SOLUTION: You have a 6x6x6 cube. You paint each face of the cube. How many cubes are not painted? How many cubes have 3 painted faces? 2 faces? 1 painted face? Generalize your results for an

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Question 657672: You have a 6x6x6 cube. You paint each face of the cube. How many cubes are not painted? How many cubes have 3 painted faces? 2 faces? 1 painted face? Generalize your results for an n by n by n cube with n=2
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
You have a 6x6x6 cube. You paint each face of the cube. How many cubes are not painted?
None. You said you painted each face.
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How many cubes have 3 painted faces?
There's only one cube. It has 6 painted faces.
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2 faces?
Same as above.
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1 painted face?
Same as above.
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Generalize your results for an n by n by n cube with n=2
I think you left something out.
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Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

For a cube made up of smaller cubes where and painted on the outside the number of smaller cubes with

Zero faces painted:

One face painted:

Two faces painted:

Three faces painted:

John

My calculator said it, I believe it, that settles it