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

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Jan 7, 2017

Answer:

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%#

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