I've built multiple home theater setups using 3" full ranges in a TQWT (tapered quarter wave tube), high-order ported, and tapped horn enclosures. There's not enough space to really get solid extension from a 3" woofer (80-100 Hz, which is still not sub bass).
If anything this is a tricked up double-reflex setup like this one, which uses a 4" driver and has an internal volume of about 1 cubic foot. If you sacrifice the behavior of the upper frequency band, maybe you could shave some space from one chamber or the other.
The joy of cabin gain (amplification of low frequencies due to a confined vehicle volume) ...
Edit: It does appear that 3" subwoofer technology has improved. A precise installation of this:
LINK to Tang Band W3 Subwoofer might actually play down to 50 Hz, and the cabin gain would boost the bottom octave enough to sound decent. This is actually rather inspiring, if someone wants to DIY.