Each edge of a cube is increased by 50%. How do you find the percentage of increase in the surface area of the cube?
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:
We multiply 384 by 2.25 and we get 864.