Question
Download Solution PDFA cube is painted on all its faces and it is cut into 64 identical smaller cubes. The difference between number of smaller cubes which are painted on one face and two faces, is -
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFA cube is painted on the faces of the same colour and cut into 64 smaller cubes of equal size.
Clearly, the cube has been cut into a 4 × 4 × 4 arrangement.
So, n = 4
By formula:-
Number of cubes that are painted on 1 face = 6(n-2)2
= 6(4-2)2 = 6 × 4 = 24
Number of cubes that are painted on 2 faces = 12(n-2)
= 12(4-2) = 12 × 2 = 24
So, the differences of both number of faces are = 24 - 24 = 0
Hence, "option 4" is the correct answer.
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