Q9 of 24 Page 164

Each edge of a cube is increased by 20%. What is the percentage increase in the volume of the cube?

Let the length of a side of a cube be x.


We know, Volume of a cube = (side)3


∴ Volume of a cube = x3


Each edge of a cube is increased by 20%.


∴ New Side= x + 20% of x





= 1.2x


∴ New Volume of cube = (1.2x)3


= 1.728 x3


Percentage increase in the volume =




=0.728×100


=72.8%


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