233k views
4 votes
The population density of Tokyo is 6,158 people per square kilometer. Use dimensional analysis to calculate how many people would live in the nation of Japan, which comprises an area of approximately 378,000 square km, if the entire nation was as dense as the city of Tokyo: ___________.

1 Answer

5 votes

Final answer:

If the entire nation of Japan had the same population density as Tokyo, which is 6,158 people per square kilometer, it would have approximately 2.33 billion people, as calculated by multiplying the density by Japan's area of 378,000 square kilometers.

Step-by-step explanation:

To calculate how many people would live in Japan if the entire nation had the same population density as Tokyo, we use the given population density of Tokyo and multiply it by the total area of Japan. The given population density of Tokyo is 6,158 people per square kilometer, and the area of Japan is approximately 378,000 square kilometers.

To perform the dimensional analysis, we set up the following calculation:

  • 6,158 people/square km × 378,000 square km

When we multiply the population density (people per square kilometer) by the area (square kilometers), the square kilometers units cancel out, leaving us with the number of people:

  • 6,158 × 378,000 = 2,327,724,000 people

So, if the entire nation of Japan had the same population density as Tokyo, it would be home to approximately 2.33 billion people.

User Masood Sadat
by
7.8k points