Page 169 - Maths Class 05

3. Find the volume of each of the following.

a. l = 15 cm b. l = 12 mm c. l = 9 m
b = 10 cm b = 15 mm b = 3 m

h = 11 cm h = 13 mm h = 14 m

V = ________ cu cm V = ________ cu mm V = ________ cu m
4. Fill in the missing entry in each of the following.

S. No. Length Breadth Height Volume

a. 8 m 10 m ___________ 560 m 3

b. 15 m ___________ 12 m 360 m 3

c. 9 cm 9 cm 9 cm ___________

d. 10 m 10 m ___________ 500 m 3

Word Problems

Example : A water tank is 3.1 m long, 3.1 m wide and 3.1 cm high. How many cubic

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centimetres of water will it hold ? (1000 cm = 1 litres )
Solution : Length of the tank = 3.1 m = (3.1 × 100) cm = 310 cm

Breadth of the tank = 3.1 m = (3.1 × 100) cm = 310 cm

Height of the tank = 3.1 m = (3.1 × 100) cm = 310 cm

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Volume of water tank = 310 × 310 × 310 = 29791000 cm
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\ 1000 cm = 1 litres
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\ 29791000 cm = (29791000 ÷ 1000) = 29791 litres.
Hence, tank can hold 29791 litres of water.

Example : Find the volume of the given figure.
2 cm
Solution : For the given cuboid we have,
length of cuboid = 5 cm

breadth of cuboid = 4 cm 4 cm

height of cuboid = 2 cm
5 cm
The given cuboid consists of 40 cubes of 1 cm.
So, volume of the cuboid = 40 cu cm.

[Reason : Layer 1 = 5 × 4 = 20 cubes. Also, layer 1 = layer 2]

As both layers consist of equal number of cubes so volume of cuboid = 20 cubes × 2

= 40 cubes = 40 cu. cm.

Mathematics-5 169