An appliance includes an outer wrapper and an inner liner that are connected to define a structural cabinet with an insulating cavity defined between the outer wrapper and the inner liner. An insulating material is disposed within the insulating cavity, wherein an at least partial vacuum is defined within the insulating cavity. The at least partial vacuum defines a pressure differential between the exterior of the structural cabinet and the insulating cavity, the pressure differential defining an inward compressive force. Wrapper structural reinforcements are disposed proximate the outer wrapper. Liner structural reinforcements are disposed proximate the inner liner, wherein each of the wrapper and liner structural reinforcements extend into the insulating cavity and are free of engagement with one another. The wrapper and liner structural reinforcements are positioned to resist the inward compressive force.