Question

If the edges of cube are halved, then its volume becomes:

• A. $4$ times
• B. $8$ times
• C. $\frac{1}{8}$ times
• D. $\frac{1}{2}$ times

Answer 1

The correct option is C $\frac{1}{8}$ times

Let the edge of the cube $=x$ units.

Then, Volume of the cube $=x^3$ cubic units.

According to the statement, the edge is halved.

Then, New edge of the cube $=\frac{x}{2}$ units.

$\therefore$ New volume of cube $={\left(\frac{x}{2}\right)}^3=\frac{x^3}{8}$ cubic units.

Then, on comparing the volumes, we get.

the new volume is $\frac{1}{8}$ times the original volume.

Hence, option $C$ is correct.