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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 have two faces painted yellow and black respectively ?
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 have two faces painted yellow and black respectively ?
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Solution
The correct option is C 12
In the given statement, there are 36 cubes, 32 of which are of the same size and 4 other sure of bigger size. Clearly, each side of bigger cubes is twice as large as that of similar 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 is black and all other faces are unpainted.
Clearly, there are two small and one larger cubes i.e. 3 cubes along each of the edges common to yellow and black, surfaces, which have one face painted yellow and one face painted black.
Thus there are (4×3)=12 such cubes.
In the given statement, there are 36 cubes, 32 of which are of the same size and 4 other sure of bigger size. Clearly, each side of bigger cubes is twice as large as that of similar 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 is black and all other faces are unpainted.
Clearly, there are two small and one larger cubes i.e. 3 cubes along each of the edges common to yellow and black, surfaces, which have one face painted yellow and one face painted black.
Thus there are (4×3)=12 such cubes.
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