I need help with question 19 on nested cubes for my cell and

I need help with question 1-9 on nested cubes for my cell and molecular biology class. Thanks.

1 mm A cube with volume 1 mm In this cube, there are 1000 cubes with volume 10 Hm3 100 Kim Q1. What organ did you choose to draw and what biological process is the organ a part of? Q2. How many eukaryotic cells can fit in 1 mm Assume the average volume of a karyotic cell is 103 Hm 3. eu.

Solution

We would draw blood. It is also consider as organ which has variable sizes because of fluidity. Blood functions as carrier of oxygen, CO2, wastes, regulatory molecules and nutrients, maintains body’s pH and water balance. It also functions as blood clotting.

In 1 mm³ there is number of eukaryotic cells are:

Size of one eukaryotic cell = 10³ um³, 1 um = 10^-3 mm so 1 um³ = (10^-3)³ mm³ = 10^-9 mm³

So number of cells are = size of cube/ size of one cell

Number of cells = 1 mm³/ 10^-9 mm³ = 10⁹ cells

The fraction of extracellular matrix: Size of cube - total size of1000 cubes

Size of cube (A) = 10³ um³

The cube has 1000 cubes (X) of 1 um³; so the total size covered by these cubes (X) is

= 1000 x 1 um³ = 10³ um³

So there is no space for extracellular matrix because 10³ um³ -10³ um³ = 0

There is one eukaryotic cell can reside in the 10³ um³ size cube because

Number of cells are = size of cube/ size of one cell

= 10³ um³/ 10³ um³ = 1