Dental floss is typically packaged in a one-time use plastic box which may also be covered in additional plastic packaging. Floss itself is made of synthetic material that is hard to recycle and takes decades to break down.* There are now alternatives on the market that are recyclable, reusable, and compostable. Silk is a compostable alternative to synthetic floss. Recyclable paperboard packaging is used by some brands, and there are also refillable options. This Treehugger article** lists a number of brands that offer compostable silk floss and refillable containers. Locally, Martindale’s in Springfield carries Radius dental floss packaged in a paperboard box.
*according to Colgate website
**Starre Vartan, November 18, 2022, "The 9 Best Biodegradable Dental Flosses," Treehugger.com