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If each side of a cube becomes three times of itself, then its volume __________ of its original volume.
Question

If each side of a cube becomes three times of itself, then its volume __________ of its original volume.

A.

Becomes 3 times

B.

Becomes 9 times

C.

Becomes 27 times

D.

Becomes 2 times

Correct option is C

Formula Used:

Volume of a cube = side³

Solution:

Let the original side length of the cube be s.
Original Volume = s³
New side length = 3s
New Volume = (3s)³
New Volume = 3³ × s³
New Volume = 27s³

The volume becomes 27 times of its original volume.

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