64 smaller but identical cubes have been put together to form a larger cube. This larger cube is now painted on all 6 faces. How many of the smaller cubes have exactly two faces painted?
Answers
Given : 64 smaller but identical cubes have been put together to form a larger cube
This larger cube is now painted on all 6 faces
To Find : How many of the smaller cubes have exactly two faces painted
Solution:
64 smaller but identical cubes have been put together to form a larger cube.
New cube Size = 4 x 4 x 4
Cubes at Edges will have 2 or more Face painted
Cubes at corners will have 3 face painted
Hence at each edge 4 - 2 = 2 cubes will have 2 face painted
there are 12 Edges in Cube
Hence 12 x 2 = 24 cubes
24 smaller cubes have exactly two faces painted
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