Find the volume of a cube whose surface area is

(i) Surface area of the given cube $=96 \mathrm{~cm}^{2}$

Surface area of a cube $=6 \times(\text { side })^{2}$

$\Rightarrow 6 \times(\text { side })^{2}=96$

$\Rightarrow(\text { side })^{2}=\frac{96}{6}=16$

i.e., side of the cube $=\sqrt{16}=4 \mathrm{~cm}$

$\therefore$ Volume of the cube $=(\text { side })^{3}=(4)^{3}=64 \mathrm{~cm}^{3}$

(ii) Surface area of the given cube $=150 \mathrm{~m}^{2}$

Surface area of a cube $=6 \times(\text { side })^{2}$

$\Rightarrow 6 \times(\text { side })^{2}=150$

$\Rightarrow(\text { side })^{2}=\frac{150}{6}=25$

i.e., side of the cube $=\sqrt{25}=5 \mathrm{~m}$

$\therefore$ Volume of the cube $=(\text { side })^{3}=(5)^{3}=125 \mathrm{~m}^{3}$