Question

A cube has a total surface area of 384 sq. cm. Find its volume.

Answer 1

Let a be the side of the cube. Given that T.S.A = 384 sq. cm.
i.e., $6a^2=384\Rightarrow a^2=\frac{384}{6}=64$
$\therefore a=\sqrt{64}=8cm$
Hence, Volume $=a^3=8^3=512c{m}^3$