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*Simple conversion probelm - Converting 1.08 x 10^8 dm^3 to m

  1. Apr 23, 2012 #1
    1. The problem statement, all variables and given/known data

    Just doing a review, and im doing something wrong. I know its very simple, but can someone tell me what im doing wrong.

    The volume of a room is 1.08x10^8 dm^3

    What is the volume in m^3?



    2. Relevant equations

    I am going ?m^3 = 1.08x10^8 dm^3 = 1 dm^3/ .1m
    (so the dm^3 cancels out, leaving just the m, but my answer is: 1.08x10^10
    And the correct answer is 1.08x10^5 m^3

    can someone explain to me again how to do this? Thanks!



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 23, 2012 #2

    gneill

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    Staff: Mentor

    One dm is how many meters?

    So how many m3 is a dm3? Hint: dm3 is a cube that is one dm on each side.
     
  4. Apr 23, 2012 #3
    Ohh..hmm, so is this how you do it?

    1.08x10^8dm^3 ((.1m/1dm)^3)

    = 1.08x10^5 ? m^3
     
  5. Apr 23, 2012 #4

    gneill

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    Staff: Mentor

    That works :smile:
     
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