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A square pyramid has four triangular faces and one square face. In total, that is five faces.
A pyramid can have 4 or more faces. A pyramid, with a n-sided polygon as base will have n+1 faces. The polygon with the least number of sides is a triangle and a triangular pyramid (tetrahedron) has 4 faces. A square based pyramid has 5 faces, and so on.
Oh, dude, you're talking about a square pyramid! It's like a pyramid, but with a square base and four triangular faces. So, technically, it has 5 faces in total. Math can be fun, right?
A square-based pyramid
Number of faces on a square pyramid is 5.