A Brisket Primer: You can buy beef brisket 3 ways: 1. Whole with deckle (the deckle is a thin layer of meat with a lot of connective tissue and fat that lies on the underside of the brisket; it can be removed easily), weight in at 8 to 10 pounds. If you remove the deckle, the remaining piece of brisket weighs 7 to 8 pounds. 2. Flat cut, also known as the first cut or thin cut. This is the leanest of the possibilities and the most popular, and it usually weighs around 4 pounds. 3. Point cut, cheaper and fattier than the flat cut, also 4 to 5 pounds.