Question

The volume of a cube in m${}^3$ is equal to the surface area of the cube in m${}^2$. The volume of the cube is :

• A. 64 m${}^3$
• B. 216 m${}^3$
• C. 512 m${}^3$
• D. 196 m${}^3$

Answer 1

Answer: (B)

216 m${}^3$

Let the side of the cube be $a$.

Volume of the cube $V=a^3$

Surface area of the cube $S=6a^2$

Given : $V=S$

Or $a^3=6a^2$

$⟹a=6m$

Thus volume of the cube $V=a^3=6^3{m}^3=216m^3$