One base, which is a pentagon.
pentagonal pyramid
pentagonal pyramid
It has a pentagon base and it is a pyramid
equalateral triangle
name which containig triangle prism and triangle pyramid
A hexagonal pyramid is one possibility. A pentagonal bi-pyramid is another. There are others.
Each and every prism has two parallel congruent bases. It is the shape of these bases that give the name to the prism: a pentagonal prism has pentagons (not necessarily regular) for its bases.
A six sided cone is a pyramid technically, and it would be a hexagonal pyramid (if six sides does not include base) or a pentagonal pyramid (if including base.)
their bases and their vertices.
A six sided polyhedron is a hexahedron. This may be a triangle based dipyramid, a pentagonal pyramid of a variant of a parallelepiped.
All except the base are always triangles; the shape of the base gives the name to the pyramid; eg a pentagonal pyramid has a pentagon as the base and five triangular faces; a triangular pyramid has three triangular faces and also has a triangle for the base.
A cone by definition has only two sides. A five-sided pyramid can refer to either a square-based pyramid (four angled sides and the base) or a pentagonal-based pyramid (five visible sides).