A sandwich skin construction that is comprised of an internal structure comprising a plurality of cones disposed between two outer skins is disclosed. The interior contains a pressurized gas to give the resulting sandwich skin construction added strength over a similarly constructed non-pressurized structure of the same material with an equivalent mass. Various attributes of the cones can be adjusted, for example, size and angle, to optimize the performance of the sandwich skin construction to a variety of external stresses. Moreover, a method is provided for manufacturing the sandwich skin construction. The structure can be placed in a pressurized environment before attaching the outer skins.