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Cube Painting


StarLord
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Question

A big cube is divided into smaller cubes. The middle cubes on all the four edges of the top layer are divided into eight smaller cubes each. The entire is then painted black.


1) How many smaller cubes are painted black on more than 3 faces?
0         4         8         12


2) How many smaller cubes are painted black on only 3 faces?
0         4         8         12


3) How many smaller cubes are painted black on only 2 faces?
4         8         12         16


4) how many smaller cubes are painted on only 1 face?
18         20         22         24


5) how many smaller cubes are not painted black at all?
1         3         6         9.

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