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One, though it's technically a square - hence why it is called a square pyramid. By definition, a square pyramid has one square face. It also has four triangular faces which meet at the apex (the tip) of the pyramid.
A square based pyramid has 5 corners - 4 for the square and 1 for the top of the pyramid.
A square based pyramid has 12 angles
All pyramids have only one apex.
1. A square pyramid has one apex and four vertices on it's square base (5) A triangular pyramid has one apex and three vertices on it's triangular base (4)