The length of each edge of a cube is increased by 10%. By what percent is the volume increased?

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Answer 1 · 2017-01-07T05:12:37

Percentage increase in volume will be $33.1%$

Let the each edge of cube be $100$ units.

Then its volume is $100^3=1000000$ cubic units.

If each edge increases by $10%$ it becomes $110$ units

and volume becomes $110^3=1331000$ cubic units

Therefore increase in volume is $1331000-1000000=331000$ cubic units

and percentage increase in volume is $331000/1000000xx100%$

= $331/10%$

= $33.1%$