Q: What is a rectangular face?

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They both have at least one rectangular face.

NO! A Cylinder does not have any rectangular faces

a rectangular based pyramid

There are many shapes that have one and only one rectangular face, but an example of one would be a rectangular pyramid.

yes

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They both have at least one rectangular face.

NO! A Cylinder does not have any rectangular faces

a rectangular based pyramid

There cannot be such a shape. It is not a cylinder because a cylinder sdoes not have a rectangular face. A rectangle must be a flat face and the only flat faces in a cylinder are the circle faces. The curved face can be "opened out" into a rectangular shape but because the face is curved it cannot be rectangular.

There are many shapes that have one and only one rectangular face, but an example of one would be a rectangular pyramid.

A rectangular pyramid.

yes

A rectangular prism has six faces. Four of these must be rectangular: the other two may be square or rectangular.

A rectangular prism.... has four rectangular, and two square faces.

Yes, but only if one face of one prism is congruent to a face of the other.

A Pyramid ( As in Egypt).

A rectangular pyramid is one possible answer.