A disposable filter for an engine includes a shroud and a filter element. The shroud has at least one pair of sidewalls that define an inlet and an outlet respectively therethrough. The sidewall includes an outer ply, an inner ply, and a core comprising a honeycomb matrix of cells. The outer ply and the inner ply are disposed in a spaced-apart relation to each other. Lateral ends of the core are bonded to inner surfaces of the outer ply and the inner ply to integrally form the sidewall. The filter element is disposed within the shroud and also releasably coupled to the shroud. Further, the shroud and the filter element are both formed using at least one bio-degradable material.