Cell Size

AP Biology· difficulty 3/5

Three agar cubes (1, 2, 3 cm sides) in 0.1 M NaOH.

Side SA (cm2) V (cm3) SA:V 1 cm 6 1 6.0 2 cm 24 8 3.0 3 cm 54 27 2.0 SA:V ratios

Which biological principle does this experiment illustrate?

  • A

    Diffusion does not depend on geometry

  • B

    Cubic cells exist in nature

  • C

    Cells must remain small (or have folded membranes) to maintain efficient exchange with their environment

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  • D

    Larger cells have higher diffusion rates

Explanation

As size increases, volume grows as L^3 while surface as L^2. The decreasing SA:V ratio limits exchange efficiency. This is why cells are small or have specialized surface elaborations (microvilli, alveoli, root hairs) to maintain exchange.

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