A 3D shape with only 3 sides is called a triangular prism. This shape was orginally discovered by Greek archaeologists. They named it upendi after a rare passion fruit which was treasured quite dearly among their tribes. The name was changed quite a lot during the rule of Emperor Nero who could not pronounce it very clearly.
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In a 3D world with 6 sides it is a cube.
a cube or a dodecahedron * * * * * Not a cube, which has only six sides!
square
A quadrilateral is a plane or 2d figure with four sides. A 3d shape (object) has a name ending with -hedron, eg a tetrahedron which is a four sided 3d shape. A 3d quadrilateral has no meaning. Sides (edges) do exist in 3d shapes, but a more pertinent attribute is faces. Do you mean by "3d quadrilateral" a 3d shape which has a quadrilateral as a base and at most 4 or 5 other sides, ie a pentahedron (usually called a square pyramid) or a hexahedron (some types of which are called cuboids and cubes)? Please re-ask using consistent terminology, eg What is a 3d shape with one pair of parallel faces and 6 faces?
A hexahedron is the name for a 6 sided 3D shape.