# Cell Area and Volume

## Show all your work, units and calculations.

1. Calculate the surface area, volume and the ratio of surface area to volume for a bacterium. Assume the bacterium is a cube 1 µm on a side.

surface area | volume | surface area / volume |
---|---|---|

2. Calculate the surface area, volume and the ratio of surface area to volume for a human cell. Assume the cell is a cube 10 µm on a side.

surface area | volume | surface area / volume |
---|---|---|

3. Contrast the surface area of the eukaryotic cell to the total surface area of all the bacteria in a colony that would have the same volume as the eukaryotic cell.

4. As cells increase in size the cell volume increases as the cube of the length (length^{3}). Each unit of cell volume has nutrient and respiration gas requirements. The surface area will increase as the square (length^{2}). All the cell's nutrients and respiration gases must travel through the cell surface. Discuss why this sets a limit to the maximum size of a cell.