Liquid nails is the "usual" choice for 85% of the "regular" non specialty (ie- fiberglass new age design) boxes built at shops. It will both seal and strengthen the box. If used in small quantities (thin strips) it works excellent, but if used to seal larger gaps (3mm or better) it can dry porous like a honeycomb and produce weak spots within it that allow small air holes to blow out over time. It's the least expensive choice and the most readily available.
There are obviously a million ways to do it with a million products.