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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.

 

2. In a certain regular square pyramid, all of the edges have length \(12\). Find the volume of the pyramid.

 

Thank you!

 Apr 13, 2020
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1. The diagonal is 8*sqrt(2).

 

2. The height of the pyramid is 3*sqrt(3), so the volume of the pyramid is 144*sqrt(3).

 Apr 14, 2020

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