They can do. A cuboid (a brick, for example) is a prism with all its faces rectangular.
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Prisms consist of two polygonal "bases" and rectangular faces joining them. Prisms are named after the polygonal bases.
Add up all of the lengths of the edges adjacent to one of the bases.
Cubes have a square on each side, but rectangular prisms have rectangles or squares.
A rectangular prism has two bases, each of which is a rectangle, and four rectangular sides. The 12 cubes are the same as the rectangular prisms, except that each of the rectangles is a square.
They are polyhedra.