How does this model support the conclusion that cells need to have a high amount of surface area relative to their total volume?

Answer:
Due to increase of surface area, the nutrients move efficiently inside the cell.
Explanation:
The cells need to have a high amount of surface area as compared to their total volume because with increase of surface area, the nutrients move efficiently inside the cell. A large surface area to volume ratio indicates that the cell can be efficient in moving nutrients and waste materials around using through the process of diffusion but when the volume increases instead of surface area, the efficiency of the cell decreases, and cells won't be able to do its job efficiently.