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Question

Length of each side of a cube is increased by 25%. Then the percentage increase in volume will be ___.

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Solution

Let length of each side of cube be 'a'

Then, volume = a3

New length = a + 25% of a

=a+25×a100=5a4

New volume=(5a4)3=12564a3Increase in volume

=12564a3a3

=(12564)a364

=6164a3

% Increase in volume=(Increase in volumeInitial volume×100%)

=6164a3a3×100%

=6164×100%=95.31%


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