The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.


Boxing the Blocks

Your nephew has a problem keeping his room clean. It's a constant disaster area. His toy blocks are usually scattered across the floor, making for a frequent eyesore and frequently making feet sore.

So you give him a handmade wooden box to pack his blocks away in, and offer to show him how to use it.

"Thanks Uncle, but I'm a thirty-six year old sysadmin- I think I can figure out how to put my toys away."

Ah youth.

Several weeks later you return, and his blocks are still scattered across the floor.

"I'm sorry Uncle, but I can't figure out how to do it. I can never manage to get all my blocks into the box."

That's odd, he's normally a bright lad. The box you gave him has an entire volume of six inches, by six inches, by six inches. That's 216 cubic inches. He has twenty-seven blocks measuring four inches by two inches by one inch. That's exactly 216 cubic inches as well.

Why is your nephew having such a hard time putting his toys away?

Box and blocks

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