- I know the US contains hundreds of millions of people, and the world contains a single-digit number of billions. So the US has about 10% of the world's people.
- The US probably isn't particularly dense or sparse relative to other populated areas, so 1/10 the population should be 1/10 the Earth's land area.
- The Earth has twice as much ocean as land, and
- The ocean is a few miles deep - let's say 5 - so there's about 10 miles of ocean depth per land area.
- So compressing that to 1/10th the land area suggests the oceans should cover the US to a depth of about 100 miles.
The exact answer, it turns out, is about 89 miles - really close, without looking up a single piece of information!
https://www.wolframalpha.com/input?i=%28332%2C500%2C000+cubi...