A quadrilateral-based pyramid.
well actually it is a prism. If you mean a 5 sided pyramid with the 6 side being the bottom it would be called a Pentagonal Pyramid
An example of a common five faced three dimensional shape is the square pyramid. There are no three dimensional shapes with five edges.
A 3d shape with 5 faces can be a square pyramid
A pyramid which has a total of 5 faces is a quadrilateral based pyramid.
It is a pentahedron. One example of an irregular pentahedron is the 4-sided pyramid.