SOLUTION: A large plywood box has a volume of 240 ft3. Its length is 16 ft greater than its height, and its width is 1 ft less than its height. What are the dimensions of the box? Find th

Question 756606: A large plywood box has a volume of 240 ft3. Its length is 16 ft greater than its height, and its width is 1 ft less than its height. What are the dimensions of the box?
Find the Length, Height, width.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A large plywood box has a volume of 240 ft3. Its length is 16 ft greater than its height, and its width is 1 ft less than its height. What are the dimensions of the box?
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Equations:
L = H+16
W = H-1
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Volume = L*W*H = 240 ft^3
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(H+16)(H-1)(H) = 240
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H^3 + 15H^2 - 16H - 240 = 0
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H = 4 ft
L = H+16 = 20 ft
W = H-1 = 3 ft
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Cheers,
Stan H.
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