SOLUTION: the height of the box is 6 inches.the length is 3 inches more than the width find the width if the volume is 528 cubic inches?

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Question 964830: the height of the box is 6 inches.the length is 3 inches more than the width find the width if the volume is 528 cubic inches?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
W=width; L=length=W+3in; H=height=6in
V=LxWxH
528in%5E3=%28L%29%28W%29%286in%29 Substitute for L.
528in%5E3=%28W%2B3in%29%28W%29%286in%29 Divide each side by 6in.
88in%5E2=W%5E2%2B3W Subtract 88in^2 from each side.
0=W%5E2%2B3W-88in%5E2
0=%28W%2B11in%29%28W-8in%29
W%2B11in=0 or W-8in=0
W=-11in or W=8in
ANSWER 1: The width is 8 inches.
L=W+3in=8in+3in=11in ANSWER 2: The length is 11 inches.
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CHECK:
V=%28L%29%28W%29%28H%29
528in%5E3=%2811in%29%288in%29%286in%29
528in%5E3=528in%5E3