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Puzzles
Puzzles

Cube Cutting

Puzzle

Imagine a 3x3x3 wooden cube. How many cuts do we need to break it into twenty-seven 1x1x1 cubes? A cut may go through multiple wooden pieces.

Source

Do not remember.

Solution

The central 1×1×1 cube has six faces. No cut can reveal two or more of these faces! So six cuts are necessary and sufficient.

Previous Puzzle: Fox in a Hole

Consider five holes in a line. One of them is occupied by a fox. Each night, the fox moves to a neighboring hole, either to the left or to the right. Each morning, you get to inspect a hole of your choice. What strategy would ensure that the fox is eventually caught?

Next Puzzle: Ant Collisions

Peter and Cynthia stand at each end of a straight line segment. Peter sends 50 ants towards Cynthia, one after another. Cynthia sends 20 ants towards Peter. All ants travel along the straight line segment. Whenever two ants collide, they simply bounce back and start traveling in the opposite direction. How many ants reach Peter and how many reach Cynthia? How many ant collisions take place?

12 Sep 2008
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