Solution
Let each side of the cube be $a \mathrm{~cm}$.
Then, the total surface area of the cube $=\left(6 a^{2}\right) \mathrm{cm}^{2}$.
$\therefore \quad 6 a^{2}=216 \Rightarrow a^{2}=36 \Rightarrow a=\sqrt{36}=6$.
Volume of the cube $=a^{3} \mathrm{~cm}^{3}$
= (6×6×6) cm3 = 216 cm³.