I was doing some math problems involving surface area and maximum dimensions and then I wondered:(adsbygoogle = window.adsbygoogle || []).push({});

Suppose you are given the surface area of a rectangular box but none of its dimensions. Is it possible to find the best dimensions (x,y,z) that would give the maximum volume of the box? I was thinking of something along the lines of making a graph and finding its maximum value ... Ex. 400cm² = 2xy + 2xz + 2yz. Possible? Unless there are other ways of doing it...

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# Best dimensions for maximum surface area

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