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Math Help - Maximizing volume of a box help

  1. #1
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    Maximizing volume of a box help

    Problem: if 1200cm^2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box
    Heres what I did
    area = 1200cm^2
    total area = area of the 5 sides of the box(5 since it says an open top)
    area of one side = xy
    total area = 1200=5xy
    x=240/y
    volume =xy^2
    v=240y(y^2)
    V=240y
    V'=240....
    which doesn't work because I think to find the maximum, you have to solve where the derivative is 0
    is there another strategy or did I make some basic mistake
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  2. #2
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    The area isn't correct.

    "a box with a square base"

    It should be: 1200 = x^2 + 4xy
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