Cube Corner
A four-inch cube of solid-white material is painted black on all six faces, and then cut into one-inch cubes. Some of the small cubes will have three black faces, some will have two black faces, some one, and some none.
How many will there be each ?
How many will there be each ?
Labels: mathemagic, thinktank, trickofmind
posted by Rajesh Lal at
7:22 PM
6 Comments:
8 have 3 black faces, 24 have 2, 24 have 1, 8 have 0
i got the sames as post #1
Rx
A Rubik's Revenge (the 4×4×4 version of Rubik's Cube) painted black!
3 sided - aka corner piece = 8
2 sided - aka edge piece = 2x12 = 24
1 sided - aka face piece = 4x6 = 24
0 sided - aka center piece = 8
64 cubes
8 3 sided black
24 2 sided black
24 1 sided black
8 all white
4 inch cube cut in 1 inch cubes = 64 cubic inches (64 pieces)
8 with 3 black sides (the corners)
24 with 2 black sides (the edges)
24 with 1 black side (the center surface pieces)
8 with no black sides (internal pieces)
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64 pieces
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