Puzzle of the day: 120
All the faces of 4*4 cube are painted in black color. If the cube is cut into 64 smaller cubes of 1*1, then how many of these 64 cubes have exactly one face painted in black.
- 24
- 12
- 27
- 51
All the faces of 4*4 cube are painted in black color. If the cube is cut into 64 smaller cubes of 1*1, then how many of these 64 cubes have exactly one face painted in black.
Ans (1) 24 Sol There are 16 square on each face of the cube. Squares on the edges are part of the cubes that have more than one face painted. Remove the edges then you will see 4 squares only. These squares are part of the cube that have only one face painted. In 6 faces there are 4*6 = 24 such cubes
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