A hexahedron, also known as a parallelepiped.
sphere
A triangular pyramid.
Triangular prism of course!
A quadrilateral based pyramid.
A hexahedron is a solid figure with 6 plane faces (which is where the prefix hexa- comes from), eight vertices and 12 edges.
sphere
A hemisphere
The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.
6
A Cylinder.
cube
none
It is a sphere
Pyramid
A tetrahedron.
No normal polyhedron.
A cuboid, a parallelepiped.