Yes, but only if one face of one prism is congruent to a face of the other.
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A rectangular prism or a hexahedron.
It is a hexahedron, each of whose faces is a rectangle.
A rectangular prism is a hexahedron with six rectangular faces, each on which meets two others at right angles. In the special case that the rectangles are squares the shape is a cube so a cube is a special case of a rectangular prism.
No, it is not.
It can, but only if it a right triangular prism one of whose faces exactly matches the face of the square.