SOLUTION: A large cube is painted red and then cut into 1000 congruent small cubes. How many of these small cube are painted red on at least two faces?

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Question 980802: A large cube is painted red and then cut into 1000 congruent small cubes. How many of these small cube are painted red on at least two faces?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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The large cube is 10 small cubes x 10 small cubes x 10 small cubes
The only cubes with two or more painted faces are the edges.
There are 12 edges with with 8 cubes painted on two sides, and 8 corners painted on 3 sides for a total of 96+8=104 cubes painted on at least 2 sides.
ANSWER: 104