CTS - Solid cube of 6 * 6 * 6. This cube is cut into to 216 small cubes. (1 * 1 * 1).the big cube is pain

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Solid cube of 6 * 6 * 6. This cube is cut into to 216 small cubes.
(1 * 1 * 1).the big cube is painted in all its faces.
Then how many of cubes are painted at least 2 sides.

Total Answers and Comments: 9

Last Update: January 02, 2007 Asked by: danie

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June 30, 2006 09:42:50

meera

RE: Solid cube of 6 * 6 * 6. This cube is cut into to ...

cube has 12 sides, totally (6*4)+(4*8) cubes on the edges f it s 1*1*1 dimension. ie 58 cubes on the sides, which can take atleast 2 or more colored faces

ans:58

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July 09, 2006 10:26:45

chaitanya

RE: Solid cube of 6 * 6 * 6. This cube is cut into to ...

answer is 56 ,8 on edges and 48 on sides

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July 25, 2006 01:28:29

Ankur Jain

RE: Solid cube of 6 * 6 * 6. This cube is cut into to ...

The answer should b 56.

8 on corners + 4*12 on each edge.

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July 27, 2006 07:18:15

venkataswami

RE: Solid cube of 6 * 6 * 6. This cube is cut into to ...

ans: 56 (sure)

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July 30, 2006 18:36:44

Scott McGillivray

RE: Solid cube of 6 * 6 * 6. This cube is cut into to ...

I get 564 * 2 sided cubes per edge * 12 edges = 488 corner cubes48 + 8 = 56

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July 31, 2006 01:19:11

sasidhar

RE: Solid cube of 6 * 6 * 6. This cube is cut into to ...

hello venkataswami, can u explain clearly

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August 23, 2006 07:31:44

chitra

RE: Solid cube of 6 * 6 * 6. This cube is cut into to ...

The formula for the cube prob is n^3=((n-2)^3)+6((n-2)^2)+12(n-2)+88--->3 sides painted12(n-2)--->2 sides painted6((n-2)^2)----> 1 side painted(n-2)^3-----> no sides paintedhere,atleast 2 sides shuld be paintedso, 2 side +3 side=48+8=56

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November 23, 2006 05:48:57

surajit patra

RE: Solid cube of 6 * 6 * 6. This cube is cut into to ...

ans is 48becouse 6side is there and just (n-2)*12(6-2)*12=48

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January 02, 2007 11:17:16

anjali

RE: Solid cube of 6 * 6 * 6. This cube is cut into to ...

on each corner edge 6 cubes,

4no corner edges x 6= 24

on each vertical (4)faces 8cubes remaining faces top and bottom already covered

24+ 4x8 =56

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