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Fanduekisses

  • one year ago

How to convert 125 cm^3 to m^3?

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  1. Fanduekisses
    • one year ago
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    \[125 cm^3 \rightarrow m^3\]

  2. Fanduekisses
    • one year ago
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    like conversion

  3. DanJS
    • one year ago
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    start with what you are given, and multiply that by ratios of 1, until you get the units you need

  4. Fanduekisses
    • one year ago
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    times 10^-2?

  5. Fanduekisses
    • one year ago
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    1cm is 1m x 10^-2 right?

  6. DanJS
    • one year ago
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    |dw:1443321639394:dw|

  7. DanJS
    • one year ago
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    just do the normal relationship between cm and m, then cube both

  8. DanJS
    • one year ago
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    10^(-2) m = 1 cm cube both sides 10^(-6) m^3 = 1 cm^3

  9. Fanduekisses
    • one year ago
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    so 125 x 10^-6 m^3 ?

  10. DanJS
    • one year ago
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    |dw:1443321895711:dw|

  11. DanJS
    • one year ago
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    the cm^3 unit cancels from numeratior and denominator, so you cant mix up multiplying or dividing by the 10^-6, otherwise the units wont work

  12. DanJS
    • one year ago
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    That is the general way to do any sort of unit conversion, and other things forget about the numbers till the very end, just start with the given, multiply by fractions of 1 so that the units cancel and move towards what you need, may take many more fractions than just 1 used here to change it over ... good luck

  13. Fanduekisses
    • one year ago
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    so it's 125 x 10^-6 m^3 ?

  14. Fanduekisses
    • one year ago
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    thanks. :)

  15. DanJS
    • one year ago
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    long as the units cancel out to leave the right one, the numbers should work themselves out, if you put each ratio value in right

  16. Fanduekisses
    • one year ago
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    |dw:1443322494095:dw| Oh ok what about 7.8 x 10^3 g/L to kg/mL? I tried it

  17. Fanduekisses
    • one year ago
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    |dw:1443322675739:dw|

  18. Fanduekisses
    • one year ago
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    do the "10^3" cancel out even if they aren't in the same unit?

  19. Fanduekisses
    • one year ago
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    Answer key says it's 7.8 x 10^-3 kg/ml

  20. Fanduekisses
    • one year ago
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    oh and the answer key for the first one says it's 125 x 10^-3 m^3 not 125 x 10^6 m^3, why?

  21. DanJS
    • one year ago
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    yeah , that simple, i always just remember how each unit relates to the base unit, then you just have to remember one thing only, like for a mL 1 mL is 10^-3 L i always change the base unit to the other ones, easier to remember i think , maybe not

  22. DanJS
    • one year ago
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    after you get the units right, all you have to do is multiply through all the top numbers, then divide through by all the bottom numbers to get the value

  23. DanJS
    • one year ago
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    |dw:1443322956160:dw|

  24. DanJS
    • one year ago
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    combine all the powers of 10, it simplifies down to 10^(-3)

  25. DanJS
    • one year ago
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    oh yeah just saw what you typed above, yeah you can take care of all the constant numbers all at once , the unit it came from doesnt matter, just think of the unit as another term in the thing tha tis being multiplied to it's number, the thing is just a bunch of multiplication and division, you can do that in any order

  26. Fanduekisses
    • one year ago
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    ohhhh I see know.

  27. Fanduekisses
    • one year ago
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    Thank you! ^_^

  28. DanJS
    • one year ago
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    yep, no prob

  29. Fanduekisses
    • one year ago
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    |dw:1443324302561:dw| I still have a question: I got 125 x 10^-6 m^3 but in my text it says I should get 125 x 10^-3 m^3 ?

  30. Fanduekisses
    • one year ago
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    m^3 *

  31. DanJS
    • one year ago
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    hmm...

  32. DanJS
    • one year ago
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    think the book typed it wrong

  33. DanJS
    • one year ago
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    if you think about mini cubes with sides 1 cm and a huge cube with side 1 m you will calculate that it will take 1 million small cubes to fill the large

  34. DanJS
    • one year ago
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    Volume of both cubes at the time the small cm cubes fill the large m side length cube, 1m*1m*1m = 1 m^3 100 cm * 100 cm * 100 cm = 1000000 cm^3 a million cubic cm to fill a cubic meter or 1*10^6

  35. Fanduekisses
    • one year ago
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    Yeah it must be wrong, well it's not an actual textbook, it's a handout my teacher gave us. Like it must be a typo or something.

  36. DanJS
    • one year ago
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    Did the same thing in the problem, except forget rememboring higher dimension relationships like cm^3 to another length ^3 Relate them in the 1 dimensional way, then cube everything

  37. DanJS
    • one year ago
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    [1 cm] = [10^(-2) m] all you have to remember, or have a prefix chart 1^3*cm^3 = 10^(-2*3) m^3

  38. Fanduekisses
    • one year ago
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    Yeah I just looked at them and studied them. :) mili-10^-3, kilo-10^3, etc, etc. so useful! :D

  39. DanJS
    • one year ago
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    If you are converting from some units like femptometer to Gigameter, take the given femptometer and convert to the base unit meter first, then convert from meter to Gigameter

  40. DanJS
    • one year ago
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    i always do even for ones you can manually think how many powers apart they are

  41. Fanduekisses
    • one year ago
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    yeah.

  42. DanJS
    • one year ago
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    you good for now at least...?

  43. DanJS
    • one year ago
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    i have a sheet somewhere of like 150 ratios of 1 separated into sorta subjects. mostly the English to SI factors

  44. DanJS
    • one year ago
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    just kept keeping track

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