A block of cheese has the shape of a cube of size 3 x 3 x 3.
It is divided into 27 small cubes of size 1 x 1 x 1.
A mouse eats small cubes one by one. After finishing a small cube, it eats an adjacent (that shares a face) small cube.
Can the center small cube be eaten last?
2007-10-10 08:52:10 · 5 answers · asked by Zo Maar 5 in Science & Mathematics ➔ Mathematics
My guess would be no, the center small cube can never be the last one.
2007-10-10 09:26:24 · answer #1 · answered by TitoBob 7 · 1⤊ 0⤋
Yes. The mouse has to eat the cheese in a certain order, but it can save the middle piece for last.
Do I have to explain it further to get points? LOL
Good teaser!
2007-10-10 15:56:50 · answer #2 · answered by possumpal 3 · 1⤊ 1⤋
That's a trick question!
You can't make a cube with an odd number of cubes!
2007-10-10 15:57:26 · answer #3 · answered by Anonyomous 2 · 0⤊ 3⤋
No, I don't believe it can. But I can't say for sure.
2007-10-10 15:57:02 · answer #4 · answered by Anonymous · 1⤊ 1⤋
Do your own homework!
2007-10-10 15:56:09 · answer #5 · answered by Alan W 1 · 0⤊ 4⤋