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Simple conversion problem

  1. Aug 27, 2015 #1
    1. The problem statement, all variables and given/known data
    The density of water is given to be 1000kg/m^3 use unit conversion to show a cube of water with a side length of 10cm has a mass of 1kg.

    2. Relevant equations
    mass=volume x density

    3. The attempt at a solution
    1000kg/m^3*1000cm^3*1m/100cm*1m/100cm*1m/100cm=.01kg all meters and centimeters should cancel only leaving kilograms and the 1000cm^3 is the volume of the cube if each side is 10cm. So if you use the formula and multiply the volume and density then cancel the length units I should get 1kg according to the book but I'm 10 times too small. What did I do wrong?
     
  2. jcsd
  3. Aug 27, 2015 #2

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    Try separating the operations with parentheses. Might help to put away the calculator --- it's all powers of 10.
     
  4. Aug 27, 2015 #3
    Thanks for the reply but I tried that and I still get the wrong answer
     
  5. Aug 27, 2015 #4

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    One step at a time, then; "100x100?"
     
  6. Aug 27, 2015 #5
    Ah yes I see thanks for your help the actual problem was that when I did 10000/100 it gives 100 but I thought that I didn't hit the button because it looks like the 100 never changed so it was a weird mistake on my part.
     
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