SOLUTION: you are given one scrapbook page (12 inches by 12 inches). With only this for your material, you must create a container that will maximize volume while minimizing the total area.

Question 449934: you are given one scrapbook page (12 inches by 12 inches). With only this for your material, you must create a container that will maximize volume while minimizing the total area.

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
There are not enough constraints. Do you want the maximum volume with the 144 sq in, or do you want to minimize surface area first before maximizing volume?

In either case, the closed solid with maximum volume and fixed surface area is a sphere.
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