Q: What polyhedron has two bases that are hexagons the other faces rectangle?

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Yes, it could be.

It's called, not altogether surprisingly, a hexagonal prism. If the bases were hexagons and the other faces were triangles, it would be a hexagonal antiprism.

No polyhedron has five sides as a pentagon and a hexagon has six sides

The same !!

A triangular prism.

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Yes, it could be.

It's called, not altogether surprisingly, a hexagonal prism. If the bases were hexagons and the other faces were triangles, it would be a hexagonal antiprism.

A hexagonal prism

No polyhedron has five sides as a pentagon and a hexagon has six sides

There is not enough information to determine how many faces the polyhedron has (and therefore its name).

anything goes * * * * * Its faces are a mixture of pentagons and hexagons.

A Prismthe faces are called bases

errrrrh, I don't suppose you considered "a hexagonal prism" as an answer.

A polyhedron has only polygonal faces and any one of them can be considered a base. Therefore a polyhedron with 0 bases cannot exist.