Bowl Team Question: Segments in a Cube CSU Math Day 2008 #5

CSU 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+3sqrt(2)+sqrt(3). What is s? Answer: s=1

 

Shelby Aaberg

 
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