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

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 \(\frac{331000}{1000000} \times 100 \%=\frac{331}{10} \%=33,1\%\)

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