Friday, July 18, 2014

What is the density of a block of marble that occupies 220 cm3 and has a mass of 876 g? Answer in units of g/cm3 .

The density of a substance is given as the ratio of its mass and density. In mathematical terms,


Density = mass/volume.


Since mass has units of grams or kilograms, and volume has common units of mL, L or m^3; the units of density are gm/ml, g/cm^3 or kg/m^3.


In the given case, the mass of marble block is given as 876 gm and its volume is 220 cm^3. The density of the marble block is, thus


Density = mass/volume = 876/220 g/cm^3 


= 3.98 gm/cm^3 


The density is 3.98 gm/cm^3.


Another term related to density, is the specific gravity of a substance. It is given as the ratio of density of the substance to that of water. Since the density of water is about 1 g/cm^3, the specific gravity of the given marble block is 3.98.


Hope this helps.

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