The two general names are a quadrilateral based pyramid and a triangular prismoid.
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there are 15 edges in a pentahedron
No. Pentahedron has 5 faces, and Cube has 6.
5, that is what the penta part of pentahedron means.
It has five faces in all. How many are lateral depends on the configuration of the pentahedron.
It is a pentahedron. One example of an irregular pentahedron is the 4-sided pyramid.