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Coverting ml to m.

  1. May 11, 2015 #1
    Using a graduated cylinder I measured the volume of honey to be 50ml. How do I convert this into meters for the volume to be in meters because it's currently in ml?
     
  2. jcsd
  3. May 11, 2015 #2

    robphy

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    Here's a start: ##1 mL=1 (cm)^3##
     
  4. May 11, 2015 #3
    Ahh thank you. Given what you just said (just checking to be sure) this means that,

    1ml= 1(cm)^3
    50ml=x
    x=50(cm)^3
    in meters
    x=50x10-^6 ?
     
  5. May 11, 2015 #4
    Correct. As 1 cm is 1/100 meter (linear measurement), then for cubic measurements everything is cubed. 100^3 = 1 million or its reciprocal.
     
  6. May 11, 2015 #5

    berkeman

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    Yes. The easiest way to get unit conversions right is by "multiplying by 1"

    [tex]50cm^3 {(\frac{1m}{100cm})^3} = {50*10^{-6}m^3}[/tex]
     
  7. May 11, 2015 #6
    I'll remember. Thanks, much appreciated XD.
     
  8. May 11, 2015 #7

    berkeman

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    Yeah, that trick made a big difference for me at the start of undergrad. That and learning to carry units along in all of my equations and manipulations -- really helped me to avoid (or find) errors. :smile:
     
  9. May 11, 2015 #8

    robphy

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    While multiplying by the "useful expression for 1" is how I used to explain that method of unit conversion,
    I think substitution is better:
    ##50mL=50(1 (cm)^3))=50(1 (10^{-2} m)^3))=50(10^{-6} m^3)##

    Probably the biggest problem is that many students incorrectly interpret ##cm^3## as ##c(m^3)=(10^{-2})(m^3)##.
     
  10. May 11, 2015 #9

    Mark44

    Staff: Mentor

    The volume won't be in meters, which is a measure of length -- it will be in cubic meters, or m3.
     
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