For a hat:
* Edge: This is a general term for the outer boundary of something.
* Rim: Similar to edge, but often used specifically for the curved or circular edge of something.
* Crown: This refers to the top part of the hat, but it can also be used to describe the edge if the hat has a wide, flat brim.
For a cup or bowl:
* Lip: This is the edge that you drink from or pour from.
* Rim: Similar to lip, but it can also refer to a thicker, more prominent edge.
For other objects:
* Edge: This is a general term that can be used for any object with a defined outer boundary.
* Border: Similar to edge, but it often implies a more decorative or defined boundary.
* Margin: This term is usually used for the space or area at the edge of something, like the margin of a page.
To be more specific, please tell me the context in which you want to use the word "brim." For example, are you talking about a hat, a cup, or something else?