more information on what is db architecture, why you should pursue database architecture, what to expect from such a degree and what your job opportunities will be after graduation. Here, we will be discussing how to become a data architect. Students can visit NIT Trichy, IIT Kharagpur, JMI New Delhi

3 Jobs Available
##### Remote Sensing Technician

Individuals who opt for a career as a remote sensing technician possess unique personalities. Remote sensing analysts seem to be rational human beings, they are strong, independent, persistent, sincere, realistic and resourceful. Some of them are analytical as well, which means they are intelligent, introspective and inquisitive.

Remote sensing scientists use remote sensing technology to support scientists in fields such as community planning, flight planning or the management of natural resources. Analysing data collected from aircraft, satellites or ground-based platforms using statistical analysis software, image analysis software or Geographic Information Systems (GIS) is a significant part of their work. Do you want to learn how to become remote sensing technician? There's no need to be concerned; we've devised a simple remote sensing technician career path for you. Scroll through the pages and read.

3 Jobs Available
##### Budget Analyst

Budget analysis, in a nutshell, entails thoroughly analyzing the details of a financial budget. The budget analysis aims to better understand and manage revenue. Budget analysts assist in the achievement of financial targets, the preservation of profitability, and the pursuit of long-term growth for a business. Budget analysts generally have a bachelor's degree in accounting, finance, economics, or a closely related field. Knowledge of Financial Management is of prime importance in this career.

4 Jobs Available
##### Data Analyst

The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.

Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

3 Jobs Available
##### Underwriter

An underwriter is a person who assesses and evaluates the risk of insurance in his or her field like mortgage, loan, health policy, investment, and so on and so forth. The underwriter career path does involve risks as analysing the risks means finding out if there is a way for the insurance underwriter jobs to recover the money from its clients. If the risk turns out to be too much for the company then in the future it is an underwriter who will be held accountable for it. Therefore, one must carry out his or her job with a lot of attention and diligence.

3 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available
##### Operations Manager

Individuals in the operations manager jobs are responsible for ensuring the efficiency of each department to acquire its optimal goal. They plan the use of resources and distribution of materials. The operations manager's job description includes managing budgets, negotiating contracts, and performing administrative tasks.

3 Jobs Available
##### Stock Analyst

Individuals who opt for a career as a stock analyst examine the company's investments makes decisions and keep track of financial securities. The nature of such investments will differ from one business to the next. Individuals in the stock analyst career use data mining to forecast a company's profits and revenues, advise clients on whether to buy or sell, participate in seminars, and discussing financial matters with executives and evaluate annual reports.

2 Jobs Available
##### Researcher

A Researcher is a professional who is responsible for collecting data and information by reviewing the literature and conducting experiments and surveys. He or she uses various methodological processes to provide accurate data and information that is utilised by academicians and other industry professionals. Here, we will discuss what is a researcher, the researcher's salary, types of researchers.

2 Jobs Available
##### Welding Engineer

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.

5 Jobs Available
##### Transportation Planner

A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.

3 Jobs Available
##### Environmental Engineer

Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems.

2 Jobs Available
##### Safety Manager

A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.

2 Jobs Available
##### Conservation Architect

A Conservation Architect is a professional responsible for conserving and restoring buildings or monuments having a historic value. He or she applies techniques to document and stabilise the object’s state without any further damage. A Conservation Architect restores the monuments and heritage buildings to bring them back to their original state.

2 Jobs Available
##### Structural Engineer

A Structural Engineer designs buildings, bridges, and other related structures. He or she analyzes the structures and makes sure the structures are strong enough to be used by the people. A career as a Structural Engineer requires working in the construction process. It comes under the civil engineering discipline. A Structure Engineer creates structural models with the help of computer-aided design software.

2 Jobs Available
##### Highway Engineer

Highway Engineer Job Description: A Highway Engineer is a civil engineer who specialises in planning and building thousands of miles of roads that support connectivity and allow transportation across the country. He or she ensures that traffic management schemes are effectively planned concerning economic sustainability and successful implementation.

2 Jobs Available
##### Field Surveyor

Are you searching for a Field Surveyor Job Description? A Field Surveyor is a professional responsible for conducting field surveys for various places or geographical conditions. He or she collects the required data and information as per the instructions given by senior officials.

2 Jobs Available
##### Orthotist and Prosthetist

Orthotists and Prosthetists are professionals who provide aid to patients with disabilities. They fix them to artificial limbs (prosthetics) and help them to regain stability. There are times when people lose their limbs in an accident. In some other occasions, they are born without a limb or orthopaedic impairment. Orthotists and prosthetists play a crucial role in their lives with fixing them to assistive devices and provide mobility.

6 Jobs Available
##### Pathologist

A career in pathology in India is filled with several responsibilities as it is a medical branch and affects human lives. The demand for pathologists has been increasing over the past few years as people are getting more aware of different diseases. Not only that, but an increase in population and lifestyle changes have also contributed to the increase in a pathologist’s demand. The pathology careers provide an extremely huge number of opportunities and if you want to be a part of the medical field you can consider being a pathologist. If you want to know more about a career in pathology in India then continue reading this article.

5 Jobs Available
##### Gynaecologist

Gynaecology can be defined as the study of the female body. The job outlook for gynaecology is excellent since there is evergreen demand for one because of their responsibility of dealing with not only women’s health but also fertility and pregnancy issues. Although most women prefer to have a women obstetrician gynaecologist as their doctor, men also explore a career as a gynaecologist and there are ample amounts of male doctors in the field who are gynaecologists and aid women during delivery and childbirth.

4 Jobs Available
##### Audiologist

The audiologist career involves audiology professionals who are responsible to treat hearing loss and proactively preventing the relevant damage. Individuals who opt for a career as an audiologist use various testing strategies with the aim to determine if someone has a normal sensitivity to sounds or not. After the identification of hearing loss, a hearing doctor is required to determine which sections of the hearing are affected, to what extent they are affected, and where the wound causing the hearing loss is found. As soon as the hearing loss is identified, the patients are provided with recommendations for interventions and rehabilitation such as hearing aids, cochlear implants, and appropriate medical referrals. While audiology is a branch of science that studies and researches hearing, balance, and related disorders.

3 Jobs Available
##### Oncologist

An oncologist is a specialised doctor responsible for providing medical care to patients diagnosed with cancer. He or she uses several therapies to control the cancer and its effect on the human body such as chemotherapy, immunotherapy, radiation therapy and biopsy. An oncologist designs a treatment plan based on a pathology report after diagnosing the type of cancer and where it is spreading inside the body.

3 Jobs Available
##### Anatomist

Are you searching for an ‘Anatomist job description’? An Anatomist is a research professional who applies the laws of biological science to determine the ability of bodies of various living organisms including animals and humans to regenerate the damaged or destroyed organs. If you want to know what does an anatomist do, then read the entire article, where we will answer all your questions.

2 Jobs Available
##### Actor

For an individual who opts for a career as an actor, the primary responsibility is to completely speak to the character he or she is playing and to persuade the crowd that the character is genuine by connecting with them and bringing them into the story. This applies to significant roles and littler parts, as all roles join to make an effective creation. Here in this article, we will discuss how to become an actor in India, actor exams, actor salary in India, and actor jobs.

4 Jobs Available
##### Acrobat

Individuals who opt for a career as acrobats create and direct original routines for themselves, in addition to developing interpretations of existing routines. The work of circus acrobats can be seen in a variety of performance settings, including circus, reality shows, sports events like the Olympics, movies and commercials. Individuals who opt for a career as acrobats must be prepared to face rejections and intermittent periods of work. The creativity of acrobats may extend to other aspects of the performance. For example, acrobats in the circus may work with gym trainers, celebrities or collaborate with other professionals to enhance such performance elements as costume and or maybe at the teaching end of the career.

3 Jobs Available
##### Video Game Designer

Career as a video game designer is filled with excitement as well as responsibilities. A video game designer is someone who is involved in the process of creating a game from day one. He or she is responsible for fulfilling duties like designing the character of the game, the several levels involved, plot, art and similar other elements. Individuals who opt for a career as a video game designer may also write the codes for the game using different programming languages.

Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.

3 Jobs Available

Radio Jockey is an exciting, promising career and a great challenge for music lovers. If you are really interested in a career as radio jockey, then it is very important for an RJ to have an automatic, fun, and friendly personality. If you want to get a job done in this field, a strong command of the language and a good voice are always good things. Apart from this, in order to be a good radio jockey, you will also listen to good radio jockeys so that you can understand their style and later make your own by practicing.

A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.

3 Jobs Available
##### Choreographer

The word “choreography" actually comes from Greek words that mean “dance writing." Individuals who opt for a career as a choreographer create and direct original dances, in addition to developing interpretations of existing dances. A Choreographer dances and utilises his or her creativity in other aspects of dance performance. For example, he or she may work with the music director to select music or collaborate with other famous choreographers to enhance such performance elements as lighting, costume and set design.

2 Jobs Available
##### Social Media Manager

A career as social media manager involves implementing the company’s or brand’s marketing plan across all social media channels. Social media managers help in building or improving a brand’s or a company’s website traffic, build brand awareness, create and implement marketing and brand strategy. Social media managers are key to important social communication as well.

2 Jobs Available
##### Photographer

Photography is considered both a science and an art, an artistic means of expression in which the camera replaces the pen. In a career as a photographer, an individual is hired to capture the moments of public and private events, such as press conferences or weddings, or may also work inside a studio, where people go to get their picture clicked. Photography is divided into many streams each generating numerous career opportunities in photography. With the boom in advertising, media, and the fashion industry, photography has emerged as a lucrative and thrilling career option for many Indian youths.

2 Jobs Available
##### Producer

An individual who is pursuing a career as a producer is responsible for managing the business aspects of production. They are involved in each aspect of production from its inception to deception. Famous movie producers review the script, recommend changes and visualise the story.

They are responsible for overseeing the finance involved in the project and distributing the film for broadcasting on various platforms. A career as a producer is quite fulfilling as well as exhaustive in terms of playing different roles in order for a production to be successful. Famous movie producers are responsible for hiring creative and technical personnel on contract basis.

2 Jobs Available
##### Copy Writer

In a career as a copywriter, one has to consult with the client and understand the brief well. A career as a copywriter has a lot to offer to deserving candidates. Several new mediums of advertising are opening therefore making it a lucrative career choice. Students can pursue various copywriter courses such as Journalism, Advertising, Marketing Management. Here, we have discussed how to become a freelance copywriter, copywriter career path, how to become a copywriter in India, and copywriting career outlook.

5 Jobs Available
##### Vlogger

In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion.

Ever since internet costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the article.

3 Jobs Available
##### Publisher

For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

3 Jobs Available
##### Journalist

Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.

3 Jobs Available
##### Editor

Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

3 Jobs Available
##### Reporter

Individuals who opt for a career as a reporter may often be at work on national holidays and festivities. He or she pitches various story ideas and covers news stories in risky situations. Students can pursue a BMC (Bachelor of Mass Communication), B.M.M. (Bachelor of Mass Media), or MAJMC (MA in Journalism and Mass Communication) to become a reporter. While we sit at home reporters travel to locations to collect information that carries a news value.

2 Jobs Available
##### Corporate Executive

Are you searching for a Corporate Executive job description? A Corporate Executive role comes with administrative duties. He or she provides support to the leadership of the organisation. A Corporate Executive fulfils the business purpose and ensures its financial stability. In this article, we are going to discuss how to become corporate executive.

2 Jobs Available
##### Multimedia Specialist

A multimedia specialist is a media professional who creates, audio, videos, graphic image files, computer animations for multimedia applications. He or she is responsible for planning, producing, and maintaining websites and applications.

2 Jobs Available
##### Welding Engineer

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.

5 Jobs Available
##### Quality Controller

A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product.

A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

3 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available

A QA Lead is in charge of the QA Team. The role of QA Lead comes with the responsibility of assessing services and products in order to determine that he or she meets the quality standards. He or she develops, implements and manages test plans.

2 Jobs Available
##### Structural Engineer

A Structural Engineer designs buildings, bridges, and other related structures. He or she analyzes the structures and makes sure the structures are strong enough to be used by the people. A career as a Structural Engineer requires working in the construction process. It comes under the civil engineering discipline. A Structure Engineer creates structural models with the help of computer-aided design software.

2 Jobs Available
##### Process Development Engineer

The Process Development Engineers design, implement, manufacture, mine, and other production systems using technical knowledge and expertise in the industry. They use computer modeling software to test technologies and machinery. An individual who is opting career as Process Development Engineer is responsible for developing cost-effective and efficient processes. They also monitor the production process and ensure it functions smoothly and efficiently.

2 Jobs Available
##### AWS Solution Architect

An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party.

4 Jobs Available

An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems.

4 Jobs Available
##### Computer Programmer

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available
##### Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available
##### Information Security Manager

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack

3 Jobs Available
##### Automation Test Engineer

An Automation Test Engineer job involves executing automated test scripts. He or she identifies the project’s problems and troubleshoots them. The role involves documenting the defect using management tools. He or she works with the application team in order to resolve any issues arising during the testing process.

2 Jobs Available