Question

If each side of a cube is doubled then its volume

(a) is doubled

(b) becomes $4$ times

(c) becomes $6$ times

(d) becomes $8$ times

Answer 1

Let the side of cube be $xcm$ then
The volume of the cube $=x^{3}c{m}^3$

Increased length of the edge $=2xcm$ as side length doubled.
Volume of the new cube formed $=(2x{)}^{3}c{m}^3$
$=8x^{3}c{m}^3$
$=8\times$volume of the original cube.
Therefore, If the edge of the cube is doubled then the volume of the cube is increased by $8$ times.

Hence, the correct option is (d)