A quadrilateral prism is a solid (3-D) object with two quadrilateral faces at either end and four rectangular faces joining these. A trough, with plane (not curved) sides is one example.
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A quadrilateral prism has 12 edges, 8 vertices and 6 faces.
they both have quadrilateral bases, they're both polyhedrons, and they both can tessellate (if it's a right prism and a right pyramid)
There are several options: A hexagon based pyramid A pentagonal based bipyramid A triangular based prism + quadrilateral pyramid (attached along a quadrilateral face) A triangular pyramid on a triangular prism (attached along a triangular face)
In 2-dimensions, an octagon. In 3-d it could be a heptagonal pyramid, a quadrilateral prism or quadrilateral antiprism. There are probably a few more shapes.
The possible answer, with the dividing plane being perpendicular to the faces are:A triangular prism and a pentagonal prismTwo quadrilateral prismsOne triangular and one hexagonal prismTwo pentagonal prismsOne quadrilateral and one pentagonal prismTwo short hexagonal prisms.The number of possibilities increased greatly if the dividing plane can be oblique.