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A tetrahedron (a triangular pyramid) has these properties. But I'm not sure what you mean by show the net.
A cylinder would fit the given description
The net you are referring to is called a square pyramid net. It consists of four triangular faces and one square base. When the net is folded along its edges and assembled, it forms a three-dimensional square pyramid shape.
Because a rectangular prism has straight edges whereas a a cylinder has curved edges.
it is a net.