Question

Question 111 (ii)

What will happen to the volume of the cube, if its edge is reduced to one-fourth?

Answer 1

Let each side of the cube be a, then its volume $=a^3$ [$\because$ volume of a cube $=(side{)}^3$]
If side reduced to one fourth $=a\times \frac{1}{4}=\frac{a}{4}$
Now, its volume $={\left(\frac{a}{4}\right)}^3=\frac{a^3}{64}$
Hence, new volume $\frac{1}{64}$ times of original volume.