Question

If the length of diagonal of a cube is $4\sqrt{3}$, then find the volume of the cube.

Answer 1

If the length of the side of a cube is $a$ then its diagonal is of length $a\sqrt{3}$.

According to the problem, $a\sqrt{3}=4\sqrt{3}$ or $a=4$.

Volume of the cube is $4^3=64$ cubic units.