Where dozens, maybe even hundreds of servings of a single potion are brewed at a time. The unspoken implication is crystal clear: any world where cauldrons are heavily associated with potion-making is a world where potions are almost always brewed in bulk. a potion where a single serving size looks like this: And yet in, say, Harry Potter, we're told that on Harry's first day of potions class in the sixth book, Professor Slughorn had a "large, bubbling cauldron" of Felix Felicis on display for the class. Even if we assume half a liter, about the size of a commercial water bottle you'd find for sale at a deli or pizza place, is an appropriate serving size of the average potion, then even tiny cauldrons, when filled with potion ingredients, would make at least a dozen servings of such a thing. Even the small ones for personal use, as far as I can tell, can hold a lot of liquid. Whether it be witches standing over a cauldron big enough to boil someone alive in and stirring it with a big stick, or more reasonably-sized personal cauldrons in, say, Harry Potter, potions are very, very frequently being brewed in these bulky, thick metal pots, to the point that some people don't realize they ever historically saw mundane use. Potion brewing is almost inexorably tied to the image of a cauldron. Rather, this is a general point of curiosity that occurred to me while brainstorming my story. This isn't a question intended for any specific setting.
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