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calculus

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A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. The box is to hold 16128 in3. How big a piece of cardboard is needed?

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  • calculus - ,

    base area = (w-14)(w-14)
    h = 7
    volume = 7 (w-14)^2 = 16128

    w^2-28w+196 = 2304

    w^2 - 28 w - 2108 = 0

    (w-62)(w+34) = 0

    w = 62

  • calculus - ,

    side of base = x-14
    height = 7

    solve
    7(x-14)^2 = 16128
    (x-14)^2 = 2304

    I will let you finish it.

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