Question

If each edge of a cube, of volume $V,$ is doubled, then the volume of the new cube is

• A. 2V
• B. 3V
• C. 5V
• D. 8V

Answer 1

The correct option is D

8V

Let ${}^{\prime }{a}^{\prime }$ be the edge of cube.
Volume, $V$ of cube $=a^3$
Edge of new cube $=2a$
Volume of the new cube $=(2a{)}^3=8a^3$
$=8V$