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Example 1: The area of the surface of the cube is 25 square metres. Find the volume of
the cube.
Solution:
The area = 25 square metre
Side of the cube = 5 metre
Volume = S X S X S
= 5m X 5m X 5m
= 125 cu. m.

Word Problems on Volume:

Example 1: A wall has to be built with length 8 m, thickness 3 m and height 5 m. Find the

volume of the wall in cubic cm.
Solution:

Length of the wall = 8 m or 800 cm
Thickness of the wall = 3 m or 300 cm

Height of the wall = 5 m or 500 cm
Therefore, volume of the wall = length × breadth × height

= (800 × 300 × 500) cm³

= 120000000 cm³

Example 2: Length, breadth and height of a room are 6 m 5 m and 3 m respectively. Find

the amount of air it contains.
Solution:

Length of the room = 6 m
Breadth of the room = 5 m

Height of the room = 3 m
Volume of the room = length × breadth × height

= 6 × 5 × 3 m³

= 90 m³
Therefore, the room contains 90 m³ of air.

Example 3: Find the number of cubical boxes of cubical side 5 cm, which can be

accommodated in carton of dimensions 25 cm x 10 cm x 15 cm.
Solution:

Volume of cubical box = side x side x side
= 5 x 5 x 5

= 125 cu cm