I have been teaching Computer Graphics this semester. I am using Bertollini's book which might be a very handy reference to have around if you can afford it. He has a listing of all possible graphics types of which a very small group is called solids. Aside from prismatic solids the other major group consists of things like tetrahedra, dodecahedra (based on the pentagon), icosahedra (based on the triangle), etc. I have never found it easy to model these solids in SolidWorks or any other solid modeler because they tend to work off of sketches.
Perhaps we should call the current crop of software Prismatic Solid Modelers or Bounded Volume Modelers instead.