SOLUTION: The height of a box is 7 inches. Its length is 6 inches more than its width. Find the length if the volume is 280 cubic inches. a) 40 in. b) 7 in. c) 10 in. d) 4 in. e) 13 in.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The height of a box is 7 inches. Its length is 6 inches more than its width. Find the length if the volume is 280 cubic inches. a) 40 in. b) 7 in. c) 10 in. d) 4 in. e) 13 in.      Log On

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Question 251838: The height of a box is 7 inches. Its length is 6 inches more than its width. Find the length if the volume is 280 cubic inches.
a) 40 in. b) 7 in. c) 10 in. d) 4 in. e) 13 in.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
v=H*W*L
280=7*W*(6+W)
280=42W+7W^2
40=6w+w^2
W^2+6W-40=0
(W-4)(W+10)=0
W=4
We can only use positive results
L=6+W
L=4+6=10