Everyone on Earth would fit in a cubic mile

Really. You could put the entire population of the Earth in a space one mile wide, one mile deep, and one mile high (one cubic mile). We'd all fit in one small corner of the Grand Canyon, which would take about 2500 cubic miles of dirt (or people) to fill.

How do we know? One cubic mile is 147,197,952,000 cubic feet. If, on average, one human being takes up a space 2 feet by 2 feet by 6 feet it means we occupy 24 cubic feet per person. Sure, kids will have extra room and some of us will be a bit squished (or a lot if you're a flabby American); but on average that's about right.

So divide 147,197,952,000 by 24 and you get 6,133,248,000, which means that in the year 2000 when the world population reached 6 billion we'd all have fit in a cubic mile, with room left over for another 133 million folks. The population now has reached over 6.7 billion so today there'd be a little overflow.


But now consider this. If we all stood side-by-side, shoulder to shoulder (and use the same 2 foot width per person), all 6.7 billion of us could make a line around the Earth over 102 times!

Our brains are pretty well equipped to deal with liner measures (rows of corn, lines of wildebeest), but we're easily befuddled by cubic measures. We intuitively know that a line at Starbucks with 6.7 billion people in it would be a long one. But it's hard to imagine that we could pile all those people on Chicago's O'Hare Airport and the pile would only be 500 feet deep.

TH

Comments

Lynn Ellsworth said…
I want to end-up on the top of the cubic mile!
Unknown said…
Technically, you could fit more if you increase the air pressure. The human body can handle high pressure so long as it's gradual and uniform. You might be able to shrink it down by 12-8%.
Unknown said…
Your measurement is wrong because you have assumed humans can butt up like Lego blocks. You have to measure empty space as well, so assuming we are not Lego blocks. Considering an average of 8 inches on either side of the head and the shoulder to finger tip area that does not exist below finger tips and then if your feet are up, the above gap and if your feet are down then the below gap for all full limbed humans. Yeah sorry this is a completely misleading assumption. Your not accounting for all anomalies nor factors. I would consider you the befuddled one.
Tom Harnish said…
@Unknown: I assumed 2 feet by 2 feet, so I think we're close if you assume 8 inches on either side of a head (average 9" so 8+9+8=25; I used 24). Beyond that, I have no clue what you're going on about with "...and the shoulder to finger tip area that does not exist below finger tips and then if your feet are up..." If what you're saying is that we taper in toward the bottom, then I completely agree, but I assumed we fit in a box not an inverted pyramid, which made my assumption more conservative. Was i wrong?

Popular posts from this blog

Your DNA would reach the moon

Just 1 second of the Sun's energy output would power the US for 9,000,000 years

Earth's curve tilts bridges