Page 68 - Concepts of Reasoning-8

Worksheet-13.5

Volume

1. Choose the odd one out and justify your answer :
a. The volume of a cube is:
3
2
i. l ii. l iii. l iv. l 4
b. The volume of a cuboid is:
2
3
i. 2 (lb + bh + lh) ii. lbh iii. l iv. pr h
c. The volume of a cylinder is:
2
i. 2pr ii. 2prh iii. 2pr (h + r) iv. pr h
d. 1 kilolitre = __________
3
3
3
i. 1 m ii. 1 dm iii. 1 cm iv. 100 litres
e. Find in litres, the volume of a storage tank whose dimensions are 50 cm, 50 cm and 40 cm.
i. 1 litres ii. 10 litres iii. 100 litres iv. 1000 litres

2. Answer the following word problems :
a. Find the volume of a cube whose side is 2.5 cm.
___________________________________________________________________________
3
b. If the length, breadth and volume of a cuboid is 250 cm, 150 cm and 9 m respectively, then find
its height.
___________________________________________________________________________
c. If the dimensions of a cuboid are 30 cm, 18 cm and 24 cm, then how many cubes of edge 6 cm

can be cut out from it?
___________________________________________________________________________
d. Find the volume of a cylinder whose diameter is 5 m 60 cm and radius is 5 m.
___________________________________________________________________________

3. Complete the following table. One has been done for you :

Length Breadth Depth Volume in litres Volume in cubic meters

7.2 4.3 1.6 49,536 49.536

a. 6m 5m 4.5m
b. 35 cm 10 cm 15 cm

c. 42 cm 39 cm 25 cm
d. 13m 50 cm 32 m 60 cm 21 m 30 cm

e. 26 m 30 cm 30 m 60 cm 42 m 40 cm

68 Reasoning - 8