SOLUTION: an open box with a volume of 128cm^3 can be made by cutting a square of the same size from each corner of a square piece of metal 12cm on a side and folding up the edges. What is t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: an open box with a volume of 128cm^3 can be made by cutting a square of the same size from each corner of a square piece of metal 12cm on a side and folding up the edges. What is t      Log On


   

Question 1186812: an open box with a volume of 128cm^3 can be made by cutting a square of the same size from each corner of a square piece of metal 12cm on a side and folding up the edges. What is the length of a side of the square that is cut from each corner?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, the edge length of the square corners to remove

x%2812-2x%29%2812-2x%29=128
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x%286-x%29%286-x%29=32
Using some multiplication product and factor facts, x=2 seems to work.
2%286-2%29%286-2%29
2%2A4%2A4
2%2A16
32------------the same as right-hand side of this simpler equation.

2 inches, the edge length of the squares to cut out from the corners of the piece of metal.