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Question

If each edge of a cube, of volume V, is doubled, then the volume of the new cube is
  1. 2V
  2. 4V
  3. 6V
  4. 8V


Solution

The correct option is D 8V
Let 'a' be the edge of cube.
Volume (V) of cube = a3
Edge of new cube = 2a
Volume of the new cube =(2a)3=8a3=8(V)
Volume of new cube is 8 times the volume of the cube.

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