Results 1 to 4 of 4

Math Help - Volume, Density. Mass

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    12

    Volume, Density. Mass

    A rock has a density of 17 gm/cc. If it is cut into 3 equal pieces, what will be the dencity of each peice?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member topher0805's Avatar
    Joined
    Jan 2008
    From
    Vancouver
    Posts
    336
    Uhmm.....

    Density is defined as Mass divided by Volume. It's a ratio. So, when the rock is cut into 3, does that ratio change for any of the three pieces?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2008
    Posts
    12

    Exclamation Need equation

    No, the ratio doesn't change, but I don't know how to express it in a formula.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member topher0805's Avatar
    Joined
    Jan 2008
    From
    Vancouver
    Posts
    336
    Try this:

    D_1=17

    D_1=\frac {M}{V}

    So when the rock is cut into three equal pieces, the mass and volume are also cut into three equal pieces:

    D_2=\frac {\frac {M}{3}}{\frac {V}{3}}

    Remember that to divide fractions you flip and multiply. So:

    D_2=\frac {M}{3}\cdot \frac {3}{V}

    D_2=\frac {M}{V}

    Therefore:

    D_2=D_1

    D_2=17
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Volume using mass and density.
    Posted in the Geometry Forum
    Replies: 3
    Last Post: December 15th 2011, 04:57 PM
  2. Mass, Density, And Volume (what units?)
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: May 14th 2011, 07:55 AM
  3. p (density) = m (mass)/V (volume) problem
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: March 3rd 2009, 12:55 PM
  4. Density, Volume, Mass
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: April 9th 2008, 04:57 PM
  5. Volume, Density, Mass
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: April 9th 2008, 02:49 PM

Search Tags


/mathhelpforum @mathhelpforum