Israel 2016 Q2 - Cube inscribed in cone
Source: Israel National Olympiad 2016 Q2
August 7, 2019
geometry3D geometryconesymmetry
Problem Statement
We are given a cone with height 6, whose base is a circle with radius . Inside the cone, there is an inscribed cube: Its bottom face on the base of the cone, and all of its top vertices lie on the cone. What is the length of the cube's edge?https://i.imgur.com/AHqHHP6.png