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Let $ABCD$ be a regular tetrahedron.  Let $E$, $F$, $G,$ $H$ be the centers of faces $BCD$, $ACD$, $ABD$, $ABC$, respectively.  The volume of pyramid $DEFG$ is $18.$  Find the volume of pyramid $EFGH$

 Feb 4, 2024
 #1
avatar+129830 
+1

The base of EFGH  = the base of DEFG

 

The height of pyramid EFGH is (1/2) that of pyramid DEFG

 

So....the volume  of  pyramid EFGH =  (1/2)(18)  =  9

 

cool cool cool

 Feb 5, 2024

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