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Applied Calculus

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If an open box has a square base and a volume of 112 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)

Height:
Length:
Width:

  • Applied Calculus -

    if side is x,
    height is 112/x^2

    area
    a = x^2 + 4xh
    = x^2 + 4x(112/x^2)
    = x^2 + 28/x

    da/dx = 2x - 28/x^2
    da/dx=0 when x^3 = 14
    and so on

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