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March 24, 2017

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If 6075 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

Volume=??? cubic cm

  • Calculus - ,

    Use the same procedure explained in previous problems of this type, and show your work.

    You have two variables, box base length a and height h. I will assume cutout corner square pieces are not used; other wiseyou will need a lot of tape to make sides from cut corners.
    (a + 2h)^2 = 6075
    The box will be made by folding up the four protruding ends of a fat looking cross, made by cutting square corners off a square that has side length a + 2h.

    Volume = a^2*h

    Express volume V in terms of a or h only and set the derivative with respect to the remaining variable equal to zero.

    Compute the two variables and the volume

  • Calculus - ,

    im stuck

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