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An Open Box Of Maximum Volume Is To Be Made From A Square Piece Of Cardboard Twentyfour Inches On Each Side By Cutting Equal Suares Frm The Corners And Turning Up The Sides

  • calculus - ,

    as Reiny posted elsewhere,

    let each side of the equal squares be x inches
    length of box = 24-2x
    width of box = 24-2x
    height of box = x

    a) Volume = x(24-2x)(24-2x)

    now just find where dv/dx = 0, and you're done.

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