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Question
How many cubes have atleast one of their faces painted yellow or blue ?
How many cubes have atleast one of their faces painted yellow or blue ?
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Solution
The correct option is A 36
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.
The number of cubes having atleast one of the faces painted yellow is 20. Also, the number of cubes having atleast one of the faces painted blue is 32. (Those lying along the two blue surfaces). But there are 16 cubes lying along the 4 edges common to blue and yellow surfaces. Thus, the cubes having atleast one of their faces painted yellow or blue is (20+32−16)=36.
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.
The number of cubes having atleast one of the faces painted yellow is 20. Also, the number of cubes having atleast one of the faces painted blue is 32. (Those lying along the two blue surfaces). But there are 16 cubes lying along the 4 edges common to blue and yellow surfaces. Thus, the cubes having atleast one of their faces painted yellow or blue is (20+32−16)=36.
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