Hint for Puzzle #3: The Fly in a Cubic Room

3. You are a bug sitting in one corner of a cubic room. You wish to walk (no flying) to the extreme opposite corner (the one farthest from you). Describe the shortest path that you can walk.
image of a bug for bug riddle

There are two obvious short roots. For me the one I first thought of was not the best one. Use Pythagoras theorem to work out the distances. The answer is not 2.414

If you're struggling to visualise the route I can show you a diagram, leaving you to work out the distance....

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