Question

What is the volume of a cube whose surface area is 150 $m^2$?

• A. $25m^3$
• B. $100m^3$
• C. $125m^3$
• D. $1000m^3$

Answer 1

Answer: (C)

$125m^3$

Given, Surface area of cube $=150m^2$.

We know, surface area of cube $6l^2$, where $l$ is the side of the cube.

$\therefore$$150=6l^2$

$⟹$ $l^2=\frac{150}{6}$

$⟹$ $l^2=25$

$⟹$ $l=5$ m.

Volume of cube $V=l^3$ $=5^3=125$.

$\therefore$ Volume of cube$=125m^3$.

Hence, option $C$ is correct.