Question
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One hundred and twenty five cubes of the same size are arranged in the form of a cube on a table. Then a column of five cubes is removed column from each of the four comers. All the exposed faces of the rest of the solid (except the face touching the table) are coloured red. Now, answer these questions based on the above statement:
How many cubes do not have any coloured face?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFAccording to the question:
1) One hundred and twenty five cubes of the same size are arranged in the form of a cube on a table.
2) Then a column of five cubes is removed column from each of the four comers.
3) All the exposed faces of the rest of the solid (except the face touching the table) are coloured red.
So, number of cubes do not have any coloured face = 9 × 5 (Center cubes) - 9 (Top center Layer cubes)
= 45 - 9 ⇒ 36
Hence, "Option 3" is the correct answer.
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