Question

Find the volume of a cube whose surface area is
(i) 96 $c{m}^2$ (ii) 150 $m^2$

Answer 1

(i) Surface area of a cube = 96 $c{m}^2$
$\therefore$ Edge (a) = $\sqrt{\frac{S.A.}{6}}=\sqrt{\frac{96}{6}}$ cm
= $\sqrt{16}$ = 4 cm
(ii) Surface area of cube = 150 $m^2$
$\therefore$ Edge (a) = $\sqrt{\frac{S.A.}{6}}=\sqrt{\frac{150}{6}}m$
= $\sqrt{25}$ = 5 cm
$\therefore$ Volume = $a^3=(5{)}^3{m}^3=125m^3$