2005 Alabama ARML TST Problems/Problem 2

Problem

A large cube is painted green and then chopped up into 64 smaller congruent cubes. How many of the smaller cubes have at least one face painted green?

Solution

The cube is . Only the inside sub-cubes are unpainted, thus are unpainted, leaving painted.

See also

2005 Alabama ARML TST (Problems)
Preceded by: Problem 1	Followed by: Problem 3
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