The characteristic load-plateau of their compressive response makes polymeric and metallic foams excellent candidates for energy absorption and impact mitigation applications. Cellular solids made of a brittle material (e.g. ceramics, carbon), on the other hand, because of their low weight and large surface area have found use in energy storage devices, filtration, acoustic insulation, armored textiles as well as thermal shielding under extreme conditions. In all of these applications, material integrity remains a requirement for functionality and performance. Despite their importance, however, the properties of brittle cellular materials have been largely understudied in contrast to the enormous body of work on their metallic counterparts. This talk will focus on the mechanics of brittle foams with controlled morphological characteristics, measurements of their crushing strength, and multi-scale models that can reproduce their failure under compression. Tessellation-based topologies are used to generate realistic microstructures of open-cell foams that are subsequently 3D-printed by stereolithography. The brittle material behavior and fracture strength of the base photopolymer are measured using tensile tests on small dog-bone specimens with the dimensions of foam ligaments. Synthesized foams are scanned by microcomputed tomography and manufacturing-induced variations are quantified through image analysis. A combination of experimental and modeling efforts allows estimating the foam strength and connecting it to the complex microstructure and the material behavior of the constituent parent solid.