It is a direct application of Archimedes' principle, that an object displaces its own volume of water.
The procedure, pioneered by Behnke, Feen and Welham as means to later quantify the relation between specific gravity and the fat content,[1] is based on Archimedes' principle, which states that: The buoyant force which water exerts on an immersed object is equal to the weight of water that the object displaces.
In either of the examples above, the correct density can be calculated by the following equation:[2] Where: The residual volume in the lungs can add error if not measured directly or estimated accurately.
Residual volume can be measured by gas dilution procedures or estimated from a person's age and height:[3] These estimates are for adults aged 18-70, have standard deviation of about 0.4 litres and have dependence on ethnicity, environmental factors, etc.
[4] Residual volume may also be estimated as a proportion of vital capacity (0.24 for men and 0.28 for women).