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A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?

Answer with illustrations will be helpful for me. Thanks in advance.

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1 Answer 1

up vote 1 down vote accepted

Hint: Think of a Rubik's cube (image source)

enter image description here

(just imagine that the center is also a cube, not a turning mechanism like it is in real life).

How many cubes have two stickers?

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is there have 12? –  Complex Guy Jun 19 '13 at 6:10
    
Yes, that's right. Do you understand why this is the right picture for your question? –  Zev Chonoles Jun 19 '13 at 6:11
    
yup got it, but it's hard to it by hand :( cause drawing the picture is kinda hard. –  Complex Guy Jun 19 '13 at 6:16

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