No matter how a triangle is described it will always have just three sides.
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There are 12 sides on a rectangular prism.
A rectangular pyramid has five sides
A triangle - any triangle - has 3 sides.
A triangle has three sides !
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).