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1 February, 22:23

You would like to know whether silicon will float in mercury and you know that can determine this based on their densities. unfortunately, you have the density of mercury in units of kilogrammeter3 and the density of silicon in other units: 2.33 gramcentimeter3. you decide to convert the density of silicon into units of kilogrammeter3 to perform the comparison. by which combination of conversion factors will you multiply 2.33 gramcentimeter3 to perform the unit conversion?

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  1. 1 February, 22:52
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    The answer is 1000

    Density formula is weight/volume, so the unit should be gram/centimeter^3. To convert gram/centimeter^3 into kilogram/meter^3, the conversion factors would be:

    (gram/centimeter^3) / (kilogram/meter^3)

    = (gram/kilogram) / (centimeter^3/meter^3)

    = (gram / 1000gram) / (centimeter^3 / 100^3 centimeter^3)

    = (1/1000) / (1 / 100^3)

    = 1,000,000/1000 = 1,000
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