Density of a substance is defined as the mass of the substance per unit volume of the substance. There can be different units of density depending the units used for measuring mass and volume. For example, in British units usually mass is measured in pounds and volume is measured in cubic foot. Therefore in British system of measurement the density may be measured in terms of pounds per cubic foot.
In metric system, the density is usually measure in terms of either mass in kg per cubic meter of volume (kg/m^3), or mass in grams per cubic centimeter of volume(g/cm^3). Thus when we say that water has a density of 1000 kg/m^3, it implies that 1 cubic meter of water has mass of 1000 kg. We can convert density in kg/m^3 to density in g/cm^3 by converting kg to g and m^3 to cm^3 using appropriate factors.
As 1 kg = 1000 g, and 1 m^2 = 1,000,000 cm^3, we will need to multiply the density in kg/m^3 with 1000, and divide it by 1,000,000 to arrive at density in g/cm^3. Thus:
Density of water in g/cm^3 = (Density of water in kg/m^3)*1000/1000000
= 1000*1000/1000000 = 1 g/cm^3
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