Polyhedra Perspective Problems

In 2D engineering drawings, a single view does not show all the features of an object, so several views are used. Some objects are perplexing even when three views are shown:

This Demonstration provides various spatial problems for polyhedra with 2D views. Red faces are only on visible parts (from these view points) of a polyhedron and all unseen faces are cyan. Determine the number of red faces in each problem.