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Let \(A_1 A_2 A_3 A_4\) be a regular tetrahedron. Let \(P_1\) be the center of face \(A_2 A_3 A_4\) and define vertices  \(P_2, P_3\) and \(P_4\) the same way. Find the ratio of the volume of tetrahedron \(A_1 A_2 A_3 A_4\) to the volume of tetrahedron \(P_1 P_2 P_3 P_4\).

 

 May 8, 2020
 #1
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Using vectors, we can show that the ratio of the volume is 18.

 May 8, 2020
 #2
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That is incorrect.

Divineology  May 8, 2020

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