By what percent does the volume of a cube increase, if the lenght of each edge is increased by 50% ? Question By what percent does the volume of a cube increase, if the lenght of each edge is increased by 50% ? in progress 0 Math Bella 1 month 2021-08-13T04:31:45+00:00 2021-08-13T04:31:45+00:00 2 Answers 0 views 0

## Answers ( )

Answer:Let the edge of cube be l

∴ volume of cube =l

3

If the length of each edge was increased by 50%, then the edge of cube would have been 1.5l

∴ volume of new cube =(1.5l)

3

=3.375l

3

∴ percent increase in volume =

l

3

3.375l

3

−l

3

=2.375×100=237.5%

Answer:Let each edge of the cube be x cm.

Then, volume of the cube =

Length of the edge after increase = 150/100 x cm = 1.5x cm.

Therefore, increased volume

Therefore % increase