Which point on the box is furthest from P when you can only travel on the surface of the box? The answer may not be what you expect. I break it down in a visual way to answer this question. This problem is from a 2013 UGA math tournament, here is the original problem and its solution (the last problem in the PDF): http://www.math.uga.edu/sites/default/files/PDFs/undergrad/MathTournament/teacher-team13.pdf