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

Source:

February 28, 2024
geometry3D geometrypyramid

Problem Statement

In a regular hexagonal pyramid SABCDEFSABCDEF, a plane is drawn through vertex AA and the midpoints of edges SCSC and CECE. Find the ratio in which this plane divides the volume of the pyramid.