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They are called faces of the polyhedron.
No and Yes A regular tetrahedron does not have any faces that are perpendicular to each other. (Regular in this sense means all edges are equally long - all faces are equilateral triangles)You can construct a irregular tetrahedron with two or three perpencdicular faces. To make such a tetrahedron with three faces perpendicular, simply cut the corner of a cube.
dice
Assuming the pyramid is like the Egyptian ones and the rectangle is on the ground, a visitor can only see 4 faces. If you include the face on the bottom, only facing the ground, that would make 5 faces. Of course, if you were siting INSIDE the pyramid, you would see another 5 faces, all facing inside. So that makes 10 faces.