a rectangular prism
Or commonly known as a cuboid.
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A rectangular shape has 6 flat sides. Those sides are the top, bottom, front, back, left and right,
I do not believe that such a shape is possible. At least, not without going into exotic geometries.
any shape with four sides.
Hexagon
A cuboid (rectangular prism) is the only shape with 6 rectangular faces (3 pairs of rectangles in fact). A cube is a special type of cuboid where all the rectangles are squares. Both cubes and cuboids are special types of hexahedron (polyhedrons with 6 faces). The only shape with 6 equal rectangular faces is the hexagonal prism. However, since it also has two hexagonal faces it is therefore an irregular octahedron rather than a hexahedron.