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A 3 × 3 × 3 cube is painted on all sides and then cut into 27 unit cubes. How many small cubes have EXACTLY 2 painted faces?
A8 cubes
B12 cubes
C6 cubes
D1 cube
Answer & Solution
Correct answer: B. 12 cubes
For an n × n × n cube: edges = 12(n − 2). For n = 3: 12 × 1 = 12 small cubes with exactly 2 painted faces. (Corners = 8 with 3 faces; faces = 6 with 1; inside = 1 with 0.)
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