SOLUTION: The length of a rectangular box (shaped like a rectangular prism ) is 1 inch greater than its width. The height of the box is three times its length. If the volume of the box is 11
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Question 1166293: The length of a rectangular box (shaped like a rectangular prism ) is 1 inch greater than its width. The height of the box is three times its length. If the volume of the box is 11,520 in^3, find the dimensions of the box.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The length of a rectangular box (shaped like a rectangular prism ) is 1 inch greater than its width. The height of the box is three times its length. If the volume of the box is 11,520 in^3, find the dimensions of the box.
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L = W + 1
H = 3L = 3W+3
----
Vol = W*(W+1)*(3W+3) = 11520
W*(W+1)^2 = 3840
W^3 + 2W^2 + W - 3840 = 0
W = 15
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