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If the edge of a cube is doubled,then th...

If the edge of a cube is doubled,then the volume of the cube is ___ that of the initial cube.

A

4 times

B

8 times

C

12 times

D

6 times

Text Solution

Verified by Experts

The correct Answer is:
B
Let the edge of the cube be a .
Volume of the cube `=a^3`
If edge of the cube is doubled,than new edge `=2a`.
New volume `=(2a)^3=8a^3`
`therefore` Volume of the cube is 8 times that of the initial cube.
Hence, the correct option is (b).
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