SOLUTION: A box is to be made out of a piece of cardboard that measures 22 by 34 inches. Squared. x inches on a side, will be cut from each corner, and then the ends and sides will be folded

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A box is to be made out of a piece of cardboard that measures 22 by 34 inches. Squared. x inches on a side, will be cut from each corner, and then the ends and sides will be folded      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 834971: A box is to be made out of a piece of cardboard that measures 22 by 34 inches. Squared. x inches on a side, will be cut from each corner, and then the ends and sides will be folded up. Find all values of x that will result in a box with a volume of 700 cubic inches.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
The two bottom dimensions are (22-2x) and (34-2x). The height dimension is x.
Volume of this box is x%2822-2x%29%2834-2x%29=700,
4x%2811-x%29%2817-x%29=700
4x%28187-11x-17x%2Bx%5E2%29=700
4x%28187-28x%2Bx%5E2%29=700
x%28x%5E2-28x%2B187%29=175
highlight_green%28x%5E3-28x%5E2%2B187x-175=0%29

Two best choices to solve the equation are either Rational Roots Theorem, or use a graphing calculator to find the zeros. I am not continuing this UNLESS you want that help.