In multicellular organisms, the division of labor provided by these bodies grouped into specialized devices imposes a number of constraints.
One of the constraints is that it is necessary for all cells in the body to be well supplied with both nutrients and oxygen. The transition to multicellularity requires the establishment of a circulatory system and a respiratory system for the supply and purification systems for the disposal of waste.
The amount of oxygen required to breathe depends on:
Ratio surface / volume plus it is small and the intake by the respiratory system must be important.
The depth of the cells, which evolves proportionally with the oxygen supply required.
The number of cells that also evolves proportionally with the oxygen supply required.