Question

If the side of a cube is reduced to half, then its volume is _____.

• A. reduced by 8 times
• B. reduced by 6 times
• C. reduced by 4 times
• D. reduced by 12 times

Answer 1

The correct option is A reduced by 8 times

Let the side of cube = $a$
Volume of cube = side${}^3$
= $a^3$
Now, the side is reduced to half
So, new length of side = $\frac{a}{2}$
Volume after reducing side = $(\frac{a}{2}{)}^3$
= $\frac{a^3}{8}$
= $\frac{1}{8}\times a^3$
So, volume of cube is reduced by 8 times.