SOLUTION: The cabinet has a volume of 120 cubic units. The dimensions are consecutive numbers. The width is the shortest side and the height is the longest. What's the measure of each side?

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Question 1033177: The cabinet has a volume of 120 cubic units. The dimensions are consecutive numbers. The width is the shortest side and the height is the longest. What's the measure of each side?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4*5*6 = 120 (by observation)
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The hard way:
n*(n+1)*(n+2) = 120
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Not quite as hard way:
(n-1)*n*(n+1) = 120
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Even easier:
root%283%2C120%29 =~ 5, the middle number