12 cm3 of Mercury is more dense than 7 cm3 of Hydrogen (at the same Temperature and Pressure), so 12 cm3 is more dense than 7 cm3.
Whereas 12 cm3 of Hydrogen is less dense than 7 cm3 of Mercury (at the same temperature and pressure), so 7 cm3 is more dense than 12 cm3!
Density depends upon the mass of the substance contained in the volume, so given two volumes, no statement can be made about the relative densities of those volumes without any knowledge of the mass of the volumes: density = mass/volume.
Knowing the densities of the substances of the volumes, the volume is immaterial as the density is the same - density is the mass per unit volume.
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7*12*6 = 504 cm3
A cylinder with a radius of 7 centimeter and a height of 12 centimeter has a volume of 1,847.26 cm3.
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density = mass/volume In your example, density(object) = 5.5/7 g/cm3 = 0.8 g/cm3. Note that I rounded the last number to one significant decimal, as the volume (7 cm3) is specified with only one significant decimal. A volume of 7 cm3 varies between 6.5 cm3 and 7.4 cm3, and the answer conforms to a "good estimate". If the volume had been specified as 7.0 cm3, then the answer would be different, namely density(object) = 5.5/7.0 g/cm3 = 0.79 g/cm3, rounded to two significant decimals, as we now have assumed more accuracy, the answer is also a "better estimate", because in the first case, the answer would actually range between 5.54/6.50 = 0.852 and 5.45/7.49 = 0.728 (which average to exactly 0.79, please check this). <Feb 18, 2014 - B.C.>
The fraction 7/12 cannot be reduced any more.