Question

The total surface area of a cube is $216c{m}^2$216cm2. Find its volume in cm${}^3$.

Answer 1

Given, lateral surface area of a cube $=216$ cm${}^2$.

We know, total surface area of cube $=6($a${)}^2$ where $a$ is the length of its side.

$\therefore 6($a${)}^2=216$

$⟹($a${)}^2=\frac{216}{6}$

$⟹($a${)}^2=36$

$⟹$ a $=6$.

Also, volume of cube $=($ a${)}^3$.

$\therefore$ Volume of cube $=(6{)}^3=216$ cm${}^3$.