Ridiculously hungry newborn

Does she have a dummy? Babies who have bottle instead of breast often don’t get enough sucking time - a dummy can help with that

Some babies are just very hungry. 3-4 weeks is often a growth spurt as well, so that's probably making her hungry.

She'll either stop when she's full or she'll be sick. If she's asking for a bottle and not throwing it back up, then just carry on feeding her - that's the entire point of feeding on demand.

Could also be reflux as drinking the milk soothes the burning

Does she sleep much overnight?

How much does she have in 24 hours?

Silent reflux has no sickness

My last baby was breastfed and just didn’t stop for the first ten weeks! Normal cluster feeding. I wasn’t worried as my first cluster fed for the first seven weeks.

At four weeks this may well be normal but always check with a medical profession if you’re worried.

All the advice is to formula feed on demand as you would a breast fed baby. If she’s hungry she’s hungry. You can’t leave a baby to cry, that’s for sure. Four weeks is very young, they can go longer without milk as they get older.

Probably silent reflux. Try feeding little and often rather than big bottles as either way she will ask for more after an hour or two. Also tell the GP she is struggling and ask to try gaviscon. Or you could try an anti reflux formula.
Some babies are just quite hungry but she shouldn’t be having double the recommended amount. It’s probably that she is feeling the burning sensation from the reflux and so wants to soothe it. Also try a dummy like a pp said.

Just 6 feeds a day? Crikey, mine didn't take that few until about 6m old. I think they might be why your baby is so hungry tbh.

Ps, completely ignore the frequency and amounts on the box.

I'd second smaller but more frequent feeds.

All babies cluster feed and this is totally normal.

Make up a 3oz bottle and have some of those starter kit little bottles handy, if she gives feeding cues give her an oz from the ready made as she asks for it in between the larger bottles spaced throughout the day ....

Hope that made sense

My first DC pretty much ate 9oz as soon as they were born. That aside, I think I'd speak to my GP/HV if they were draining 3x6oz in one sitting - just to make sure nothing else was going on.

My son is pretty big for his age but apart from his 4 days in the special care unit he has always had way more than the box suggests.
He's been on 7oz since he was 6 weeks old and the doctors have no concerns, he is quite settled apart from the fact he's teething at the moment so I would just feed her when she wants it and if her weight gain got way too much then worry but I wouldn't worry about the "recommended" amount at the moment.

Yes they had 8/9oz 6 times a day. He was lowish in birth weight and seemed to need to catch up. Perfectly healthy adult now.

How long does it take her to have a feed?
My daughter at that age went about 1. 5 hours between feeds at the absolute max. It could take her maybe half an hour to have a bottle sometimes so it could feel like I was constantly making milk. I just fed her whenever she was hungry. Which essentially was the whole time 😁

My eldest was like this. HV suggested when she was 6 weeks, and I had made a note of how much formula she was having (literally double the recommended amount!) that she was maybe just very hungry and had arrived a little earlier than she should have done so had less time to bulk up than she needed.
Then we had a day when she screamed ALL day. I took her to the GP who diagnose reflux, prescribed Gaviscon and she still ate like a champ but was less grumpy between feeds after that. She still always drank more then the side of the box suggested.
She is now a skinny bean who eats everything and anything and runs around all day long burning it off. Please be prepared for never having enough snacks in the house!