A cube is painted on all its surface and then cut into 216 small cubes of equal size. How many small cubes of equal size are not painted on any surface?
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Each side of the cube is cut into 6 equal parts to give 6 × 6 × 6 = 2 1 6 smaller cubes. All smaller cubes one layer inside, that is 4 × 4 × 4 = 6 4 are not painted on any of their faces.