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There will be 64 cubes total.

The original 8 corners will have three red faces.

The cubes that came from the original 12 edges excluding the original 4 corners will be 24 with two red faces (adjoining faces).

There will also be leftover 24 cubes with one red face and 8 cubes with no red paint.

8+24+24+8 = 64

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Q: A cube that is 4 by 4 by 4 is all red and cut into 1 by 1 by1 how many 111 cubes have red paint on two faces?
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