MathDB

6 (11)

Part of 2001 German National Olympiad

Problems(1)

ratio between the volumes of the pyramids

Source: Germany 2001 grade 11 p6

2/23/2020
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.
pyramidratioVolumegeometry3D geometry