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Let's assume that the casserole contained cereal. If we say "Она съела кастрюлю каши" it means that she ate the entire casserole and you can't say "Она поела кастрюлю каши". If you want to say that...

Both of you variants are quite correct, waxwing.

I would use съесть rather than поесть here (if the context is undefined), I don't know why, probably because if you take some dish to eat it's...