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

Jan 7, 2017

Percentage increase in volume will be 33.1%

#### Explanation:

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%