Determine the dimensions of the rectangular prism with the largest prism with the largest possible volume that can be constructed using 2400 square inches of surface area.
What is the maximum volume of the prism?
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If we are assuming a fully rectangular prism---right angles all around---then there actually are only two candidates: (h,w,l)=(20,5,2) and (h,w,l)=(12,9,2). The former has a volume of 200, the latter has a volume of 216. So (12,9,2
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