Question:
Find the volume of a cube whose total surface area is 384 cm2.
Solution:
Total surface area $=6 a^{2}$
$\Rightarrow 6 a^{2}=384$
$\Rightarrow a=\sqrt{\frac{384}{6}}=8 \mathrm{~cm}$
$\therefore$ Volume $=a^{3}=512 \mathrm{~cm}^{3}$