SOLUTION: The volume of a box is 96 cubic inches. The length is 8 inches more than the height. The width is 2 inches less than the height. Find the dimensions of the box

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Question 586477: The volume of a box is 96 cubic inches. The length is 8 inches more than the height. The width is 2 inches less than the height. Find the dimensions of the box
Answer by nglngl(2) About Me  (Show Source):
You can put this solution on YOUR website!
x=height (the one no information is given about)
height=x length=x+8 width=x-2 volume=96
volume=height * length * width
96=x(x+8)(x-2) substitute in what you know
96=x%5E3%2B6x%5E2-16x multiply out
0=x%5E3%2B6x%5E2-16x-96 subtract 96
0=x%5E2%28x%2B6%29-16%28x%2B6%29 factor by grouping
0=%28x%5E2-16%29%28x%2B6%29 continue factoring
16=x^2 or x=-6 continue factoring
x=+-4 or x=-6 solve
x=4 because it cannot be negative
height=4 length=12 width=2