HBD3 asked in Science & MathematicsPhysics · 9 years ago

How do you convert 12.6g/cm^3 to kg/m^3?

I did 12.6g/cm^3 * 1,000,000cm^3/m^3 * kg/1000g = 12,600kg/m^3 which I know is wrong

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  • 9 years ago
    Favorite Answer

    12.6 g/cm^3 * (1 kg / 1000 g) * (100 cm / 1 m) ^3

    (grams cancel out, but we'll leave the (100 cm / 1 m)^3 term in case you don't understand)

    = 0.0126 kg/cm^3 * (1000000 cm^3 / 1 m^3)

    this is because everything in the (100 cm / 1 m) term is cubed

    = 12600 kg/m^3

    though, due to significant figures, it's more properly

    1.26*10^4 kg/m^3

    Your answer was right, except perhaps that it wasn't in scientific notation because you should account for significant figures. What made you think you were wrong?

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  • Anonymous
    9 years ago

    Actually you are correct.

    I prefer to use scientific notation to avoid possible errors

    (12.6 g/cm^3)(1.00 x 10^2 cm/m)^3 (1.0 kg/1.00 x 10^3 g) = 12.6 x 10^3 kg/m^3

    = 12,600 kg/m^3

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  • 9 years ago

    no, it's correct.

    1 g = 10^-3 kg

    1 cm^3 = 10^-6 m^3

    then, 12.6 g/cm^3 = 12.6 * 10^-3 kg / (10^-6 m^3) = 12.6 * 10^-3 * 10^6 kg/m^3 = 12.6 * 10^3 kg/m^3

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  • 9 years ago

    You are correct:

    12.6g----|--(100)^3 cm^3--|--1 kg

    -----------------------------------------------

    1 cm^3--|------1^3 m^3-----|-1000g

    = 12, 600 kg/m^3 or 1.26 x 10^4

    professional calculation by google confirms it: http://www.google.com/search?aq=f&sourceid=chrome&...

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  • Eric H
    Lv 7
    9 years ago

    With great care.

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