4

Part of 2022 Adygea Teachers' Geometry Olympiad

Problems(1)

plane cuts hexagonal pyramid (2022 Adygea Teachers' Geometry Olympiad p4)

Source:

In a regular hexagonal pyramid

SABCDEF

, a plane is drawn through vertex

A

and the midpoints of edges

SC

CE

. Find the ratio in which this plane divides the volume of the pyramid.

geometry3D geometrypyramid