Question

If the length of the diagonal of a cube is $6\sqrt{3}$ cm, then its volume is _________.

Answer 1

Let the side of the cube be a cm.

We know

Length of the diagonal of cube = $\sqrt{3}\times \mathrm{Side}$

$\therefore \sqrt{3}a=6\sqrt{3}\mathrm{cm}$ (Given)

⇒ a = 6 cm

∴ Volume of the cube = a³ = (6 cm)³ = 216 cm³

Thus, the volume of the cube is 216 cm³.

If the length of the diagonal of a cube is $6\sqrt{3}$ cm, then its volume is ___216 cm³___.