SOLUTION: each side of a cube is increased by 1% by what percent is the volume of the cube increased?

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Question 1098008: each side of a cube is increased by 1% by what percent is the volume of the cube increased?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If you make the initial cube edge length L , the original cube volume is L%5E3 .
Increasing the side length by %221%25%22 , the new side length would be 1.01L ,
and the new volume would be
%281.01L%29%5E3=1.01%5E3L%5E3=1.030301L%5E3=%22103.0301%25%22%2AL .
That would mean a volume increase of highlight%28%223.0301%25%22%29 .