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Baffled, Archimedes is said to have taken an immersion bath and observed from the rise of the water upon entering that he could calculate the volume of the gold wreath through the displacement of the water. The story first appeared in written form in Vitruvius' books of architecture, two centuries after it supposedly took place.
Upon this discovery, he leapt from his bath and ran naked through the streets shouting, "Eureka! From the equation for density (ρ = m/V), mass density has units of mass divided by volume.
In the limit of an infinitesimal volume the density of an inhomogeneous object at a point becomes: In practice, bulk materials such as sugar, sand, or snow contain voids.
Osmium and iridium are the densest known elements at standard conditions for temperature and pressure but certain chemical compounds may be denser.
To simplify comparisons of density across different systems of units, it is sometimes replaced by the dimensionless quantity "relative density" or "specific gravity", i.e.
the ratio of the density of the material to that of a standard material, usually water.
Thus a relative density less than one means that the substance floats in water.
The symbol most often used for density is ρ (the lower case Greek letter rho), although the Latin letter D can also be used.
Mathematically, density is defined as mass divided by volume: although this is scientifically inaccurate – this quantity is more specifically called specific weight.
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