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 4x4x4. Only the inside subcubes are unpainted, thus all but 8 are unpainted, leaving 64-8=56 painted.

See also

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