Bowl Team Question: Segments in a Cube CSU Math Day 2008 #5
- Shelby Aaberg
Colorado State University Math Day 2008, Team Competition, 1:40 Rd #5 (30 sec to answer) On a cube with side length s, call one corner A. Consider the line segments that connect A to all other corners. The sum of the lengths of these line segments is 3+3*sqrt(2)+sqrt(3). What is s? Answer: s=1
Orange edges correspond to edges of the cube. Green edges correspond to diagonals on the faces. The black segment AI is the segment connecting our vertex of interest A to vertex I.