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Math Help - using derivatives to solve word problms

  1. #1
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    using derivatives to solve word problms

    the question reads:
    A box with a square base and open top must have a volume of 32,000 cm^3 . Find the dimensions of the box that minimize the amount of material used.

    Now I know the general method, I'm just not sure how to set it up. so far I've come up with the equation:
    32,000=y*x (y*x means y times x)

    I've been trying to think up a second equation to find the dimensions but it's just not coming to me. Any thoughts?
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  2. #2
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    Quote Originally Posted by mlckb1 View Post
    the question reads:
    A box with a square base and open top must have a volume of 32,000 cm^3 . Find the dimensions of the box that minimize the amount of material used.

    Now I know the general method, I'm just not sure how to set it up. so far I've come up with the equation:
    32,000=y*x (y*x means y times x)

    I've been trying to think up a second equation to find the dimensions but it's just not coming to me. Any thoughts?
    x^2y = 32000

    surface area , S = x^2 + 4xy

    get S in terms of a single variable and minimize
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