A cube of side 5 cm is painted on all its side. If it is sliced into 1 cubic centimeter cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
Created: 6 years ago |
Updated: 2 weeks ago
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A 5 cm side length cube is painted on all sides and then cut into 1 cm³ smaller cubes. To find the number of smaller cubes with exactly one painted face, we consider the center cubes on each face of the larger cube. Each face has a 3x3 grid of such cubes (excluding edge and corner cubes), totaling 9 per face. With 6 faces, the total number of 1 cm³ cubes with exactly one painted side is 6×9=54.
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