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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 f 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 at least one face painted blue ?
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 f 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 at least one face painted blue ?
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Solution
The correct option is D 32
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
Cubes having at least one face painted blue are those which lie along the two surfaces painted blue Since each blue surface has 16 cubes so there are 16×2=32 such cubes
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
Cubes having at least one face painted blue are those which lie along the two surfaces painted blue Since each blue surface has 16 cubes so there are 16×2=32 such cubes
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