SOLUTION: I am building a box. I know the area of each side of a rectangular box is 252, 168 and 96. The total surface area is 2(252 +168 + 96)=1,032. How can I find the dimensions of the

Algebra ->  Surface-area -> SOLUTION: I am building a box. I know the area of each side of a rectangular box is 252, 168 and 96. The total surface area is 2(252 +168 + 96)=1,032. How can I find the dimensions of the       Log On


   

Question 593045: I am building a box. I know the area of each side of a rectangular box is 252, 168 and 96. The total surface area is 2(252 +168 + 96)=1,032. How can I find the dimensions of the l,w,and h. Since I know the surface area of each side I came up with the following: l*w=252, l*h=168, w*h=96. Would I start by solving for l as in l=252/w and then substitute it into the next equation as (252/w)h=168. This is when I get confused.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You started on the right track.







Solve the first two for and the third one for







Use this expression for in the second expression that is equal to



Simplify:



Now that you have two expressions involving that are equal to , set them equal to each other:



Cross-multiply:



You should be able to handle it from here, n'est-ce pas?

John

My calculator said it, I believe it, that settles it
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