2024 Geo Problem 6
Source:
April 15, 2024
geometry
Problem Statement
Andrew Mellon found a piece of melon that is shaped like a octagonal prism where the bases are regular. Upon slicing it in half once, he found that he created a cross-section that is an equilateral hexagon. What is the minimum possible ratio of the height of the melon piece to the side length of the base?Proposed by Lohith Tummala