SOLUTION: The height of a box is 4 inches more than the width and the length is 1 inch more than the width. If the volume of the box is 630 inches cubed, what are the dimensions of the box?

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Question 316402: The height of a box is 4 inches more than the width and the length is 1 inch more than the width. If the volume of the box is 630 inches cubed, what are the dimensions of the box?
Very confused as to how to set it up and solve....PLEASE help!!
Thank you
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The height of a box is 4 inches more than the width and the length is 1 inch more than the width. If the volume of the box is 630 inches cubed, what are the dimensions of the box?
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h = w+4
L = w+1
Vol = L*w*h
w*(w+1)*(w+4) = 630
w%5E3+%2B+5w%5E2+%2B+4w+-+630+=+0
w = 7.062882096135214 (by graphical methods)