Answer:
Step-by-step explanation:
From the information given:
a human brain weighs = 1 kg ; = 1000 grams
Number of cells = 10¹¹ cells
The density of water filled in each cell = 1 g/mL
From above;
the weight of each of the brain cell = total weight of the human brain/the number of cells
the weight of each of the brain cell = 1000/10¹¹
the weight of each of the brain cell = 1 × 10⁻⁸ grams
Now, to calculate the quantity of water in each cell; we have:
= the weight of each brain × density
= [tex]1 \times 10^{-8} \ g \times \dfrac{1 \ mL}{1 \ g}= 1 \times 10^{-8} \ mL[/tex]
For cube; we know that
1 mL = 1 cm³
Thus:
[tex]1 \times 10^{-8} \ mL= 1 \times 10^{-8} \ cm^3[/tex]
Recall that; the volume of a cube as well = [tex]x^3[/tex]
where;
x = length of each sides
∴
[tex]x^3[/tex] = [tex]1 \times 10^{-8} \ cm^3[/tex]
[tex]x = \sqrt[3]{1 \times 10^{-8}}[/tex]
x = 0.0022 cm
Thus, the length of each side of the cell = 0.0022 cm
The surface area of a single cell = x²
The surface area of a single cell = (0.0022 cm)²
The surface area of a single cell = 4.84 × 10⁻⁶ cm²
Therefore, the total surface area of is:
[tex]1 \times 10^{11} \ cells \times \dfrac{4.84 * 10^{-6} \ cm^2}{1 \ cell}[/tex]
= [tex]4.84 \times 10^5 cm^2[/tex]
= [tex]5.0\times 10^5 cm^2[/tex]
= 50 m²
