NCERT Solutions For Class 6 Maths Ex 10.3

NCERT Solutions For Class 6 Maths Ex 10.3 PDF Free Download

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

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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