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31 August, 11:11

An object has a mass of 0.0124kg and a volume of 1893mm3. What is its density in grams per cubic centimeter?

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  1. 31 August, 11:38
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    6.25*10⁻⁶ g / cm³

    Explanation:

    Density is the relation between mass and volume as this formula shows.

    Density of a compound = Mass of the compound / Volume of compound

    In the values, we were given:

    0.0124 kg / 1983 mm³ = 6.25*10⁻⁶ kg/mm³

    This number means that in a volume of 1 mm³ of compound, the mass of it occupies 6.25*10⁻⁶ kg. Let's make a rule of three:

    1 cm³ = 1*10⁻³ mm³

    In 1 mm³ we have 6.25*10⁻⁶ kg of compound

    So in 1*10⁻³ mm³ we would have (1*10⁻³ mm³. 6.25*10⁻⁶ kg) / 1 mm³ =

    6.25*10⁻⁹ kg

    Now let's convert the kg to g.

    1 kg = 1000 g

    6.25*10⁻⁹ kg. 1000 = 6.25*10⁻⁶ g

    Finally density is : 6.25*10⁻⁶ g / cm³
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