Question

A cuboid is 30 cm long , 25 cm broad, and 5 cm high . How much of its volume will differ from that of a cube of edge 16 cm?

• A. 346 cm${}^3$ less than the volume of cube.
• B. 246 cm${}^3$ more than the volume of cube.
• C. 246 cm${}^3$ less than the volume of cube.
• D. 346 cm${}^3$ more than the volume of cube.

Answer 1

The correct option is A 346 cm${}^3$ less than the volume of cube.

Given
Length of cuboid ($l$) = 30 cm
Breadth of cuboid ($b$) = 25 cm
Height of cuboid ($h$) = 5 cm
Volume of a cuboid = $l\times b\times h$
$\therefore$ Volume of the cuboid = $30\times 25\times 5$
= 3,750 cm${}^3$
Side of the cube = 16 cm (given)
Volume of a cube = side${}^3$
$\therefore$ Volume of the cube = ${16}^3$
= 4,096 cm${}^3$
Difference in volume = Volume of cube - Volume of cuboid
= (4,096 -3750) cm${}^3$
= 346 cm${}^3$
Volume of cuboid is 346 cm${}^3$ less than the volume of cube.