I am reading CSS Spec 2.1 and find the concepts hard to distinguish:
Except for table boxes, which are described in a later chapter, and replaced elements, a block-level box is also a block container box. A block container box either contains only block-level boxes or establishes an inline formatting context and thus contains only inline-level boxes. Not all block container boxes are block-level boxes: non-replaced inline blocks and non-replaced table cells are block containers but not block-level boxes. Block-level boxes that are also block containers are called block boxes.
May I interpret the description above as follow?: