a triangular pyramid
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A triangle based pyramid.
A tetrahedron has 4 faces. A "regular tetrahedron" has an equilateral triangular base with three equilateral triangles as sides coming up from it.
A square-based pyramid
There is no 3D shape with 6 faces: 4 rectangles and 2 triangles. See the link for all forms of hexahedra.
Triangular. the base is square, with four other triangular faces.