# Each edge of a cube is increased by 50%. How do you find the percentage of increase in the surface area of the cube?

##### 1 Answer

Remember that the formula for the surface area of a cube is

This is because we find the area of one side

So, if we increase the edge length of a cube, instead of s, we are going to have

We just plug this in for the surface area formula

We want to calculate the percentage of increase, so we put this new surface area over the original surface area.

We simplify this, and we get

This is in decimal format, we move over the decimal to get

We can choose a random side length to check our answer:

I chose

We multiply 384 by 2.25 and we get 864.