That's correct, the Corolla and Prius are similar, but if you pile things high in the Prius it has more space for cargo. I would not do that due to the safety concern of luggage flying forward in a fast stop.
The Prius has a lot of passenger Cu Ft. forward of the dash, which is unusable. Having been a passenger in both, with two & three others, I suggest they are similar for practical purposes. As for the driver the previous Corollas didn't fit me comfortably; I'm
5'-11". A similar height friend of mine who has the previous Corolla confirms that it wouldn't fit me very well as a driver, his shorter wife drives his. I've not tried the new Corolla for size.