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No, because a polyhedron is a solid with many flat faces. A heptagon is not a 3-D figure. However, a pyramid or prism would be a polyhedron.
Using Euler's Polyhedron formula V+F-E=2, givenF=14 and E=24, we have V=12.The polyhedron has 12 vertices.This assumes a genus-0 polyhedron. An example would be the hexagonal antiprism, a polyhedron having two hexagonal faces and 12 triangular faces.
Yes. A polyhedron is a geometric shape with flat surfaces and straight edges, so a a pyramid with a rectangular base qualifies as a polyhedron. It is however not a regular polyhedron, which would require all the faces to be the same shape and size. To change your pyramid to a regular polyhedron you'd have to turn it into a tetrahedron.
A polyhedron with 5 faces could be called a pentahedron, but a more common name would be a quadrilateral pyramid. A square pyramid is a special case of such a shape.
There would be 8 faces. Each square pyramid has 1 square face (its base) and 4 triangular faces. When you glue the squares together, you get a new polyhedron with 8 faces.