SOLUTION: The base of a closed rectangular box has length equal to 3 times its width, which is w inches; its height is 6 in. less than its width. Express the surface area, S, of the box as

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Question 178772This question is from textbook
: The base of a closed rectangular box has length equal to 3 times its width, which is w inches; its height is 6 in. less than its width. Express the surface area, S, of the box as a function of w.
I've tried this several different times, but for some reason I just can't get the same answer that is in the back of the book. This question is from textbook

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
First off, draw a rectangular solid on a piece of paper.
Label the sides L, W, and H.
Now calculate the surface area.
You should get contributions from the LW face of 2*LW, the LH face of 2*LH, and the WH face of 2*WH.


Now to the measurements,
Length = 3*Width=3*W,
Width = W
Height=Width-6=W-6,
Go back to the surface area equation and substitute,
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