Question

The perimeter of one face of a cube is 20 cm. Its volume will be _________.

• A. $125c{m}^3$
• B. $400c{m}^3$
• C. $250c{m}^3$
• D. $625c{m}^3$

Answer 1

The correct option is A

$125c{m}^3$

Number of edges used to find perimeter = 4.

One Edge of cube
$=\frac{\text{perimeter of 1 face}}{\text{number of edges in one face}}$

$=\frac{20}{4}=5cm$

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

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