There are seven topologically different types of convex hexahedra and three concave ones. These have different names such as parallelepiped, left-handed tetragonal antiwedge, or simply "4,4,4,4,3,3 faces". The last of these is a tetrahedron with a v-shaped chunk cut out of one edge.
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A hexahedron! Seriously, latin it out. Hexahedron (6-sided shape) I think we normally call those cubes.
hexahedron
Hexahedron
A hexahedron is the name for a 6 sided 3D shape.
A cube is a special kind of hexahedron.