Question

The perimeter of a cube is 60 cm. Its volume will be _________.

• A. $125c{m}^3$
• B. $115c{m}^3$
• C. $100c{m}^3$
• D. $118c{m}^3$

Answer 1

The correct option is A $125c{m}^3$

Number of edges used to find perimeter = 12.

Length of one Edge of cube
$=\frac{\text{perimeter of cube}}{\text{number of edges in cube}}$

$=\frac{60}{12}=5cm$

Let the edge be represented by '$a$'.

$\therefore$ Volume of cube
$=a^3$
$=a\times a\times a$
$=5\times 5\times 5$
$=125c{m}^3$