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Question:  there is 4 cube.They arrange in side by side.The black color is paint ed on the 4 cubes. 1st and 3rd cube is cube is cut by 64 pieces and 2nd 3rd by 27 pieces.Then
1)how many pieces painted only one side?
2)how many pieces painted only two side?
how many pieces painted only three side?




September 09, 2009 10:19:24 #7
 paul.anuj   Member Since: February 2008    Total Comments: 5 

RE: there is 4 cube.They arrange in side by side.The black color is paint ed on the 4 cubes. 1st and 3rd cube is cube is cut by 64 pieces and 2nd 3rd by 27 pieces.Then1)how many pieces painted only one side?2)how many pieces painted only two side?how many
 
No of cubes painted on one side for 1st & 3rd cube= 2[6(n-2)^2] =2[6(4-2)^2] = 48
No of cubes painted on one side for 2nd & 4th cube=2[6(n-2)^2] =2[6(3-2)^2] = 12
                                                                 Total No of cubes painted on one side = 50.

No of cubes painted on two sides for 1st & 3rd cube= 2[12(n-2)] =2[12(4-2)] = 48
No of cubes painted on two sides for 2nd & 4th cube= 2[12(n-2)] =2[12(3-2)] = 24
                                                              Total No of cubes painted on one side = 48.

No of cubes painted on three sides for every cube will always be 8.
Hence Total No of cubes painted on three sides = 8*4= 24.


1st and 3rd cube has been cut into 64 pieses which is (n*n*n) hence n=4.
2nd and 3rd cube has been cut into 27 pieces. hence n=3.

     

 

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