Embodiments of the present invention provide boxes that are particularly useful in connection with trash collection and trash compaction. The boxes are designed as having a single-piece board construction with a strength that can contain mixed types of trash, including solids and liquids, and to effectively contain the trash during the pressure of a compaction process without tearing, splitting and/or leaking. They are also designed to use a waterproof coating for adhering seams, reducing the extra step and expense of using a glue or an adhesive to secure the box seams. The trash compaction boxes provided herein are particularly useful on aircraft and other passenger transport vehicles, where weight and performance are of primary concern.