SOLUTION: Please help me to get how to solve this problem. Thank you! Here it is... There are 27 white cubes assembled to form a large cube. The outside surface of the large cube is pa

Question 141853This question is from textbook Prentice Hall Mathmatics Pre-Algrebra
: Please help me to get how to solve this problem. Thank you!
Here it is...
There are 27 white cubes assembled to form a large cube. The outside surface of the large cube is painted red. The large cube is then separated into the 27 smaller cubes. How many of the smalls cubes will have red paint on these exact number of faces: three faces, two faces, one face, and no face?
Thank you for all of your helpful tips! This question is from textbook Prentice Hall Mathmatics Pre-Algrebra

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
this is like a thought experiment

with 27 small cubes, the edge of the large cube will be 3 small cubes (3^3=27)

3 faces painted __ the corners of the large cube __ 8

2 faces painted __ the middle of each edge of the large cube __ 12

1 face painted __ the center of each face of the large cube __ 6

no faces painted __ the center of the large cube __ 1
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