The Swedish word for room is
rum

Translations for room and their definitions

rum	©
1. n-n. a room (in a building)
Jag vill ha en lägenhet med två rum - I want a flat with two rooms
2. n-n. space, room
Har du rum i din väska så att du kan lägga ner min bok också? - Do you have room in your bag so that you could put my book in it too?
det kröka rummet - curved space
3. n-n. (mathematics) a space
linjärt rum - linear space