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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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    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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    The role of geotechnical engineer in mining includes designing and determining the type of foundations, earthworks, and or pavement subgrades required for the intended man-made structures to be made. Geotechnical engineering jobs are involved in earthen and concrete dam construction projects, working under a range of normal and extreme loading conditions. 

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    How fascinating it is to represent the whole world on just a piece of paper or a sphere. With the help of maps, we are able to represent the real world on a much smaller scale. Individuals who opt for a career as a cartographer are those who make maps. But, cartography is not just limited to maps, it is about a mixture of art, science, and technology. As a cartographer, not only you will create maps but use various geodetic surveys and remote sensing systems to measure, analyse, and create different maps for political, cultural or educational purposes.

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    A career as a Finance Executive requires one to be responsible for monitoring an organisation's income, investments and expenses to create and evaluate financial reports. His or her role involves performing audits, invoices, and budget preparations. He or she manages accounting activities, bank reconciliations, and payable and receivable accounts.  

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    An Investment Banking career involves the invention and generation of capital for other organizations, governments, and other entities. Individuals who opt for a career as Investment Bankers are the head of a team dedicated to raising capital by issuing bonds. Investment bankers are termed as the experts who have their fingers on the pulse of the current financial and investing climate. Students can pursue various Investment Banker courses, such as Banking and Insurance, and Economics to opt for an Investment Banking career path.

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    Bank Branch Managers work in a specific section of banking related to the invention and generation of capital for other organisations, governments, and other entities. Bank Branch Managers work for the organisations and underwrite new debts and equity securities for all type of companies, aid in the sale of securities, as well as help to facilitate mergers and acquisitions, reorganisations, and broker trades for both institutions and private investors.

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    Treasury analyst career path is often regarded as certified treasury specialist in some business situations, is a finance expert who specifically manages a company or organisation's long-term and short-term financial targets. Treasurer synonym could be a financial officer, which is one of the reputed positions in the corporate world. In a large company, the corporate treasury jobs hold power over the financial decision-making of the total investment and development strategy of the organisation.

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    Bank Probationary Officer (PO)

    A career as Bank Probationary Officer (PO) is seen as a promising career opportunity and a white-collar career. Each year aspirants take the Bank PO exam. This career provides plenty of career development and opportunities for a successful banking future. If you have more questions about a career as  Bank Probationary Officer (PO), what is probationary officer or how to become a Bank Probationary Officer (PO) then you can read the article and clear all your doubts. 

    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
    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
    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.

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    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
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    A Team Leader is a professional responsible for guiding, monitoring and leading the entire group. He or she is responsible for motivating team members by providing a pleasant work environment to them and inspiring positive communication. A Team Leader contributes to the achievement of the organisation’s goals. He or she improves the confidence, product knowledge and communication skills of the team members and empowers them.

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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. 

    2 Jobs Available
    Architect

    Individuals in the architecture career are the building designers who plan the whole construction keeping the safety and requirements of the people. Individuals in architect career in India provides professional services for new constructions, alterations, renovations and several other activities. Individuals in architectural careers in India visit site locations to visualize their projects and prepare scaled drawings to submit to a client or employer as a design. Individuals in architecture careers also estimate build costs, materials needed, and the projected time frame to complete a build.

    2 Jobs Available
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    2 Jobs Available
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    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.

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    Also Read: Career as Nurse

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    If you want to know more about talent agent meaning, how to become a Talent Agent, or Talent Agent job description then continue reading this article.

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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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    Resource Links for Online MBA 

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    A Quality Systems Manager is a professional responsible for developing strategies, processes, policies, standards and systems concerning the company as well as operations of its supply chain. It includes auditing to ensure compliance. It could also be carried out by a third party. 

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    A career as a merchandiser requires one to promote specific products and services of one or different brands, to increase the in-house sales of the store. Merchandising job focuses on enticing the customers to enter the store and hence increasing their chances of buying a product. Although the buyer is the one who selects the lines, it all depends on the merchandiser on how much money a buyer will spend, how many lines will be purchased, and what will be the quantity of those lines. In a career as merchandiser, one is required to closely work with the display staff in order to decide in what way a product would be displayed so that sales can be maximised. In small brands or local retail stores, a merchandiser is responsible for both merchandising and buying. 

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    The procurement Manager is also known as  Purchasing Manager. The role of the Procurement Manager is to source products and services for a company. A Procurement Manager is involved in developing a purchasing strategy, including the company's budget and the supplies as well as the vendors who can provide goods and services to the company. His or her ultimate goal is to bring the right products or services at the right time with cost-effectiveness. 

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    Individuals who opt for a career as a production planner are professionals who are responsible for ensuring goods manufactured by the employing company are cost-effective and meets quality specifications including ensuring the availability of ready to distribute stock in a timely fashion manner. 

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    ITSM Manager is a professional responsible for heading the ITSM (Information Technology Service Management) or (Information Technology Infrastructure Library) processes. He or she ensures that operation management provides appropriate resource levels for problem resolutions. The ITSM Manager oversees the level of prioritisation for the problems, critical incidents, planned as well as proactive tasks. 

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    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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    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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    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.  

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    IT Consultant

    An IT Consultant is a professional who is also known as a technology consultant. He or she is required to provide consultation to industrial and commercial clients to resolve business and IT problems and acquire optimum growth. An IT consultant can find work by signing up with an IT consultancy firm, or he or she can work on their own as independent contractors and select the projects he or she wants to work on.

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    Data Architect

    A Data Architect role involves formulating the organisational data strategy. It involves data quality, flow of data within the organisation and security of data. The vision of Data Architect provides support to convert business requirements into technical requirements. 

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    Security Engineer

    The Security Engineer is responsible for overseeing and controlling the various aspects of a company's computer security. Individuals in the security engineer jobs include developing and implementing policies and procedures to protect the data and information of the organisation. In this article, we will discuss the security engineer job description, security engineer skills, security engineer course, and security engineer career path.

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    UX Architect

    A UX Architect is someone who influences the design processes and its outcomes. He or she possesses a solid understanding of user research, information architecture, interaction design and content strategy. 

     

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