A square based pyramid nearly meets the requirements - except that it is not "triangular shaped" as required by the question.
Four.
Objects shaped like a square pyramid are polyhedrons with a square base and triangular sides that meet at a common vertex. These objects have five faces: one square base and four triangular faces. Examples of objects shaped like a square pyramid include the pyramids of Egypt and the roof of some buildings.
Triangular Pyramid.
No such thing as a 'Square' Pyramid. However, the Pyramids at Giza in Egypt have a square base, and four triangular sides that meet at a point. This is the classic form of a pyramid. NB A Triangular based pyramid is named a 'Tetrahedron', NOT a pyramid.
A solid with triangular sides is a "pyramid". (The pyramids in Egypt have four sides and a square base.)
A triangular shaped tomb is a burial structure or monument that is designed in the shape of a triangle. This type of tomb is less common and typically has three sides that come together at a point. Triangular tombs can be found in various cultures and time periods, and they may have different architectural and symbolic meanings depending on the context.
A pyramid.
Those are the pyramids.
Four sides of a pyramid are triangular-shaped, meaning they have three sides. The fifth side is square-shaped, meaning it's four-sided.
Both the Egyptians and the Maya/Aztec built large pyramids with triangular sides and square bases.
An icosidodecahedron has twenty triangular faces and twelve pentagonal faces... so 42 sides, but the sides are not all shaped the same.
A triacontakaidigon is a polyhedron with 32 sides. If the sides are all triangles, then there are 32 triangles in a triacontakaidigon, but a triacontakaidigon does not need to have triangular shaped sides.