Question

If each face of a cube has perimeter of 20 cm then the volume of cube is

• A. 125 $c{m}^3$
• B. 5 $c{m}^3$
• C. 25 $c{m}^3$

Answer 1

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

In a cube of side $a$ cm the perimeter of a face will be 4$a$ cm.
Here, given that perimeter of a face of cube is 20 cm.
$\Rightarrow$ 4a = 20
$\Rightarrow$ a = $\frac{20}{4}$
= 5 cm
$\therefore$ side of the cube = 5 cm
Volume of cube of side $a$ cm is $a^3$
$\therefore$ volume of the given cube = $5^3$
= 125 ${\text{cm}}^3$