das Zimmer
room
A room within a building or apartment that is separated from other areas by walls.
Mein Zimmer ist nicht sehr groß, aber es ist gemütlich.
My room isn't very big, but it's cozy.

room
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room
A room within a building or apartment that is separated from other areas by walls.
Mein Zimmer ist nicht sehr groß, aber es ist gemütlich.
My room isn't very big, but it's cozy.

The word 'Zimmer' (room) is the basis for many compound nouns that describe different types of rooms. You can often derive the function of the room from the first part of the word.
Im Schlafzimmer schläft man, im Wohnzimmer wohnt man.
In the bedroom you sleep; in the living room you live.
To express movement into a room, you use 'ins Zimmer' (into the room; in das, accusative). To describe a location inside the room, you use 'im Zimmer' (in the room; in dem, dative).
Bitte geh schnell ins Zimmer und hol meine Jacke.
Please go quickly into the room and get my jacket.
In the context of hotels or travel, the phrases 'ein Zimmer buchen' (to book a room) or 'ein Zimmer reservieren' (to reserve a room) are very common. A distinction is often made between 'Einzelzimmer' (single room; for one person) and 'Doppelzimmer' (double room; for two people).
Wir haben für unseren Urlaub ein Doppelzimmer mit Meerblick gebucht.
We booked a double room with a sea view for our vacation.
room / space
'Raum' and 'Zimmer' can both mean an area inside a building. 'Zimmer' is the normal word for a room in an apartment, a house, or a hotel, for example 'Schlafzimmer' (bedroom) or 'Kinderzimmer' (children's room). 'Raum' is more general and can also be a classroom, office space, waiting room, or large hall. It often sounds more factual or formal. Learners may confuse the words because every 'Zimmer' is a 'Raum', but not every 'Raum' is a 'Zimmer'. In everyday speech, you usually say 'Zimmer' when talking about rooms in a home.

Der Kunde wartet in seinem Zimmer, bis das Frühstück kommt.
The customer waits in his room until breakfast arrives.
Für den Kurs brauchen wir einen hellen Raum mit genug Stühlen.
For the course, we need a bright room with enough chairs.