SOLUTION: The question: An open top box is to be made by cutting a square from each corner of an 11" x 14" sheet of metal and folding up the tabs. The box is to have a volume of 80 cu in

Question 12558: The question:
An open top box is to be made by cutting a square from each corner of an 11" x 14" sheet of metal and folding up the tabs. The box is to have a volume of 80 cu inches. Apporoximate to the nearest tenth of an inch the size of the square that must be cut out.
I see it as: (14x-2x)(11-2x)(x)=80 cu in. Which results in 4x^3-50x^2+154x=80
I don't understand how to complete this? I am not sure how to deal with the x^3. Can you help?
Answer by AdolphousC(70) (Show Source): You can put this solution on YOUR website!
Factor out an x and you get

Factor you new quadratic, and you will have three solutions, one of them being x = 0, this one is a trivial case, since you wouldn't cut nothing from the piece of paper in order to make your box.
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