Length of each side of a cube is increased by 25%. Then the percentage increase in volume will be
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
=12564a3−a3
=(125−64)a364
=6164a3
% Increase in volume=(Increase in volumeInitial volume×100%)
=6164a3a3×100%
=6164×100%=95.31%