Question

What will happen to the volume of a cube if the length of its edge is reduced to half? Is the volume get reduced? If yes, how much?

• A. Volume will become $\frac{1}{8}$
• B. Volume will become $\frac{1}{4}$
• C. Volume will become $\frac{1}{2}$
• D. None of these

Answer 1

The correct option is A Volume will become $\frac{1}{8}$

Let $x$ be the length of the cube

Volume of cube $={\left(side\right)}^3=x^3$

If the length of its edge is reduced to half, then length would be $=\frac{x}{2}$

Now, Volume of cube $={\left(\frac{x}{2}\right)}^3=\frac{x^3}{8}$

The volume gets reduced by $\frac{1}{8}{m}^3$