Yeah, the question is pretty self-explanatory.
Is there a name for the series: line, rectangle, cuboid etc.?
I need a general name for the series of these geometric shapes for my proof of a generalization of a problem I'm working on. The context is not important here. Also, if a name doesn't exist, how would I define this series?
The best way often is to take the three-dimensional word and give the dimension separately. That is, I would call the $n$th element on your list the $n$-dimensional cuboid. This is similar (in language) to the $n$-dimensional balls.