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Question
Two hundred and sixteen cubes of the same size are arranged in the form of a cube on a table. A column of six cubes is removed from each of the four corners. Then, all the exposed faces of the solid (except the face touching the table) are coloured black. Now, answer these questions based on the above information:
How many small cubes have at most 2 faces colored?
Two hundred and sixteen cubes of the same size are arranged in the form of a cube on a table. A column of six cubes is removed from each of the four corners. Then, all the exposed faces of the solid (except the face touching the table) are coloured black. Now, answer these questions based on the above information:
How many small cubes have at most 2 faces colored?
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Solution
The correct option is D 184
Total number of cubes = 192
Number of cubes with 3 coloured faces = 8 (top corners)
Cubes with at most 2 painted faces = 192 – 8 = 184
Total number of cubes = 192
Number of cubes with 3 coloured faces = 8 (top corners)
Cubes with at most 2 painted faces = 192 – 8 = 184
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