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Pyramids are classified by the shape of their base. A triangular pyramid has a triangular base and three triangular side faces. A square pyramid has a square base and four triangular sides. A pentagonal pyramid has a pentagonal base and five triangular sides. A hexagonalpyramid has a hexagonal base and six triangular sides, and so on.
If you count the base, it has 4.
A triangular based pyramid has 4 sides. 3 triangle sides and 1 Square base
The difference in a triangular and rectangular pyramid only has to do with the base of the pyramid, which in turn decide how many sides the pyramid will have. A triangular pyramid has a base shaped like a triangle, which ends up having a total of 4 sides (including the base itself). A rectangular pyramid has a rectangular base, which ends up having a total of 5 sides (including the base itself).
One, if you are looking at the base face of the pyramid.