If each side of a cube is reduced by 20%, the volume of the cube will be reduced by?40%48.8%60%20%
Question
If each side of a cube is reduced by 20%, the volume of the cube will be reduced by?
- 40%
- 48.8%
- 60%
- 20%
Solution
The volume of a cube is given by the formula V = s^3, where s is the length of a side.
If each side of the cube is reduced by 20%, the new side length is 0.8s.
The new volume V' is then (0.8s)^3 = 0.512s^3.
The reduction in volume is then V - V' = s^3 - 0.512s^3 = 0.488s^3.
As a percentage, this is a reduction of 48.8%.
So, the volume of the cube will be reduced by 48.8%.
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