NCERT Solutions For Class 6 Maths Chapter 10 Mensuration Exercise 10.3

NCERT Solutions For Class 6 Maths Chapter 10 Mensuration Exercise 10.3 discusses the key topics including the important formulas and steps to be followed while determining the area of rectangle and square. We also have a set of examples which help students analyse the type of problems that would appear in the Class 6 exam. These NCERT Solutions Class 6 Maths help students improve their problem solving abilities which are important from the exam point of view.

NCERT Solutions for Class 6 Chapter 10: Mensuration Exercise 10.3 Download PDF

 

ncert solutions for class 6 maths chapter 10 ex 3
ncert solutions for class 6 maths chapter 10 ex 3
ncert solutions for class 6 maths chapter 10 ex 3
ncert solutions for class 6 maths chapter 10 ex 3
ncert solutions for class 6 maths chapter 10 ex 3
ncert solutions for class 6 maths chapter 10 ex 3

 

Access NCERT Solutions for Class 6 Chapter 10: Mensuration Exercise 10.3

1. Find the area 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

Solutions:

We know that

Area of rectangle = Length × Breadth

(a) l = 3 cm and b = 4 cm

Area = l × b = 3 × 4

= 12 cm2

(b) l = 12 m and b = 21 m

Area = l × b = 12 × 21

= 252 m2

(c) l = 2 km and b = 3 km

Area = l × b = 2 × 3

= 6 km2

(d) l = 2 m and b = 70 cm = 0.70 m

Area = l × b = 2 × 0.70

= 1.40 m2

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

(a) 10 cm

(b) 14 cm

(c) 5 m

Solutions:

(a) Area of square = side2

= 102

= 100 cm2

(b) Area of square = side2

= 142

= 196 cm2

(c) Area of square = side2

= 52

=25 cm2

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?

Solutions:

(a) Area of rectangle = l × b

= 9 × 6

= 54 m2

(b) Area of rectangle = l × b

= 17 × 3

= 51 m2

(c) Area of rectangle = l × b

= 4 × 14

= 56 m2

Area of rectangle 56 m2 i.e (c) is the largest area and area of rectangle 51 m2 i.e (b) is the smallest area

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

Solutions:

Area of rectangle = length × width

300 = 50 × width

width = 300 / 50

width = 6 m

∴ The width of the garden is 6 m

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

Solutions:

Area of land = length × breadth

= 500 × 200

= 1,00,000 m2

∴ Cost of tiling 1,00,000 sq m of land = (8 × 1,00,000) / 100

= ₹ 8000

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

Solutions:

Given

l = 2m

b = 1m 50 cm = 1.50 m

Area = l × b = 2 × 1.50

= 3 m2

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

Solutions:

Given

l = 4m

b = 3 m 50 cm = 3.50 m

Area = l × b = 4 × 3.50

=14 m2

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.

Solutions:

Area of floor = l × b = 5 × 4

= 20 m2

Area of square carpet = 3 × 3

= 9 m2

Area of floor that is not carpeted = 20 – 9

= 11 m2

∴ Area of the floor that is not carpeted is 11 m2

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?

Solutions:

Area of flower square bed = 1 × 1

= 1 m2

Area of 5 square bed = 1 × 5

= 5 m2

Area of land = 5 × 4

= 20 m2

Remaining part of the land = Area of land – Area of 5 square bed

= 20 – 5

= 15 m2

∴ Remaining part of the land is 15 m2

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

NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.3 - 1

Solutions:

(a)

NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.3 - 2

Area of yellow region = 3 × 3

= 9 cm2

Area of orange region = 1× 2

= 2 cm2

Area of grey region = 3 × 3

= 9 cm2

Area of brown region = 2 × 4

= 8 cm2

Total area = 9 + 2 + 9 + 8

= 28 cm2

∴ Total area is 28 cm2

(b)

NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.3 - 3

Area of brown region = 3 × 1

= 3 cm2

Area of orange region = 3 × 1

= 3 cm2

Area of grey region = 3 × 1

= 3 cm2

Total area = 3 + 3 + 3

= 9 cm2

∴ Total area is 9 cm2

 

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

NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.3 - 4

Solutions:

(a)

NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.3 - 5

Total area of the figure = 12 × 2 + 8 × 2

= 40 cm2

(b)

NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.3 - 6

There are 5 squares. Each side is 7 cm

Area of 5 squares = 5 × 72

= 245 cm2

(c)

NCERT Solutions for Class 6 Maths Chapter 10 Exercise 10.3 - 7

Area of grey rectangle = 2 × 1

= 2 cm2

Area of brown rectangle = 2 × 1

= 2 cm2

Area of orange rectangle = 5 × 1

= 5 cm2

Total area = 2 + 2 + 5

= 9 cm2

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

Solutions:

(a) Area of rectangle = 100 × 144

= 14400 cm

Area of one tile = 5 × 12

= 60 cm2

Number of tiles = (Area of rectangle) / (Area of one tile)

= 14400 / 60

= 240

Hence, 240 tiles are needed

(b) Area of rectangle = 70 × 36

= 2520 cm2

Area of one tile = 5 × 12

= 60 cm2

Number of tiles = (Area of rectangle) / (Area of one tile)

= 2520 / 60

= 42

Hence, 42 tiles are needed


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