Richard is correct. If a fair batted ball makes contact with that part of a batter outside of the batter's box, he is out, dead ball, etc. etc. If said contact occurs against that part of a batter still inside the box, the official interp. is that it's simply a foul ball, even if it occurs in that small portion of the box that is technically in fair territory.
Now, here's today's trivia question: What percentage of the box is in fair territory? (Disclaimer: Chris Jaksa went into a fun geometric discussion of this in umpire school lo those many Moons ago.)
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