cuboid
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A rectangular pyramid has 5 faces: a rectangular base, and 4 triangular faces.
a rectangular prism
Not necessarily. It can have 6 rectangular faces.
Two or zero. A cuboid can have 6 rectangular faces; or 4 rectangular faces with 2 square faces on either end
A rectangular pyramid has 5 bases. The base of a pyramid is the polygon upon which the pyramid stands, and in the case of a rectangular pyramid, there are four triangular faces that meet at a single rectangular base. So, the total number of bases in a rectangular pyramid is 1 (rectangular base) + 4 (triangular faces) = 5 bases.