jim mcnamara said:
To elaborate on this one a bit:
In traditional comparative metabolic principles and biophysics the ratio of body volumes to surface areas are an enduring analytic approach.
The volume (or mass) of a organism often scales with the metabolic needs of an organism (in this case an increased need for more oxygen and nutrients and removal of CO
2 and other wastes).
As volume increases, there are more cells using more resources (which must be resupplied somehow) and producing more wastes (which must be removed). Yet the transfer of such materials has to occur at some point through surfaces interfacing the organism and the external world (source of resources and dump site).
A sphere would be the simplest example. As its size increases linearly, its volume (representing its metabolic requirements) would increase as a cube function of its length, while is surface area (representing its ability to transfer materials in and out of the organism) would increase only a square function). Eventually, as size increases, limitations are eventually met.
Gills and lungs (as well as kidneys, the digesting system, and other things) have elaborated their surface areas (folded, invaginated, or branched) so they are able increase their surface area beyond what it would be for simple geometric shapes.
Surface areas are the material window (or door) to the organism.