There are four faces in a triangular pyramid.
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The shape you are describing is a triangular pyramid. A triangular pyramid has a base that is a triangle and three triangular faces that meet at a single point called the apex. The base of the pyramid is a rectangle, which is a quadrilateral with four right angles. The triangular faces of the pyramid connect the vertices of the base to the apex.
triangular pyramid
a triangular pyramid has 4 triangular sides
squares
4 the base and 3 sides