Question 185394: by how many times do the volume and surface area of a cube increase if its edges get doubled??
Answer by vleith(2983)   (Show Source):
You can put this solution on YOUR website! Area is measured in square units, volume in cubic units. For instance, flooring is measured in square feet. Car trunk capacity is can be measured in cubic inches.
So, let's assume you have a side in an original square and cube that is 1 foot.
The original area is 1*1 = 1 square foot
The volume is 1*1*1 = 1 cubic foot
If the side is doubled to 2 feet, then the
new area = 2 *2 = 4 square feet. Or 4 times greater
New volume is 2*2*2 = 8 cubic feet. Or 8 times greater
No matter what length you use as your starting point, the ratio is always
4X for area and 8x for volume
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