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# PS-A Large Cube-Probability

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Director
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31 Mar 2009, 23:33
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A large cube 10cm on a side is composed of smaller cubes 1 cm on a side. The large cube is printed red on its outside surfaces and then all the cubes are mixed in a drum. If one cube is selected randomly, which of the following is the approximate probability that the cube will have at least one red face?

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CEO
Joined: 17 Nov 2007
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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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Kudos [?]: 3327 [0], given: 360

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31 Mar 2009, 23:46
Number of 1cm3 cubes = 10*10*10 = 1000
Number of 1cm3 cubes that are not painted = 8*8*8 = 512
Probability = (1000 - 512) / 1000 ~ 1/2
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Director
Joined: 14 Aug 2007
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Kudos [?]: 176 [0], given: 0

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31 Mar 2009, 23:54
nitya34 wrote:
A large cube 10cm on a side is composed of smaller cubes 1 cm on a side. The large cube is printed red on its outside surfaces and then all the cubes are mixed in a drum. If one cube is selected randomly, which of the following is the approximate probability that the cube will have at least one red face?

total number of cubes = 1000
Not painted = 8^3 = 512

At least problem => 1 - 512/1000 = 488/1000
Director
Joined: 04 Jan 2008
Posts: 914
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Kudos [?]: 547 [0], given: 17

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01 Apr 2009, 01:30
thanks
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Re: PS-A Large Cube-Probability   [#permalink] 01 Apr 2009, 01:30
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