SOLUTION: The volume of a box is 340in^3. The width of the box is five times the height. The length of the box is 15 inches more than the height. What are the dimensions of the box?

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Question 1099070: The volume of a box is 340in^3. The width of the box is five times the height. The length of the box is 15 inches more than the height. What are the dimensions of the box?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
L%2AW%2AH=340
W=5H
L=15%2BH
Substituting,
%2815%2BH%29%285H%29H=340
H%5E2%28H%2B15%29=68%7D%7D%0D%0A%7B%7B%7B+H%5E3%2B15H%5E2-68=0+
+%28H-2%29%28H%5E2%2B17H%2B34%29=0+
Only positive roots are allowed.
H-2=0
H=2in
So then,
W=5%282%29
W=10in
and
L=15%2B2
L=17in