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The only rectangle would be the base.
Five, counting the square base.
A rectangular pyramid has five faces. It has a rectangle as a base. From each side of the base, a triangular faces (four of them in all) come up to meet at a point which is above the base. Follow the link for a square pyramid, a special case of a rectangular pyramid.
1 rectangular face (the square base) and 4 triangular faces. Justin Dip(Math) Open
The flat surfaces on a pyramid are called faces. A pyramid has one base and triangular faces that meet at a single point called the apex. On a cube or rectangular prism, the flat surfaces are called faces as well. But unlike a pyramid, a cube has six square faces, while a rectangular prism has two rectangular bases and four rectangular faces.