An acoustic structure includes a first core layer having a lattice structure between a first major surface and a second major surface, a first scrim coupled to the first major surface, a second scrim coupled to the second major surface, a second core layer having a lattice structure between a first major surface opposite a second major surface coupled to the second scrim, and a third scrim coupled to the second major surface of the second core layer. The acoustic structure has a
bulk density of less than about 12 pounds per
cubic foot.