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 $EFGH$
Find the volume of pyramid EFGH.
Hello Vxrtate!
ΔEFG⋅2h3=18ΔEFG=3⋅182hVEFGH=ΔEFG⋅13hVEFGH=3⋅182h⋅13hVEFGH=9
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