SMT 2019 Geometry #5 prism
Source:
August 8, 2023
geometry3D geometryprism
Problem Statement
The bases of a right hexagonal prism are regular hexagons of side length , and the prism has height . The prism contains some water, and when it is placed on a flat surface with a hexagonal face on the bottom, the water has depth . The water depth doesn’t change when the prism is turned so that a rectangular face is on the bottom. Compute .