SOLUTION: Find the approximated change in the volume of a rectangular solid caused by increasing each side by 5%. 15

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Question 1209013: Find the approximated change in the volume of a
rectangular solid caused by increasing each side by
5%.
15

Answer by timofer(104) About Me  (Show Source):
You can put this solution on YOUR website!
xyz=v

The increase each dimension by 5%
%281.05%29x%2A%281.05%29y%2A%281.05%29z
%281.05%29%5E3%2Axyz
1.05%5E3%2Av
1.157625v
An increase of the volume by 15.7625%

"Approximately", about 15 or 16%.