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It is a hexahedron: more specifically, a triangular bipyramid.
The generic term is a hexahedron. It can be a pentagonal pyramid, or a quadrilateral prism (or a more irregular version of that).
It is a hexahedron, of which, a cuboid may be a more familiar example.
An object with 6 faces is called a hexahedron, more commonly known as a cuboid or cube (a regular cuboid).
A ditetrahedron (two triangular pyramids stuck together base-to-base) or, more boringly, a cube.