You have 500 cm² of material available to cover different shapes. what is the maximum volume of each object that you could make with this amount of material?
A.) a cube
B.) a sphere

I've been stuck on this for so long, please show me how to do this step by step, thanks :)

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1. cube of side s:
area = 6s^2
volume = s^3

area = 4 pi r^2
volume = 4/3 pi r^3

So, solve for s or r given that the area is 500, then plug that value into the volume formula.

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posted by Steve

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