Question 1121564
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The volume of a rectangular prism with given surface area is maximal when the prism is a cube.



For the proof of this statement see this site


<A HREF=https://www.math.dartmouth.edu//archive/m8f02/public_html/pauls_mws/boxeg.pdf>https://www.math.dartmouth.edu//archive/m8f02/public_html/pauls_mws/boxeg.pdf</A>


https://www.math.dartmouth.edu//archive/m8f02/public_html/pauls_mws/boxeg.pdf