Structure and Function in Cells
Use cell shape, membranes, and internal support to explain function.
Surface Area, Volume, and Exchange
Objective: Explain why shape and size affect exchange.
As a cell’s linear dimensions increase, its surface area grows with the square of size while volume grows with the cube. Thus surface-area-to-volume ratio generally declines as similarly shaped cells enlarge. Membrane surface area can constrain exchange relative to cellular demand, although actual rates depend on transport mechanisms, gradients, and activity. Folds and projections can increase surface area without the same proportional increase in volume. The ratio is a useful model, not a single universal maximum cell size.
Worked examples
Try itFor similarly shaped cells, what happens to surface-area-to-volume ratio as size increases?Show answer
It generally decreases. Volume grows with the cube; area with the square.
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