Does there exist a pentahedron that does not comprise of four triangles and one quadrilateral?

Answer 1

A pentahedron (plural: pentahedra) is a polyhedron with five faces. There are two types:
With a quadrilateral and four triangles as faces, i.e. a (regular or irregular) four-sided pyramid, such as the square pyramid.
With three pairwise adjacent quadrilateral faces and two non-adjacent triangular faces, e.g. a triangular prism, a triangular pyramidal frustum, or some other truncated triangular pyramid (i.e. one with the planes of the triangles non-parallel).

Answer 2

In other words: other than a square-based pyramid (or such a shape stretched and skewed), are there any other 5-sided, three-dimensional shapes where every face is a flat polygon?

The answer is yes. Take a triangular-based prism for example. In this case you have a triangle for the top and bottom face, but three quadrilaterals for the side faces.

Answer 3

http://answers.yahoo.com/question/index;_ylt=AhX2nHtMcw0MZ7fVrWV92R7sy6IX?qid=20070815142413AAJvsJb

Answer 4

i guess so.