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Cube Painting

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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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4 answers to this question

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Posted · Report post

What is the initial division? 3x3x3? something else? or purposely not given?

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Posted (edited) · Report post

1) 0

2) 8

3) 16

4) 22

5) 9

Edited by k-man
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Posted · Report post

@bonanova . purposely not given .

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Posted · Report post

"The middle cubes on all the four edges of the top layer" means (all) the inner (or non-corner) cubes, then.

OK thanks.

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