SOLUTION: If the lengths of the sides of a cube are tripled,by what factor will the volume change? Help me solve this please.

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Question 840037: If the lengths of the sides of a cube are tripled,by what factor will the volume change? Help me solve this please.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
A cube is 3-dimensional, so the volume increases by a factor of 3^3 = 27.

If you're not convinced, let s be the side length of the cube; then the volume is s^3. The volume of a cube with side length 3s is (3s)^3 = 27s^3.