Question

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

Answer 1

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%`