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A box has a total surface area of 100. The length of the box is equal to twice its width, as well as equal to 8 less than its height. What is the height of the box?

 Feb 6, 2022
 #1
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l = 2w      w = 1/2 l

l = h-8     h = l+8

l

 

 

2* (   lw  + wh  + lh)  = 100

2 ( l (1/2 l)  + 1/2 l (l+8)  + l ( l+ 8 ) ) = 100        Now expand this and solve for l     then h = l + 8  

                                                                                 ( you will need to use the Quadratic Formula)

 Feb 6, 2022

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