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Question
A solid cube has been painted yellow, blue and black on pairs of opposite faces The cube is then cut into 36 smaller cubes such that 32 cubes are of the same size while 4 others are of bigger sizes Also no faces of any of the bigger cubes is painted blue
How many cubes do not have any of their faces painted yellow ?
A solid cube has been painted yellow, blue and black on pairs of opposite faces The cube is then cut into 36 smaller cubes such that 32 cubes are of the same size while 4 others are of bigger sizes Also no faces of any of the bigger cubes is painted blue
How many cubes do not have any of their faces painted yellow ?
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Solution
The correct option is C 16
In the figure there are 36 cubes 32 of which are of the same size and 4 others are of bigger size Clearly each side of bigger cubes is twice as large as that of smaller cubes Also since no face of any of the larger cubes is painted blue so each one of the larger cubes has one face painted red one face painted black and all other faces unpainted
The cubes having at least one face painted yellow are the 10 cubes along the top surface and 10 cubes along the bottom surface i.e. 20 cubes having at least one face painted yellow Thus the number of cubes having none of their faces painted yellow are 36−20=16
In the figure there are 36 cubes 32 of which are of the same size and 4 others are of bigger size Clearly each side of bigger cubes is twice as large as that of smaller cubes Also since no face of any of the larger cubes is painted blue so each one of the larger cubes has one face painted red one face painted black and all other faces unpainted
The cubes having at least one face painted yellow are the 10 cubes along the top surface and 10 cubes along the bottom surface i.e. 20 cubes having at least one face painted yellow Thus the number of cubes having none of their faces painted yellow are 36−20=16
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