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NCERT Solutions for Class 6 Maths Chapter 10 Mensuration

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NCERT Solutions for Class 6 Maths Chapter 10 Mensuration

Edited By Ramraj Saini | Updated on Nov 30, 2023 10:07 AM IST

NCERT Solutions for Class 6 Maths Chapter 10 Mensuration are discussed in this article. These NCERT solutions are created by expert team at careers360 considering the latest CBSE syllabus 2023. It is a process of measurement which is needed for different geometric shapes both 2D and 3D shapes. In CBSE NCERT solutions for mensuration class 6, you will get many questions related to calculating the perimeter and area of a rectangle, square and a triangle. You must go through these NCERT Solutions to get a better idea of how to solve a particular problem.

NCERT Class 6 solution for chapter 10 is more focused on the measurement of 2-D shapes. As per the NCERT Syllabus for Class 6 Maths, there are 30 questions given in the 3 exercises of this chapter. In solutions of NCERT for Class 6 Maths chapter 10 mensuration, there are some problems where you have to find areas of figures by counting the number of squares, and sum of their area is the total area of that figure. Refer to the NCERT Books for Class 6 Maths for more clarity of the concepts. All these questions are explained in NCERT Solutions for Class 6 . It will help you to understand the concept of NCERT in a more easy way.

NCERT Solutions for Class 6 Maths Chapter 10 Mensuration - Important Formulae

  1. The size of a line segment is its length.

  2. Various units of measurement are connected by the following relations:

    • 1 kilometer = 1000 metre (m)

    • 1 metre = 100 centimetre (cm)

    • 1 decimetre = 10 centimetre (cm)

    • 1 metre = 10 decimetre (dm)

    • 1 centimetre = 10 millimetre (mm)

    • 1 foot= 12 inches

    • 1 yard = 3 feet

    • 22 yards = 1 chain

  3. A closed plane figure together with its interior is called the region enclosed by it.

  4. Perimeter of the figure = Sum of the lengths of all sides of a plane figure

  5. Area = Measurement of the region enclosed by a closed plane figure

  6. A square centimetre is the area of the region formed by a square of 1 cm.

  7. Standard units of area and their relations are:

    • 100 mm2 = 1 cm2

    • 100 cm2 = 1 dm2

    • 100 dm2 = 1 m2

    • 10000 cm2 = 1 m2

    • 100 m2 = 1 are

    • 100 ares = 1 hectare

    • 100 hectares = 1 sq. km.

  8. Perimeter of a rectangle = 2 (Length + Width) Or, P = 2(l + b)

  9. Perimeter of a square = 4 (Side) Or, P = 4l

  10. Area of a rectangle = Length x Breadth Or, A = lb

  11. Length of a rectangle = Area/Breath Or, l = A/b

  12. Width of a rectangle = Area/Length Or, b= A/l

Area of a square= (Side)2

NCERT Solutions for Class 6 Maths Chapter 10 Mensuration - Important Points

Perimeter: The distance covered along the boundary of a closed figure when you go around the figure once. It represents the total length of the figure's boundary.

(a) Perimeter of a rectangle: It is calculated by adding twice the length and twice the breadth of the rectangle.

(b) Perimeter of a square: It is calculated by multiplying the length of one side by 4.

(c) Perimeter of an equilateral triangle: It is calculated by multiplying the length of one side by 3.

Regular closed figures: These are figures in which all sides and angles are equal. Examples include regular polygons such as equilateral triangles, squares, and regular hexagons.

Area: It refers to the amount of surface enclosed by a closed figure. It is measured in square units and represents the two-dimensional space within the boundaries of the figure.

Conventions for calculating area using squared paper:

(a) Ignore portions of the area that are less than half a square. They are not counted as complete units.

(b) If more than half a square is in a region, count it as one square unit.

(c) If exactly half of a square is counted, its area is considered as 1/2 square units.

(a) Area of a rectangle: It is calculated by multiplying the length and breadth of the rectangle.

(b) Area of a square: It is calculated by multiplying the length of one side by itself.

Free downlaod NCERT Solutions for Class 6 Maths Chapter 10 Mensuration for CBSE Exam

NCERT Solutions for Class 6 Maths Chapter 10 Mensuration

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NCERT Solutions for Class 6 Maths Chapter 10 Mensuration (Intext Questions and Exercise)

NCERT Class 7 Maths Chapter 10 Mensuration Topic 10.2 Perimeter

Question:3 Meera went to a park 150 m long and 80 m wide. She took one complete round on its boundary. What is the distance covered by her?

Answer: The park is 150m long and 80 m wide. The parks are of the shape of the rectangle. The distance covered by Meera = perimeter of park = 2 (150+80)= 460 m

Question:4 Find the perimeter of the following figures:

235664

Perimeter = AB + BC + CD + DA
= __+__+__+__
= ______

2666464

Perimeter = AB + BC + CD + DA
= __ + __ + __+ __
= ______

45545

Perimeter = AB + BC + CD + DE + EF + FG + GH +HI + IJ + JK + KL + LA
= __ + __ +__ + __ + __ + __ + __ + __ +__+ __ + __ + __
= ______

48748478

Perimeter = AB + BC + CD + DE + EF+ FA
= __ + __ + __ + __ + __ + __
= ______

Answer: Find the perimeter of the following figures:

356644

Perimeter = AB + BC + CD + DA
= 40+10+40+10
= 100

487874

Perimeter = AB + BC + CD + DA
=5+5+5+5=20

45454612

Perimeter = AB + BC + CD + DE + EF + FG + GH +HI + IJ + JK + KL + LA
=1+3+3+1+3+3+1+3+3+1+3+3=28 cm

4878454

Perimeter = AB + BC + CD + DE + EF+ FA
=100 + 120 + 90 + 45+ 60 +80=495 cm

NCERT Class 7 Maths Chapter 10 Mensuration Topic 10.2.1 Perimeter of a Rectangle

Question: Find the perimeter of the following rectangles:

download4845454

Answer:

Length of rectangle Breadth of rectangle Perimeter by adding all sides perimeter by 2\times(length + breadth)
25 cm 12 cm =25+12+25+12=74 cm \\2\times(25+12)\\2\times37=74\ cm
0.5 cm 0.25cm =0.5+0.25+0.5+0.25=1.5cm \\2\times(0.25+0.5)\\2\times0.75=1.5\ cm
18 cm 15 cm =18+15+18+15=66 cm \\2\times(18+15)\\2\times33=66\ cm
10.5 cm 8.5 cm =10.5+8.5+10.5+8.5=38 cm \\2\times(10.5+8.5)\\2\times19=38\ cm

NCERT Class 6 Maths Chapter 10 Mensuration Exercise: 10.1

Question: 1 Find the perimeter of each of the following figures :

1643092937153

Answer: The perimeter of the following figures-
Perimeter = sum of all sides

Therefore,
(a) Perimeter = 4 cm + 2cm +1 cm +5cm = 12 cm

(b) Perimeter = 23 cm + 35 cm + 40cm + 35cm = 133 cm

(c) Required perimeter = 15cm + 15 cm + 15 cm +15 cm = 60 cm

(d) Required perimeter= (4 + 4 + 4 + 4 + 4) cm = 20 cm

(e) Perimeter = 4cm + 0.5 cm +2.5cm +2.5cm + 0.5cm +4cm +1cm = 15cm

(f) Perimeter = Sum of all sides = 4 \times (4cm) + 4 \times (1 cm) + 8 \times (3 cm) + 4 \times (2cm) = (16 + 4 + 24 + 8)cm =52 cm

Question: 2 The lid of a rectangular box of sides 40 cm by 10 cm is sealed all round with tape. What is the length of the tape required?

Answer: We have,
Length = 40 cm and,
Breadth = 10 cm

So, the length of tape required = perimeter of the rectangular box
= 2 (L + B)
= 2 \times 50 cm
= 100 cm

Hence 100 cm tape is required.

Question: 3 A table-top measures 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top?

Answer: We have table-top measures 2 m 25 cm by 1 m 50 cm.
Therefore, the Perimeter of the table-top = sum of all sides
= 2 \times (L+B)
= 2 \times ((2m + 0.25m) + (1m + 0.5m))
= 7.5 m

Question: 4 What is the length of the wooden strip required to frame a photograph of length and breadth 32 cm and 21 cm respectively?

Answer: We have,
Length and breadth of a photograph is 32 cm and 21 cm respectively.

So, According to question,
Length of wooden strip required to frame the photograph = 2 [L + B]
= 2 [32 + 21] cm
= 2 \times 53 cm = 106 cm

Hence the required length of the strip is 106 cm or 1.06 m

Question: 5 A rectangular piece of land measures 0.7 km by 0.5 km. Each side is to be fenced with 4 rows of wires. What is the length of the wire needed?

Answer: We have,
A rectangular piece of land measures 0.7 km by 0.5 km and side is to be fenced with 4 rows of wires.

As per the question,

Required length of wires
= 4 \times 2 [ 0.7 km + 0.5 km]
= 8 \times 1.2 km
= 9.6 km

Question: 6 Find the perimeter of each of the following shapes :

(a) A triangle of sides 3 cm, 4 cm and 5 cm.

(b) An equilateral triangle of side 9 cm.

(c) An isosceles triangle with equal sides 8 cm each and third side 6 cm.

Answer: (a) The perimeter of a triangle = Sum of all the three sides
= 3cm + 4cm + 5cm
= 12 cm

(b) The perimeter of a eqilateral triangle
= Sum of all the sides of the triangle
= (9cm +9cm +9cm)
= 27cm

(c) Perimeter of a given isosceles triangle
= Sum of all sides
= 8cm + 8cm +6cm
= 22 cm

Question: 7 Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and 15 cm.

Answer: We all know that,
Perimeter of a triangle = sum of all the sides of the triangle
=10cm + 14cm +15cm
= 39 cm

Question: 8 Find the perimeter of a regular hexagon with each side measuring 8 m.

Answer: It is known that,
A regular hexagon has six equal sides.
So, the perimeter of the regular hexagon
= 6 \times side
= 6 \times 8m = 48m

Question: 9 Find the side of the square whose perimeter is 20 m.

Answer: Given that,
The perimeter of the square is 20m
According to question,
The perimeter of square = 4 \times side
\therefore\ side = \frac{20}{4}=5\ m

Question: 10 The perimeter of a regular pentagon is 100 cm. How long is its each side?

Answer: Given,
The perimeter of a regular pentagon is 100cm and,
no. of sides in regular pentagon is five (5)
therefore, the length of each side
=\frac{100}{5}=20cm

Question: 11 A piece of string is 30 cm long. What will be the length of each side if the string is used to form :

(a) a square? (b) an equilateral triangle? (c) a regular hexagon?

Answer: Given that,

Length of the string is 30 cm
(a)For square,
Number of sides = 4
Therefore, Length of one side = 30 /4 = 7.5 cm

(b)For equilateral triangle,
Number of sides = 3
Therefore, length of sides = 30/3 = 10cm

(c) For a regular hexagon,
Number of sides = 6
Therefore, Length of one side = 30/6 = 5cm


Question: 12 Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?

Answer: Given that,
The two sides of the triangle are 12 cm and 14 cm. let the third side be A.
And the perimeter of the triangle is 36cm.

Therefore, the Perimeter of the triangle
= sum of all sides of the triangle
= 12cm +14cm + A = 36cm
= A + 26cm =36cm
= A = 10cm

Question: 13 Find the cost of fencing a square park of side 250 m at the rate of rupees 20 per metre.

Answer: Given that,
Length of the square park = 250 m

Cost of fencing = rs. 20 per meter

Therefore, the Perimeter of the square park =
= 4 \times 250
=1000 m
= 1km

So, total cost = 20 \times 1000 = 20,000 Rs

Question: 14 Find the cost of fencing a rectangular park of length 175 m and breadth 125 m at the rate of rupees 12 per metre.

Answer: Given that,
The length of the rectangular park is 15 m and the breadth is 125m.
Cost of fencing rate = Rs 12 per meter

Therefore,
Perimeter of the park
=2 [L + B]
= 2 [175 +125]
=2 \times 300m
=600m

So, the total cost of fencing = 600 \times 12 = Rs. 7,200

Question: 15 Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular park with length 60 m and breadth 45 m. Who covers less distance?

Answer: Given that,
Length of the square park = 75m
Length and breadth of the rectangular park is 60 m and 45m respectively

Therefore,
The perimeter of the square park
= 4 \times 75
=300 m

Also, the Perimeter of the rectangular park
= 2 \times ( 60 + 45)
=2 \times 105m
=210m

Hence Bulbul covers the less distance.

Question: 16 What is the perimeter of each of the following figures? What do you infer from the answers?

1643092972347

Answer: (a) The perimeter of the square
= Sum of all the four side = 4 \times side
= 4 \times 25
= 100 cm

(b)The perimeter of the rectangle
= SUm of all the sides = 2 \times [length + breadth )
= 2 \times (20 + 30)
= 2 \times 50
= 100

(c)The perimeter of the rectangle
= Sum of all the sides = 2 \times [length + breadth ]
= 2 \times (40 + 10)
= 2 \times 50
= 100 cm

(d)The perimeter of the triangle
= Sum of all three sides of the triangle
= 30cm + 30cm + 40cm
=100cm

We conclude all the given figures have the same perimeter.

Question:1 7 Avneet buys 9 square paving slabs, each with a side of \frac{1}{2}m . He lays them in the form of a square.

(a) What is the perimeter of his arrangement ?

(b) Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement?

(c) Which has greater perimeter?

(d) Avneet wonders if there is a way of getting an even greater perimeter. Can you find a way of doing this?

1643093002368

Answer: Given that,
Length of each slab = 1/2 m
So, the length of the square = 3/2\ m


(a) The first figure is a square
So, the perimeter of the square = 4 \times side
= 4 \times 3/2 m = 6\ m

(b) The perimeter of the 2nd figure
= Sum of all the sides
= (4\times \frac{1}{2} + 8 \times 1)
= 10 m

(c) Figure (ii) has a greater perimeter than fig (i)

(d) Arrange all the slab in horizontally, it forms a rectangle whose dimensions are \frac{9}{2}\ by\ \frac{1}{2}

NCERT Class 6 Maths Chapter 10 Mensuration Exercise 10.2

Question: 1 Find the areas of the following figures by counting square:

1643093035011

Answer: Area of 1 square = 1sq. unit

(a) Number of total squares = 9
Therefore, the area of 9 squares = 9 sq. units

(b) In fig (b) the total number of square = 5
Therefore, are = 5 sq units

(c) In fig (c) the number of squares = 4
So, the area is 4 sq. units

(d) In fig (d) number of squares = 8
Therefore, area = 8 sq. units

(e) Total number of square = 10
therefore, area = 10 sq. units

(f) total number of squares = 4
Therefore, area = 4 sq. units

(g) Total number of square = 6
therefore, area = 6 sq. units

(h) Total number of square = 5
therefore, area = 5 sq. units

(i) Total number of square = 9
therefore, area = 9 sq. units

(j) Total number of square = 4
therefore, are = 4 sq. units

(k) Total number of square = 5
therefore, area = 5 sq. units

(l) Total number of full squares = 4
Squares more than half = 3
half squares = 2
Therefore, the total area = 8 sq. units

(m) Count more than half squares as 1
Now, the total number of squares = 14
Therefore, the total area = 14 sq. unit

(n) Count more than half squares as 1
Now, the total number of squares = 18
Therefore, the total area = 18 sq. unit

NCERT Class 6 Maths Chapter 10 Mensuration Topic 10.3.1 Area of A Rectangle

Question:1 Find the area of the floor of your classroom.

Answer: If floor length is 3m and breadth is 2m then

floor \ area=length\times breadth=3\times2=6m^2

Question:2 Find the area of any one door in your house.

Answer: Suppose the length of door is 2m and breadth is 0.5 m

then the area of door = length\times breadth=2\times0.5=1m^2

NCERT Class 6 Maths Chapter 10 Mensuration Exercise 10.3

Question:1 Find the areas of the rectangles whose sides are :

(a) 3 cm and 4 cm
(b) 12 m and 21 m
(c) 2 km and 3 km
(d) 2 m and 70 cm

Answer: We know that area of a rectangle = length \times breadth
Therefore,
(a) Here length is 3cm and the breadth of the rectangle is 4cm
So, the area of the rectangle
= 3 \times 4 = 12\ cm^2
(b) Here length is 12m and the breadth of the rectangle is 21m
So, the area of the rectangle
= 12 \times 21 = 252\ m^2
(c) Here length is 3km and the breadth of the rectangle is 3km
So, the area of the rectangle ?
= 2 \times 3 = 6\ km^2
(d) Here length is 2m and the breadth of the rectangle is 70cm = 70/100 = 0.7 m
So, the area of the rectangle
= 2 \times 0.7= 1.4\ m^2

Question: 2 Find the areas of the squares whose sides are :

(a) 10 cm (b) 14 cm (c) 5 m

Answer: It is known that area of a square = (side)^2

(a) The length of a side of a square = 10cm
So, the area = (10)^2 =100cm^2

(b)The length of a side of a square = 14cm
So, the area = (14)^2 =196cm^2

(c) The length of a side of a square = 5m
So, the area = (5)^2 =25m^2


Question: 3 The length and breadth of three rectangles are as given below :

(a) 9 m and 6 m (b) 17 m and 3 m (c) 4 m and 14 m

Which one has the largest area and which one has the smallest?

Answer: We know that area of a rectangle = length \times breadth
Therefore,
(a) Here length is 9m and the breadth of the rectangle is 6m
So, the area of the rectangle
= 9\times 6 = 54m^2

(b) Here length is 17 m and the breadth of the rectangle is 3m
So, the area of the rectangle
= 17\times 3 = 51m^2

(c) Here length is 4m and the breadth of the rectangle is 14m
So, the area of the rectangle
= 4\times 14 = 56m^2

Hence rectangle C has the greatest area and rectangle B has the least area.

Question: 4 The area of a rectangular garden 50 m long is 300 sq m. Find the width of the garden.

Answer: Given that,
Area of the rectangular garden = 300 sq. m
and the length = 50 m

Therefore, the Width of the garden = \frac{Area}{length}
= 300/50 = 6\ m

Hence the width of the garden is 6 m

Question: 5 What is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of rupees 8 per hundred sq m.?

Answer: Given that,
Length of the rectangular plot = 500m
and the width = 200 m
fencing cost = Rs 8 per hundred sq. meter

Therefore, the area of the plot
= 500\times 200 = 100,000 \ m^2

Now, Total rate of tiling of 100,1000 m 2 = \frac{8}{100}\times 100,000
= Rs 8000

Question: 6 A table-top measures 2 m by 1 m 50 cm. What is its area in square metres?

Answer: Given that,
Length of the table-top = 2m
and it's breadth = 1.5 m

Therefore, the area of the tabletop
= length \times breadth
= 2 \times 1.5
=3\ m^2

Question: 7 A room is 4 m long and 3 m 50 cm wide. How many square metres of carpet is needed to cover the floor of the room?

Answer: Given that,
Length of the room = 4 m
And it's breadth = 3.5 m
Area of the room = = length \times breadth
= 4 \times 3.5
= 14 m^2

Hence the area of carpet needed is 14 m^2

Question: 8 A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.

Answer: Given that,
Length of the floor = 5 m
and its width = 4 m
Therefore, the area of the floor
= length \times breadth
= 5\times 4 = 20\ m^2

And, side of the square carpet = 3m
Therefore, the area of the square carpet = (side)^2
= 3m \times 3m = 9m 2

Thus, the area of the floor which is not covered with carpet = 20 m^2-9m^2= 11m^2

Question: 9 Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?

Answer: Given that,
Length and breadth of the land are 5m and 4 m.
Side of the square flower bed = 1m
Therefore the area of the bed = 1 m^2

So, Area of 5 square flower bed = 5 m^2

Area of the and = length \times breadth
= 5m\times 4m = 20 m^2

Thus, the area of the remaining part of the land = Area of land - area of the flower bed
= 20 m^2 - 5 m^2 = 15 m^2


Question:1 0 By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

1643093070976

Answer: (a) Split the given figures into small rectangular parts as shown here;
2653
Now, the area of the rectangle (I) = l\times b = 4 \times 3 = 12 cm^2
the area of the rectangle (II) = l\times b = 3 \times 2= 6 cm^2
the area of the rectangle (III) = l\times b = 4 \times 1 = 4 cm^2
the area of the rectangle (IV) = l\times b = 3 \times 2 = 6 cm^2

So, the total area of the figure = sum area of all rectangles
= (12 + 6 + 4 + 6) cm^2
= 28 cm^2

(b) Split the given figure into smalle rectangles as shown here;
3654
the area of the rectangle (I) = l\times b = 3 \times 1 = 3 cm^2
the area of the rectangle (II) = l\times b = 3 \times 1= 3 cm^2
the area of the rectangle (III) = l\times b = 3 \times 1 = 3 cm^2 ?

Therefore, the total area of the figure = sum of the area of all the small rectangles
= 3+3+3
= 9cm^2

Question:11 Split the following shapes into rectangles and find their areas. (The measures are given in centimetres)

1643093104177

Answer: (a) Split the given figure into a small rectangle, as shown here;
3266465
Now, the area of the rectangle (I) = l\times b = 12 \times 2 = 24cm^2
the area of the rectangle (II) = l\times b = 8 \times 2= 16cm^2

Therefore, Total area = 24cm^2 + 16cm^2 = 40cm^2

(b) Split the given figure into a small rectangle, as shown here;
23654

Now, the area of the rectangle (I) = l\times b = 7 \times 7 = 49 cm^2
the area of the rectangle (II) = l\times b = 21 \times 7= 147 cm^2
Now, the area of the rectangle (III) = l\times b = 7 \times 7 = 49 cm^2

Therefore, Total area = 49cm^2 + 147cm^2 + 49cm^2 = 245 cm^2

(c) Split the given figure into a small rectangle, as shown here;

1643093132100

Now, the area of the rectangle (I) = l\times b = 2 \times 1 = 2 cm^2
the area of the rectangle (II) = l\times b = 5 \times 1= 5 cm^2
Now, the area of the rectangle (III) = l\times b = 2 \times 1 = 2 cm^2

Therefore, Total area = 2 cm^2 + 5cm^2 + 2cm^2 = 9cm^2

Question:12 How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively:

(a) 100 cm and 144 cm
(b) 70 cm and 36 cm.

Answer: Given that,
the length and breadth of the tiles are 12 cm and 5 cm

Therefore, the area of the tiles
= length \times breadth
= 12 cm \times 5 cm
= 60 cm 2

Now, (a) For 100 cm and 144 cm rectangular region,
Area of region = length \times breadth
= 14,400 cm 2

Therefore, the number of tiles needed = \frac{14,400}{60}=240 tiles

(b) For 70 cm and 36 cm rectangular region,
Area of region = length \times breadth
= 70 cm \times 36 cm
= 2520 m 2

Required number of tiles = \frac{2520}{60}=42

NCERT Solutions for Class 6 Subject Wise

NCERT Class 6 Maths Chapter 10 Mensuration Topics:

  • Perimeter
  • The perimeter of a rectangle
  • The perimeter of regular shapes
  • Area
  • Area of a rectangle
  • Area of a square

NCERT Solutions for Class 6 Mathematics Chapter Wise

Chapters No. Chapters Name
Chapter - 1 Knowing Our Numbers
Chapter - 2 Whole Numbers
Chapter - 3 Playing with Numbers
Chapter - 4 Basic Geometrical Ideas
Chapter - 5 Understanding Elementary Shapes
Chapter - 6 Integers
Chapter - 7 Fractions
Chapter - 8 Decimals
Chapter - 9 Data Handling
Chapter -10 Mensuration
Chapter -11 Algebra
Chapter -12 Ratio and Proportion
Chapter -13 Symmetry
Chapter -14 Practical Geometry

Key features of NCERT Solutions for Class 6 Maths chapter 10

Conceptual Clarity: The NCERT Maths Class 6 Chapter 10 solutions aim to improve students' conceptual understanding by simplifying complex topics into easier and more understandable explanations.

Comprehensive Coverage: The class 6 chapter 10 maths solutions cover all the important topics and subtopics of Chapter 10, ensuring that students gain a complete grasp of the chapter's content.

Exam-Focused Approach: The NCERT chapter 10 maths class 6 solutions are designed with a focus on exams, equipping students with the necessary tools and techniques to effectively tackle questions and score well in their examinations.

Also Check

NCERT Books and NCERT Syllabus

Happy Reading!!!

Frequently Asked Question (FAQs)

1. What is the perimeter of a rectangle?

The perimeter of a rectangle = 2×(Lenth+Breadth). it is advised to students to practice some problems based on the concepts to get good command. Above in this article detailed solutions are provided, you can go and practice questions there. this gives you confidence and finally lead to good score in the exam.

2. What the perimeter of square?

The perimeter of the square = 4×lenth of a side. practicing the problem based on the given formula gives you confindece that ultimately lead to score well in the exam.

3. According to chapter 10 class 6 maths, What is the area of rectangle?

The formula for area of rectangle is Lenth × Breadth. which is discussed in detail in NCERT solutions for class 6 maths chapter 10. Students can practice problems based on this formula to get command in the concepts.

4. What are the topics are covered in NCERT class 6 maths mensuration?

The main topics covered in NCERT syllabus Class 6 chapter 10 is given below-

  • Perimeter   
  • The perimeter of a rectangle   
  • The perimeter of regular shapes   
  • Area   
  • Area of a rectangle   
  •  Area of a square  

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Get answers from students and experts

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)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

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)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

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

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} 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

Data Administrator

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.

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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. 

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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.

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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.

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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.

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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.

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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

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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.

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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.

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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.

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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.

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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.  

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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.

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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.

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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.

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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. 

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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.

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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. 

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Safety Manager

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Conservation Architect

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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. 

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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. 

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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.

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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.

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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.

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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.

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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.

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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. 

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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. 

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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.

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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.

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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.

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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.

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Multimedia Specialist

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QA Manager
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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.

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QA Lead

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. 

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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. 

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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.

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QA Manager
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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. 

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Azure Administrator

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. 

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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.

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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.  

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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 

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ITSM Manager
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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
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