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Ask Marilyn: About the Wedge Puzzle
Mark Bierman of Columbus, Nebraska, writes:
Marilyn: In the column about the wedge removed from a cube, you made an unwarranted assumption. (September 30, 2012) Your solution assumed that the wedge was divided evenly down the middle of the cube. The question specified only "...the center of a cube as shown." The exact point of the wedge was not dimensioned, so your reasoning assumed it was halfway or 1/2. The way I reasoned the problem, you could "slide" the wedge either way to one side and still have the same size wedge. It just wouldn’t be symmetrical.
You're right, of course, and the answer would be the same. But I thought that the specification "...the center of a cube as shown" was enough to define the problem. Plus, I didn't have the space to elaborate. That's always a problem these days.