Question

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

Answer 1

To find out how many cells there are in a cubic centimeter, divide the volume of a cubic centimeter (1,000,000 micrometers cubed) by the volume of a single cell (100 micrometers cubed); the result is 10,000 cells per cubic centimeter.

Step-by-step explanation:

To calculate the number of cells in a cubic centimeter, we need to understand a few measurements and their relationships. First, we know that the volume of an average cell is 100 cubic micrometers (µm³). Since a cubic centimeter (cm³) is a unit of volume, it's essential to note that 1 cm³ is the same as a milliliter (mL), which is also equivalent to 1,000,000 cubic micrometers because there are 1,000 µm in a cm, and thus, when cubed, 1,000³ is 1,000,000.

Knowing these conversions, we can determine the number of cells in one cubic centimeter by dividing the volume of a cubic centimeter (1,000,000 µm³) by the volume of one cell (100 µm³). Therefore, the calculation is:

1,000,000 µm³/cm³ ÷ 100 µm³/cell = 10,000 cells/cm³.

Hence, there are 10,000 cells in one cubic centimeter of volume.