SOLUTION: Quadratic Functions: Construction: A box is being constructed by cutting 2-inch squares from the corners of the square sheet of metal. If the box is to have a volume of 1058 cubic

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Question 576346: Quadratic Functions: Construction: A box is being constructed by cutting 2-inch squares from the corners of the square sheet of metal. If the box is to have a volume of 1058 cubic inches, find the dimensions of the metal sheet.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Let's say that the sides of the original square sheet of metal measured x inches.
As you cut those 2 inch by 2 inch squares from the corners, you are left with a center square surrounded by rectangular flaps 2 inches wide, that will fold up to make the sides of the box.
The middle part that will be the bottom of the box is a square with sides measuring (x-4) inches.
The volume of the box is the surface area of the green base%28%28x-4%29%5E2%29 times the height %282%29,
so 2%2A%28x-4%29%5E2=1058 --> %28x-4%29%5E2=1058%2F2=529 --> x-4=sqrt%28529%29=23,
and if x-4=23 --> x=23%2B4, so highlight%28x=27%29