brim
We went round the supermarket, filling our trolley to the brim.
The waiter kept grabbing the wine bottle and filling our glasses to the brim.
I carefully poured the liquid over the raspberries, filling the bowls to the brim.

SMART Vocabulary: related words and phrases

Filling and completing
backfill
box ticking
brick
brick something up
brim
fill
jam
overcrowd
overrun
pack something/somewhere out
permeate
permeation
plug
squeeze (someone/something) in/squeeze (someone/something) into something
stuffing
suffuse
supersaturated
take something up
tank
tie