Purple Comet 2016 HS Problem 27
Source:
April 12, 2018
Purple Comet
Problem Statement
A container the shape of a pyramid has a 12 × 12 square base, and the other four edges each have length 11. The container is partially filled with liquid so that when one of its triangular faces is lying on a flat surface, the level of the liquid is half the distance from the surface to the top edge of the container. Find the volume of the liquid in the container.https://snag.gy/CdvpUq.jpg