Assume that an average cell has a diameter of 6 micrometers (6*10^-6 meter), which means it has a volume of 100 cubic micrometers. How many cells are there in a cubic centimeter?

Let 'x' represent the number of cells.

1 m = 100 cm

1 m^3 = 10^6 cm^3

1 cm^3 = 10^(-6) m^3

100 cubic micrometers = 100*(10^(-6))^3 m^3

100*(10^(-6))^3 m^3 divided by 10^(-6) m^3 is:

100*(10^(-6))^3 / (10^(-6)) = 100*10*(-12) = 10^10

There are 10^10 cells in one cubic centimeter.