Question

Volume of cube whose length is $\frac{1}{4}cm$, is:

• A. $\frac{1}{16}c{m}^3$
• B. $\frac{1}{32}c{m}^3$
• C. $\frac{1}{64}c{m}^3$
• D. $\frac{1}{28}c{m}^3$

Answer 1

The correct option is C $\frac{1}{64}c{m}^3$

Given that,

Edge length of cube, $a=\frac{1}{4}cm$.
To find out,

The volume of the cube.

We know that, volume of a cube $V=a^3$

$\therefore$ Volume of given cube $={\left(\frac{1}{4}\right)}^3$

$=\frac{1}{64}c{m}^3$.

Hence, the volume of the given cube is $\frac{1}{64}c{m}^3$