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Posted by on Friday, April 25, 2014 at 9:51am.

Suppose that a box has a base with a width of x, a length of x+3, and a height of 1 inch. It is cut from a square sheet of material with an area of 130 in2. Find the dimensions of the box.

  • algebra - , Friday, April 25, 2014 at 1:04pm

    Assuming the box is closed, it has 6 faces, so

    2x(x+3) + 2x(1) + 2(x+3)(1) = 130
    x^2+5x+3 = 65
    x = 5.76
    Hmmm. If the box is open, with no top, then
    x(x+3) + 2x(1) + 2(x+3)(1) = 130
    x^2+7x+6 = 130
    x = 8.17

    I guess x is not an integer.

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