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Worksheet on Area, Perimeter and Volume

In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the area of a square, find the area of a triangle, find the volume of a cuboid, find the volume of a cube and word problems on area, perimeter and volume.

1. Find the perimeter of the following rectangles.

(i) Length = 4.20 m; Breadth 200 cm

(ii) Length 2.25 m; Breadth 125 cm

2. Find the perimeter of squares having the following sides.

(i) 18.5 cm

(ii) 16 cm

(iii) 24 cm

(iv) 4 cm

(v) 9 m

(vi) 12 cm

3. Find the area of a square having the following sides.

(i) 6.5 cm

(ii) 9.5 cm

(iii) 7 cm

(iv) 2.5 m

(v) 6 m

(vi) 11 m

4. Find the area of the following rectangle.

(i) Length = 9.5 cm, Breadth 7 cm

(ii) Length 13 cm, Breadth 11 cm

(iii) Length 4 m, Breadth 2 m

5. Find the area of the following triangles.

1. Length 6 cm, Breadth 5 cm

2. Length = 4 cm, Breadth 4.5 cm

3. Length 8 cm, Breadth 9 cm

6. Find the volume of the cubes having the following sides.

(i) 7.5 m

(ii) 25 cm

(iii) 12 cm

(iv) 5 m

(v) 12.5 cm

(vi) 4.5 m

7. Find the volume of the cuboids having the following dimensions.

(i) Length = 0.2 m, Breadth = 18 cm, Height = 15 cm

(ii) Length = 0.19 m, Breadth = 13.5 cm, Height = 9.5 cm

8. Observe the following figures and complete the table.

$Volume of a Cuboids$

$Cuboid Volume Table Worksheet$

9. Solve the following Word Problems on Area, Perimeter and Volume:

(i) Find the cost of tiling a rectangular park of length 800 m and breadth 450 m at the rate of Rs 2.50 per m².

(ii) Find the area of four walls of a seminar hall having length 18 m, breadth 15 m and height 12 m.

(iii) A cuboidal petrol tank is 3 m long, 2 m broad and 2 m deep. How many litres of petrol can the tank hold? (1 litre = 1000 cm³)

(iv) A wooden plank is 2.4 m long and 1.5 m broad. What is its thickness if its volume is 18 m³?

(v) A classroom is 12 m long, 4 m broad and 7 m high. What is the volume of the classroom?

(vi) The volume of a solid metal box having length 19 cm and height 8 cm is 1824 cm³. Calculate its breadth.

(vii) A boundary wall of 18 m length, 4 m height and ½ m thickness is to be built from bricks of volume 1200 cm³ each. How many bricks are required to build the boundary wall?

(viii) The length and thickness of a book are 25 cm and 4 cm respectively. Find the breadth of the book if the volume of the book is 1500 cm³.

(ix) A rectangle gift box is 15 cm long and 10 cm broad while a square gift box has side of 20 cm. Which of the two has more area and by how much?

(x) The length of a field is 350 m and the breadth is 65 m. Another field has each side of 150 m. Which field has more area and by how much?

(xi) The area of a rectangular park is 988 m². If its length is 38 m, find the breadth.

Worksheet on Area, Perimeter and Volume Answer:

1. (i) 12.4 m

(ii) 7 m

2. (i) 1.74 cm

(ii) 64 cm

(iii) 96 cm

(iv) 16 cm

(v) 36 m

(vi) 48 cm

3. (i) 42.25 cm

(ii) 90.25 cm

(iii) 49 cm

(iv) 6.25 m

(v) 36 m

(vi) 121 m

4. (i) 66.5 cm²

(ii) 143 cm²

(iii) 8 m²

5. (i) 15 cm²

(ii) 9 cm²

(iii) 36 cm²

6. (i) 421.8 m³

(ii) 15625 cm³

(iii) 1728 cm³

(iv) 125 m³

(v) 1953.1 cm³

(vi) 91.1 m³

7. (i) 5400 cm³

(ii) 2436.75 cm³

	Length	Breadth	Height	Volume
(i)	5 cm	3 cm	1.5 cm	22.5 cm³
(ii)	5.5 cm	1 cm	2 cm	11 cm³
(iii)	2 cm	5 cm	2 cm	20 cm³
(iv)	6 cm	1.5 cm	2.5 cm	22.5 cm³
(v)	3.5 cm	1.5 cm	2 cm	10.5 cm³