Chapter 8.3, Problem 60PS

a. Guess what percentage of the world’s population could be packed into a cubical box measuring $\frac{\text{1}}{\text{2}}\text{mi}$ on each side. [Hint: The volume of a typical person is about $2\text{cu}\text{ft}$]

b. Now calculate the answer to part a, using the earth’s populations as given in problem 59

59. The total human population of the earth is about $6.2\times {10}^9$.

The total human population of the earth is about $6.2\times {10}^9$.

a. If each person has the room of a prison cell $\left(\text{50}\text{sq}\text{ft}\right)$, and if there are about $\text{2}\text{.8}\times {\text{10}}^{\text{7}}\text{sq}\text{ft}$ in a square mile, how many people could fit into a square mile?

b. How many square miles would be required to accommodate the entire human population of the earth?

c. If the total land area of the earth is about $5.2\times {10}^7\text{sq}\text{mi}$, and if all the land area were divided equally, how many acres of land would each person be allocated $\left(\text{1}\text{sq}\text{mi}\text{=}\text{640}\text{acres}\right)$?