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Math Help - Maximum volume of a box.

  1. #1
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    Maximum volume of a box.

    Find the max volume of a box with a square base if you have 1200 sq. ft. of material for sides and a bottom (assuming open top).

    I'm screwing up somewhere but I can't figure out where. V= x^2*y and then your y= (1200-x^2)/4y

    I get x= 60 ft but that is off. Can you give me a hand?
    Last edited by mr fantastic; May 19th 2011 at 05:49 AM. Reason: Moved from another thread.
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  2. #2
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    Quote Originally Posted by MrJoe2000 View Post
    Along the same lines...

    Find the max volume of a box with a square base if you have 1200 sq. ft. of material for sides and a bottom (assuming open top).

    I'm screwing up somewhere but I can't figure out where. V= x^2*y and then your y= (1200-x^2)/4y
    ??? What? you can't replace y with something that depends on y! y= \frac{\sqrt{1200- x^2}}{2}

    I get x= 60 ft but that is off. Can you give me a hand?
    Last edited by mr fantastic; May 19th 2011 at 05:50 AM. Reason: Added [/tex] tag.
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  3. #3
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    My apologies, the equation for y turned out to be y= (1200-x^2)/4x

    I'm still not sure where I'm screwing up here.
    Last edited by mr fantastic; May 19th 2011 at 05:46 AM. Reason: Merged posts.
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