I ll add that the usage "cassette" refers usually to a tape in a plastic case, like the VHS cassette, the audio cassette.
The words referred to a box where coins where stored. It s probably still used in banks, like when ATMs are refilled.
Surprisingly for "LTO tape", french mostly uses the literal translation of "LTO tape" and sometimes "LTO cartridge" too ; the use of "cassette" is uncommon.
I just discovered it's the word for a bicycle component too.
There is the word "caissette" too, which is a box, small but not necessarily extra small as the "ette" prefix usually suggests in french though. I guess it depends of the context. ("Caisse" == "box")
There is yet another word for small boxes made of wood usually used for vegetables and fruits: "cagette".
"Casse" exists too with another meaning : it s a vehicle graveyard. (It comes from the translation of "to break" wich is the verb "casser").