3. What happens to the surface-area-to-volume (SA/V) ratio of a three-dimensional
object (such as a cell) as its linear dimension increases? For example, how does the
SA/Vratio of a sphere or cube change as the linear dimensions increase? (Formulas
for a sphere: surface area = 4r2; volume = 4/3r3.) (Also see Activity 7.1.)
As the linear dimensions of an object increase by two times, the surface area
266 Activity 40.1
Propose the effect(s) the physical properties of diffusion are likely to have on the
structure and function of epithelia and epithelial cells and digestive and circulatory
systems as animals become larger and larger. In your answer, consider how SA/V ratios
change as organisms become larger and the effect(s) this change is likely to impose on the
structure and function of organisms.
See the description of various types of epithelial cells in Chapter 40 of Campbell Biology,
9th edition. Also, refer to Figure 40.5. In general, barrier-type cells are columnar and have
40.1 Test Your Understanding