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The apex, and the shape of the base does not make a difference to what it is called.
It depends on the shape. The top of a pyramid will be a point (the apex). The top (and bottom) of a prism or an antiprism will be congruent polygons.
A pyramid with a line rather than a single point for its apex. Basically a long pyramid, imagine if you stretched a pyramid and its apex stretched from a point - into a line -------.
If the base of the pyramid is square, it must have four triangular vertical faces in order to meet at the apex (top). Such a 3D shape is a "square pyramid".
It is also called an arrowhead or chevron. It is the shape that you will get if you take a kite and push its apex down until it becomes concave.