SOLUTION: A cube has an edge length of 4 inches. The cube is painted red all over and then cut into 64 cubes of edge length 1 inch. How many of these cubes have exactly one face painted re

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Question 1110045: A cube has an edge length of 4 inches. The cube is painted red all over and then cut into 64 cubes of edge length 1 inch. How many of these cubes have exactly one face painted red?
Answer by ikleyn(52879) About Me  (Show Source):
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The small cubes that have exactly one face painted red are those 2x2 = 4 cubes at each large face that are located 
at the center of each face and are not attached neither to the edges nor to the corners.


The total number of such small cubes is 4*6 = 24.


Here "6" is the number of faces of the large cube.