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

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Solution

The correct option is C 8V
Let $^{'} a^{'}$ be the edge of given cube.
Then, volume $V = a^{3}$
Edge of the new cube $= 2 a$
So, volume of the new cube $= (2 a)^{3} = 8 a^{3} = 8 V$

Therefore, the volume of the new cube will become $8 V$ .

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