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ratio between the volumes of the pyramids

Source: Germany 2001 grade 11 p6

February 23, 2020
pyramidratioVolumegeometry3D geometry

Problem Statement

In a pyramid SABCDSABCD with the base ABCDABCD the triangles ABDABD and BCDBCD have equal areas. Points M,N,P,QM,N,P,Q are the midpoints of the edges AB,AD,SC,SDAB,AD,SC,SD respectively. Find the ratio between the volumes of the pyramids SABCDSABCD and MNPQMNPQ.
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