An insulative panel having a frontside and an opposing backside, and one or more other sides that extend from the frontside to backside, the one or more other sides angling inwardly from the frontside to the backside so that the panel has a tapering profile, the panel being configured to fit into a stud or other such cavity having standardized dimensions, the panel comprising an insulating material with an R-value suitable for use in building construction and remodeling.