How do nutrients get to the cells in a flatworms solid acoelomate body?

The nutrients get to the cells in a flatworms solid acoelomate body by diffusion process. Flatworms feed primarily on protozoa and bacteria, smaller worms and tiny organisms, dead or alive, that they come across. Based on the species of the flatworms, they also consume plant materials. They rely on diffusion to transport oxygen and nutrients to their internal tissues.