SOLUTION: The height of a box is 4 inches greater than its width, the length is 1 inch less than the width. If the box has a volume of 12 cubic inches, what are the dimensions of the box?

Question 718437: The height of a box is 4 inches greater than its width, the length is 1 inch less than the width. If the box has a volume of 12 cubic inches, what are the dimensions of the box?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The height of a box is 4 inches greater than its width, the length is 1 inch less than the width. If the box has a volume of 12 cubic inches, what are the dimensions of the box?
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Let the width be "x"
Height = x+4
length = x-1
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Volume = lwh
12 = x(x-1)(x+4)
x(x^2+3x-4) = 12
x^3 + 3x^2 -4x - 12 = 0
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Usable solution:
x = 2.3 inches (width)
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x+4 = 6.3 inches (height)
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x-1 = 1.3 inches (length)
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Cheers,
Stan H.
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