1Average human cell measures 30umIf you lined up human skin

1.Average human cell measures 30um.If you lined up human skin cells side-by-side, how many would fit along the length of the paperclip? Justify your answer with math.

2. Using your response to item 1 above, if you lined up TMV particles end to end, how many would fit
along the length of the same paperclip? Justify your answer with math. 1 TMV particle has 200nm

3. If you lined up TMV particles end to end, how many would fit across
the diameter of the average human skin cell? Justify your answer with math.

Solution

Please find the answers below:

Part 1: According to the information,

the average size of a human cell : 30 um or 30*10^-6 m

The average size of a paper clip : nearly 3 cm or 0.03m

Thus, number of cells required to be aligned side-by-side to a paper clip would be: 0.03/30*10^-6 OR 10³ cells.

Part 2:

The average length of the TMV particle is : 200nm or 200 * 10^-9m

Thus, the number of TMV particles required to align along the paper clip would be: 0.03/200 * 10^-9

or 15*10⁴ particles.

Part 3: The average diameter of the human skin cell considering the cell is spherical in shape is : 30um

Average particle size of a TMV: 200 * 10^-9m

Thus, the number of TMV particles that would align across the human skin cell\'s diameter : 30*10^-6/200 * 10^-9

Or, 150 particles.