Question

What is the edge of a cube whose volume is $\frac{1}{125}$cu. m?

• A. $\frac{1}{15}m$
• B. $\frac{1}{5}m$
• C. $\frac{1}{25}m$
• D. $125m$

Answer 1

The correct option is B $\frac{1}{5}m$

Given, Volume of cube $=\frac{1}{125}{m}^3$.

We know, Volume of cube $V=a^3$, where $a$ is the edge of a cube.

Then, ${\text{a}}^3=\frac{1}{125}$

$⟹a^3=(\frac{1}{5}{)}^3$

$⟹a=\frac{1}{5}$.

Therefore, edge of the cube $=\frac{1}{5}$ m.

Hence, option $B$ is correct.