Results 1 to 3 of 3

Math Help - 4x4x4 Cube

  1. #1
    Junior Member MoniMini's Avatar
    Joined
    Feb 2011
    From
    India
    Posts
    34

    Post 4x4x4 Cube

    Today was our Math Wizard and there was this one question I was having a doubt about, I think I'm correct but I want to assure my answer. So here goes the question-

    There is a cube of which all faces are painted such that no adjacent faces are of the same color. The cube is then cut into 64 smaller cubes. How many small cubes are there, who only have 2 faces painted
    Options-
    a)16 b)24 c)12 d)6
    I think 24 will be the right answer but still I'm a bit doubtful........

    Thanks in Advance,
    ~MoniMini
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1

    Re: 4x4x4 Cube

    Quote Originally Posted by MoniMini View Post
    Today was our Math Wizard and there was this one question I was having a doubt about, I think I'm correct but I want to assure my answer. So here goes the question-





    I think 24 will be the right answer but still I'm a bit doubtful........

    Thanks in Advance,
    ~MoniMini
    Yes, since 8 cubes at the 8 corners will have 3 sides painted,
    the cubes with 2 sides painted will be the 2 centre cubes on each
    of the 12 edges.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member MoniMini's Avatar
    Joined
    Feb 2011
    From
    India
    Posts
    34

    Re: 4x4x4 Cube

    Quote Originally Posted by Archie Meade View Post
    Yes, since 8 cubes at the 8 corners will have 3 sides painted,
    the cubes with 2 sides painted will be the 2 centre cubes on each
    of the 12 edges.
    Thanks So MUCH!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Cube
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 17th 2010, 11:23 AM
  2. Cube
    Posted in the Geometry Forum
    Replies: 3
    Last Post: March 23rd 2010, 08:25 AM
  3. Cube Root times Cube Root
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: December 1st 2009, 06:03 AM
  4. The Hilbert cube homeomorphic to the cube?
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: June 12th 2009, 09:35 AM
  5. Cube
    Posted in the Geometry Forum
    Replies: 1
    Last Post: August 27th 2008, 02:03 AM

/mathhelpforum @mathhelpforum