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A manufacturer uses a 28 x 41 metal sheet to construct an open box by cutting out squares from each corner. What length square should be cut to maximize volume?

  • Math - ,

    let each side of the squares cut out be x units
    length of box = 41-2x
    width of box = 28-2x
    height of box = x

    volume = x(41-2x)(28-2x)
    expand and simplify, you will have a cubic
    find the derivative, that will be a quadratic
    set it equal to zero, and solve using the quadratic formula

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