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I'm having a lot of trouble with this problem. I usually don't do this, but I'm sick; any help appreciated!

 

In a certain rectangular prism, the total length of all the edges is 40, and the total surface area is 48. Find the length of the diagonal connecting one corner to the opposite corner.

 Feb 23, 2020
 #1
avatar+23245 
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In a rectangular prism, you have three variables:  length, width, and height.

But, you have only two formulas: one for total length of the edges, the other for the total surface area.

In my opinion, this can't be solved.

 Feb 23, 2020
 #2
avatar+128474 
+1

Agree with  geno

 

We will have  two equations but   3 unknowns....so....we could have infinite solutions

 

If we knew the volume.....we could solve  this

 

 

cool cool cool

CPhill  Feb 23, 2020

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