A hexahedron is a solid with six plane faces, and a cuboid is a six-sided figure each face of which is a rectangle.
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A polyhedron (solid shape formed by plane faces) with four faces is called a tetrahedron.
By its very nature of being a triangle, and a 2D shape, a triangle cannot have four plane faces. However, a tetrahedron is a polyhedron made up of four triangular faces.
Prism
A Dodecahedron has twelve pentagonal faces. A Dodecagon is a plane figure with twelve sides.
The solid commonly called a dodecahedron is not a solid pyramid but the name simply means a solid shape with 12 faces and so, a pyramid on a 11-sided polygonal base will be a dodecahedron.