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Math Help - Maximum Volume...

  1. #1
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    Maximum Volume...

    Maximum Volume...-capture.jpg
    So I know that the width would be (80- x), the height would be (x) and the length would be (60-x)
    So what are the constraints? on the L, W and H...? I don't know how to find them... And the dimensions...?
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  2. #2
    MHF Contributor
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    Re: Maximum Volume...

    look at the total length and width of your unfolded tank as shown in the picture.
    compare that the the size of the sheet of material you have.
    That gets you 2 constraint equations.

    You use 2 Lagrange multipliers and solve the system of 5 equations.

    P = vol - a*length_constraint - b*width_constraint

    solve

    dP/dh=0, dP/dl=0, dP/dw=0, dP/da=0, dP/db=0
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