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) (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
multiply out
subtract 96
factor by grouping
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
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