determine the height that the liquid reaches inside the pyramid
Source: OLCOMA Costa Rica National Olympiad, Final Round, 2018 3.6
September 23, 2021
geometry3D geometrypyramid
Problem Statement
The four faces of a right triangular pyramid are equilateral triangles whose edge measures dm. Suppose the pyramid is hollow, resting on one of its faces at a horizontal surface (see attached figure) and that there is dm of water inside. Determine the height that the liquid reaches inside the pyramid.
https://cdn.artofproblemsolving.com/attachments/0/7/6cd6e1077620371e56ed57d19fd3d05a58904e.png