2.2.2

Cell Size & Surface Area

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Cell Size

Small size, in general, is necessary for all cells, whether prokaryotic or eukaryotic.

Cell size

Cell size

  • At 0.1 to 5.0 μm in diameter, prokaryotic cells are significantly smaller than eukaryotic cells, which have diameters ranging from 10 to 100 μm.
  • The small size of prokaryotes allows ions and organic molecules that enter them to quickly diffuse to other parts of the cell.
  • Similarly, any wastes produced within a prokaryotic cell can quickly diffuse out.
    • This is not the case in eukaryotic cells, which have developed different structural adaptations to enhance intracellular transport.
Importance of size

Importance of size

  • Small size, in general, is necessary for all cells, whether prokaryotic or eukaryotic.
  • Let’s examine why that is so.
  • Not all cells are spherical in shape, but most tend to approximate a sphere.
    • You may remember from geometry that the formula for the surface area of a sphere is 4πr2, while the formula for its volume is 4πr3/3.
  • Thus, as the radius of a cell increases, its surface area increases as the square of its radius, but its volume increases as the cube of its radius (ie much more rapidly).
Importance of size - 2

Importance of size - 2

  • So, as a cell increases in size, its surface area-to-volume ratio decreases.
  • This same principle would apply if the cell had the shape of a cube.
    • If the cell grows too large, the plasma membrane will not have sufficient surface area to support the rate of diffusion required for the increased volume.
  • In other words, as a cell grows, it becomes less efficient.
  • One way to become more efficient is to divide; another way is to develop organelles that perform specific tasks.
    • These adaptations lead to the development of more sophisticated cells called eukaryotic cells.
Importance of size - example

Importance of size - example

  • Notice that as a cell increases in size, its surface area-to-volume ratio decreases.
    • When there is insufficient surface area to support a cell’s increasing volume, a cell will either divide or die.
  • The cell on the left has a volume of 1 mm3 and a surface area of 6 mm2, with a surface area-to-volume ratio of 6 to 1, whereas the cell on the right has a volume of 8 mm3 and a surface area of 24 mm2, with a surface area-to-volume ratio of 3 to 1.
Size & survival

Size & survival

  • As mentioned before, most cells are approximately spherical in shape.
  • A sphere is the shape with the largest surface area-to-volume ratio.
  • As nutrients diffuse into the cell, a sphere is the shape where nutrients would have to travel the least distance to reach the center.
    • This is important because nutrients and wastes are always exchanged at the periphery of the cell.
  • The shorter the distance these nutrients and wastes have to travel, the faster the exchange of these molecules are.
Jump to other topics
1

Unity & Diversity - Molecules

2

Unity & Diversity - Cells

3

Unity & Diversity - Organisms

4

Unity & Diversity - Ecosystems

5

Form & Function - Molecules

6

Form & Function - Cells

7

Form & Function - Organisms

8

Form & Function - Ecosystems

9

Interaction & Interdependence - Molecules

10

Interaction & Interdependence - Cells

11

Interaction & Interdependence - Organisms

12

Interaction & Interdependence - Ecosystems

12.1

Populations & Communities

12.2

Transfers of Energy & Matter

13

Continuity & Change - Molecules

14

Continuity & Change - Cells

15

Continuity & Change - Organisms

16

Continuity & Change - Ecosystems

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