To take (something) on board

Li: Hello I'm Li, welcome to The English We Speak and today I'm at the airport with Rob. So Rob, here we are, about to fly off on a holiday of a lifetime.
Rob: Hmm, yes, but I don't think you'll be flying anywhere with those things in your hand-luggage.
Li: Why? What's wrong with this giant bottle of suntan cream—it was cheaper than buying a small one.
Rob: You can't take that on board—it's more than 100 millilitres—you won't get through security.
Li: Oh, I can't take that much liquid on board a plane.
Rob: And what do you need that penknife for?!
Li: In case I need to peel an apple?
Rob: Li! You can't take that on board either!
Li: Oh.
Rob: Honestly Li, don't you ever read the notices? Look, it says here, no sharp objects and no large bottles of liquid. I really think you need to do some preparation before you fly.
Li: Do some preparation? Oh OK, I'll take that on board.
Rob: Don't be stupid, you can't actually take 'preparation' on board. It's only objects ... things ... that you take 'on board' a plane, or a bus ... or even a train.
Li: Rob, it's a phrase. "I'll take that on board". It means I will understand or accept a piece of information. So I'm not physically moving it.
Rob: But you could say you're moving some information into your brain?!
Li: I suppose so, but I think these examples will illustrate the phrase better ... 
If that shop wants to succeed it needs to take on board the views of all its customers.
My brain aches! I need to take on board so many concepts and ideas if I'm going to pass this exam.
Li: So there are some examples of using the phrase 'to take on board'—you understand or accept some information—so Rob, have you taken on board the meaning of this phrase?
Rob: Absolutely. And have you taken on board the safety and security information?
Li: Of course—so I'll just put these items in the bin. Gone.
Rob: Right, our flight's ready for boarding now.
Li: Good ... but I've got a very large handbag. Would you mind carrying it on for me?
Rob: Sure Li ... Oh, Li, this is extremely heavy. Ouch. This is something you really won't take on board.
Li: Oh really?
Rob: Yes. Your handbag can't weigh any more than 15 kilograms.
Li: I see. More information that I'll take on board!
Rob: Good, next time remember what I've told you before you get to the airport. Come on we'd better go home. Bye for now.
Li: See you next time for The English We Speak from BBC Learning English. Bye.