As my eighth grade algebra teacher Mrs. Hamner used to scold me, please show your work!
Meanwhile, I'll show mine:
First show that the cross-section you are using in your sizing argunent is correct and based on an official side view.
Greetings, Earthlings...
Been without internet for a week or so...
Instead of a drawing, I decided to start with photos of the model. The Enterprise Project at
www.startrekmovie.com has the best ones I could find. The first photo of Number 23 is the closest to an ortho side view, even though it's painted gloss black with Jim Lee art across the top of the saucer hull...
I also decided to work with the premise that, if the storyline of the new movie had not involved changing history, this design would still be the original configuration of the Constitution class, which would have been refitted to the slightly-larger TOS version, just as the TOS Enterprise was itself refitted to the again slightly-larger TMP version...
(I suppose this now makes the TOS Enterprise the Constitution Refit and the TMP Enterprise the Constitution Second Refit...)
One thing I have found is Federation ships (and by extension the ships of other races whose members are portrayed on screen by humans wearing various forms of latex makeup on their faces) seem to have a Standard Deck Height, which remains consistent through most of Star Trek history. According to official sources (video footage and the Star Trek Encyclopedia), I have been able to confirm the number of decks some ships have, as well as the height of the inhabited areas (the hull, not including warp nacelles and other protruding equipment like sensor instrument domes) of those ships...
The Constitution class has 21 decks with a total deck height of 68.9 meters. Average deck height is 3.281 meters.
The Galaxy class has 42 decks with a total deck height of 137.5 meters. Average deck height is 3.274 meters.
The Sovereign class has 24 decks with a total deck height of 78.6 meters. Average deck height is 3.275 meters.
The average of these is 3.277 meters, or about 10 feet 9 inches.
In this photo I screen captured, the bridge superstructure is one Standard Deck (14 pixels equals 3.277 meters) and the outer rim of the saucer hull is two Standard Decks (28 pixels equals 6.554 meters). At this scale, the photo's length of 1168 pixels works out to 273.395 meters, which I rounded off to 273.4 meters (15.2 meters or about 50 feet shorter than the TOS Enterprise).
I realize this would make the shuttle bay doors something like 18 feet high. That's just another one of the many MANY wonderful inconsistencies we have all come to know and love from Star Trek which have kept debates like this going on for decades...
Yep. I thought it'd be huge.
--Alex
273.4 meters works out to 897 feet. That's 25 feet longer than an Essex class aircraft carrier and 10 feet longer than an Iowa class battleship. Trust me... Those things ARE huge...