Posted by **amanda** 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 -
**Steve**, 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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