008 - Surface Area to Volume

Cell Size and Efficiency Science 10

  • The cell must be able to carry out all life processes

  • Transport of materials into and out of the cell is critical

  • Cell membrane is the barrier to free exchange between the outside environment and the cytoplasm

  • Ability to transport materials must be kept at a maximum

The Ratio of Surface Area to Volume

  • If a cell becomes larger, more molecules need to be transported across the cell surface

  • Distance any molecule has to travel from the cell surface will increase

  • Greater surface area is needed to match the increased need for molecule transport

  • Calculate the surface area to volume ratio for different cell sizes

What do these terms mean?

  • Area

  • Surface Area

  • Volume

  • Ratio

Calculating the Surface Area to Volume Ratio

  • A cube has 6 square faces, each with an area of s^2

  • Surface Area of a cube: A = 6s^2

  • Volume of the cube: v = s^3

  • Surface Area to Volume ratio of the cube

Practice Problems

  • Determine the surface area to volume ratio for cubes with different side lengths

The Size and Shape of Organisms

  • Limited opportunities for intake of needed materials and expulsion of wastes if very little surface is available

  • Inability to take in enough nutrients or remove poisons quickly can affect cell function

  • Bigger is not always better for cells

Maximizing Potential

  • Each individual cell needs the greatest possible surface area in relation to volume

  • Large organisms are multicellular to maximize potential