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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 only two faces painted ?
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 only two faces painted ?
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Solution
The correct option is C 20
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
Leaving the 4 central cubes on each of the blue surface and 8 cubes at the edges of he block all the rest have two faces painted Thus the cubes having only two faces painted are 8 cubes on each of the blue surfaces and 4 larger cubes i.e. there are (8×2)+4=20 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
Leaving the 4 central cubes on each of the blue surface and 8 cubes at the edges of he block all the rest have two faces painted Thus the cubes having only two faces painted are 8 cubes on each of the blue surfaces and 4 larger cubes i.e. there are (8×2)+4=20 such cubes
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