Question

A man makes a cuboid of plastic of dimension 5cm, 2cm, 5cm. Find the volume to be added to the original cuboid to form a perfect cube? [2 MARKS]

Answer 1

Concept: 1 Mark
Application: 1 Mark

The volume of the cuboid $=5\times 5\times 2$
The volume of the cube would be $=5\times 5\times 5$

To make it a perfect cube, minimum we need is three 5’s. So we need to add volume so that all sides have dimension 5 cm.

Volume to be added = Volume of desired cube - Volume of present cuboid
$=(5\times 5\times 5)-(5\times 5\times 2)$
$=125-50=75$

Therefore, the volume to be added to the original cuboid to form a perfect cube is 75 cubic cms.