Mine are a bit shorter that yours I'd say (well DS is) but they are allowed anything on the bottom shelf/crispers of the fridge. I only say that because we have to keep most stuff in the fridge. Of a morning I leave DS who's a very early riser a yoghurt and a spoon there too so he can get that. They also have a shelf in the pantry with rice crackers etc they can have.
We only have stuff they are freely allowed to eat and anything contraband that appears is put up where I have to get it....though when you are blessed with amazon children that generally means somewhere I need a chair for lol.

Though...that is a lot of fruit in 24hours.