I'm really interested as to why you two consider a fictional space ship a good "underbelly feeling" measure of size. I like Star Trek, but I have absolutely no feeling for the size of the Enterprise. I'd believe it if you said it was 3km long, but also if you said that it was 400m long.
Not meant as a harsh criticism though, I like the math and the geekiness :)
Personally, I'd say I have a better feeling for "starship enterprises" or "battroids" [0] in terms of length or height than the ubiquitous "football fields" or "empire state buildings".
Both those fictional measures are things I've visualized being inside of or next to countless times. I can't say the same about the other two.
I remembered it has around 700m, but didn't remember the exact figure. You could probably also ask either of us about the inner workings of transporter or the warp field dynamics ;). It's a geek thing.
You spend too much time with something, it feels natural to you ;).
Not meant as a harsh criticism though, I like the math and the geekiness :)