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1. A rectangular prism has a total surface area of \(48.\) Also, the sum of all the edges of the prism is \(40\). Find the length of the diagonal joining one corner of the prism to the opposite corner.

 

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Thank you!

 Apr 16, 2020
 #1
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Try these for the edges:  4 - 2sqrt(2),  4 + 2sqrt(2),  2.

 Apr 16, 2020
 #2
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Wait, so if those are the edges do I just use the Pythagorean Theorem to find the diagonal?

 Apr 17, 2020
 #3
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To find the diagonal of a prism, use the "Three dimensional Pythagorean Theorem":

 

Distance2  =  Length2 + Width2 + Height2

 Apr 17, 2020

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