If each side of a cube is doubled, then its volume

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

 

Solution:

(d) becomes 8 times

Suppose that the side of the cube is a.
When it is doubled, it becomes 2a.

New volume of the cube $=(2 a)^{3}=8 a^{3}$

Hence, the volume becomes 8 times the original volume.

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