Math

posted by John

Please help I have no Idea what to do here.

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 420 in^3 when a = 3?

  1. Reiny

    You are cutting out 3-inch squares at the four corners.
    Make a diagram.

    width of base ---- x inches
    length of base --- 2x inches, (you said so)
    height of box ---- 3 inches

    (x-6)(2x-6)(3) = 420
    (x-6)(2x-6) = 140
    x^2 - 18x + 36 = 140
    2x^2 - 18x - 104 = 0

    x = (18 ± √1156)/4
    = (18 ± 34)/4
    = 13 inches or a negative

    so the sheet must have been 13 inches by 26 inches

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