Results 1 to 3 of 3

Math Help - If a cube has the volume of 1000 then what is the smallest sphere that could be circu

  1. #1
    Newbie
    Joined
    Mar 2013
    From
    new york
    Posts
    6

    If a cube has the volume of 1000 then what is the smallest sphere that could be circu

    If a cube has the volume of 1000 then what is the smallest sphere that could be circumscribed around it?
    Is it 500√2 or 500√3
    how did you do it
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor ebaines's Avatar
    Joined
    Jun 2008
    From
    Illinois
    Posts
    1,160
    Thanks
    348

    Re: If a cube has the volume of 1000 then what is the smallest sphere that could be c

    Are you looking for the radius of the smallest spehere? First determine the length of each side of the cube. Then the spehere will have a radius that reaches from the center of the cube to each corner, so use Pythagorus to determine that length. By the way, neither of your answers are correct - perhaps the volume isn't 1000 but rather 1,000,000,000?
    Last edited by ebaines; June 19th 2013 at 10:14 AM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,413
    Thanks
    1852

    Re: If a cube has the volume of 1000 then what is the smallest sphere that could be c

    Equivalently, the length of a diagonal of a cube of side s has length s\sqrt{3} and that is the diameter of the circumscribing sphere.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Cube inscribed in a sphere
    Posted in the Algebra Forum
    Replies: 5
    Last Post: January 15th 2011, 03:32 AM
  2. Replies: 0
    Last Post: June 22nd 2010, 09:27 AM
  3. volume of a cube
    Posted in the Geometry Forum
    Replies: 7
    Last Post: October 11th 2009, 07:36 AM
  4. Replies: 3
    Last Post: May 14th 2009, 12:35 PM
  5. 1 coin tossed 1000 times vs 1000 coins
    Posted in the Advanced Statistics Forum
    Replies: 14
    Last Post: December 20th 2007, 07:55 PM

Search Tags


/mathhelpforum @mathhelpforum