Math

posted by Isaiah

A box with an open top is to be constructed by cutting a-inch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a box having a volume of 32 in^3, when a = 2?
width in
length in

  1. Steve

    If the original
    width is x
    length is 2x

    With a=2, our new box has volume

    (a)(x-2a)(2x-2a) = 32
    2(x-4)(2x-4) = 32
    2(x-4)(2x-4) - 32 = 0
    4x(x-6) = 0
    x = 6

    So a sheet 6x12 will be cut to a box
    2x2x8 with volume = 32

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