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Homework Help: Unit conversions

  1. Feb 14, 2016 #1
    1. The problem statement, all variables and given/known data
    A block of wood measuring 5 cm x 3 cm x 10 cm has a mass of 90 grams. What is the density of the wood in kg/m^3?

    2. Relevant equations

    3. The attempt at a solution
    I know this seems trivial but I need to get the math down to a T. I know that it s 06.g/cm^3 but how is this converted to kg/m^3? For example, we know that 1 m^3 = 10^6 cm^3. My calculation are as follows:

    (0.6 g/cm^3)(1 kg/1000g)(100000 cm^3/1 m^3). I keep getting 60 kg/m^3 but the correct answer is 6.0 x 10^2 kg/m^3. Seriously, what am I continually doing wrong? Thanks for the help!
  2. jcsd
  3. Feb 14, 2016 #2


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    Staff Emeritus
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    Gold Member

    count the zeros in 100000 cm3/1 m3 . It's wrong.
  4. Feb 14, 2016 #3
    I am getting conflicting information from my book and from online sources! My book states that 10^6 cm^3 = 1 m^3. ??
  5. Feb 14, 2016 #4


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    Staff: Mentor

    Which are how many zeros?
  6. Feb 15, 2016 #5
    Wow. Can't believe I missed that! Thanks for catching my careless error!!
  7. Feb 15, 2016 #6


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    Staff: Mentor

    Don't bother memorizing that conversion. Just write it like this: 1 = (100cm/m)^3
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