Size is a measure of volume, not length, AFAIK
Thank you.
Seeing as Toady has already posted information regarding tile size, I believe dwarven volume units are a more interesting topic. Instead of making assumptions about dwarven ants, let's stick with the sperm whale (This is mainly because the volume of different ant species varies by several thousand percent).
The average size of sperm whale is 200 000 000 dvu (dwarven volume units). Let's compare that to the volume of a real sperm whale. Seeing as I was unable to find this, I'll make a rough estimate.
The average male sperm whale weighs around 41 000 kilograms. Assuming a sperm whale has around the same body density as a regular human, we can make a rough estimate of the male sperm whale's volume using the formula V = m/ρ.
m = 41 000 kg
ρ = 1 062 kg/m
341 000 / 1 062 = ~39 m
3The female sperm whale weights around 14 000 kilograms, so we can make the following rough estimate about the female sperm whale's volume, assuming it has around the same body density as a human:
m = 14 000 kg
ρ = 1 062 kg/m
314 000 / 1 062 = ~13 m
3If we assume Toady based the dvu on the male sperm whale, a dvu would be:
39 / 200 000 000 = 0,000000195 m
3, or 0,195 cm
3, which means that a dwarven ant, assuming it is a cube, would be almost 6x6x6 mm.
If we instead assume Toady based the dvu on the female sperm whale, a dvu would be
13 / 200 000 000 = 0,000000065 m
3 or 0,065 cm
3, and a dwarven ant, assuming it is a cube, would be around 4x4x4 mm.
Obviously, ants aren't cubes, but that's not really the point.
Also, the text above is probably overflowing with mathematical errors. Feel free to point them out if you do notice any. I'll just blame it on the fact that I'm on vacation.
Oh, and sorry for going off-topic.