It is a 3-dimensional shape - a polyhedron = whose base is a rectangle and which has four triangular faces attached to its sides. These free vertices of these triangles meet at an apex above the base.
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A pyramid has a based that is a polygon such as a triangle or rectangle. The other sides of a pyramid consist of triangles, which are usually the same size.
Rectangular-based pyramid
A rectangular pyramid - except that a majority of Egyptian tombs were square based, not rectangle based.
A square based pyramid is called a square pyramid
Just that, a pentagonal based pyramid.