Question

The surface area of a cube in numerically equal to it's volume. What is it's volume??

Answer 1

Answer: Volume of the Cube = 216 cubic units.

Explanation: Let each side of the cube be a cm.

Volume of a cube = $a^{3}$

Surface area of the cube = $6a^{2}$

Equating them, we get 6$a^{2}$ = $a^{3}$

or 6 = a (cancelling $a^{2}$ from both sides).

Therefore, volume of the cube = 6 x 6 x 6 = 216 cubic units.