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I think with a rectangle and it's cuboid, the increase in dimension is harder to understand.
In this picture, it's not apparent which of the sides of the rectangle is increasing in height. We must instead visualize ALL the sides increasing in height along a direction.
Interestingly, even when a cylinder is closed off, such as this mug I drew with my fingers, there still remains one aperture. I think we can more clearly see and understand the concept of "circumference increasing in height" to form a cylinder.