dimension
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scope / scale
The extent, scope, or scale of something, especially abstract matters such as a problem or a development.
Das Ausmaß der Umweltzerstörung hat eine globale Dimension erreicht.
The extent of environmental destruction has reached a global dimension.
The meaning of 'Dimension' (dimension) depends heavily on the context. If it is about abstract topics like problems, it means scope or extent. With objects, it refers to measurements. In science-fiction contexts, it is about another world.
Der Skandal hat eine politische Dimension.
The scandal has a political dimension.
In the abstract meaning, 'Dimension' (dimension) is often used with verbs such as 'annehmen' (to take on) or 'erreichen' (to reach). Common adjectives are 'neu' (new), 'politisch' (political), 'sozial' (social), or 'global' (global).
Die Krise hat eine völlig neue Dimension angenommen.
The crisis has taken on a completely new dimension.
The use of 'Dimension' (dimension) for 'Ausmaß' (extent) or 'Umfang' (scope) is typical of a more formal, elevated style, especially in news, reports, or academic texts.
Die gesellschaftlichen Dimensionen des Klimawandels sind enorm.
The social dimensions of climate change are enormous.
When referring to the concrete measurements of an object (length, width, height), 'Dimensionen' (dimensions) is very often used in the plural.
Können Sie mir bitte die genauen Dimensionen des Tisches nennen?
Could you please give me the exact dimensions of the table?
room / space
'der Raum' and 'die Dimension' can both have to do with spatial extent. 'Raum' means the space or area in which things can be located or move. 'Dimension' means a particular direction or measurement of that space, for example length, width, or height. Learners may confuse the words because both occur in contexts involving size and extent. If you mean the whole area, 'Raum' fits. If you are talking about length, width, height, or a particular spatial plane, 'Dimension' is more precise.
Bei der Zeichnung muss sie jede Dimension des Schranks genau eintragen.
In the drawing, she has to enter every dimension of the cabinet precisely.
In der kleinen Küche ist kaum Raum für einen großen Tisch.
In the small kitchen, there is hardly any room for a large table.