octagon
No, because a polyhedron is a solid with many flat faces. A heptagon is not a 3-D figure. However, a pyramid or prism would be a polyhedron.
Using Euler's Polyhedron formula V+F-E=2, givenF=14 and E=24, we have V=12.The polyhedron has 12 vertices.This assumes a genus-0 polyhedron. An example would be the hexagonal antiprism, a polyhedron having two hexagonal faces and 12 triangular faces.
Yes. A polyhedron is a geometric shape with flat surfaces and straight edges, so a a pyramid with a rectangular base qualifies as a polyhedron. It is however not a regular polyhedron, which would require all the faces to be the same shape and size. To change your pyramid to a regular polyhedron you'd have to turn it into a tetrahedron.
A polyhedron with 5 faces could be called a pentahedron, but a more common name would be a quadrilateral pyramid. A square pyramid is a special case of such a shape.
octagon
no a cuboid is not a polyhedron if it was it would have 9 faces
Such a polyhedron cannot exist. According to the Euler characteristics, V + F - E = 2, where V = vertices, F = faces, E = edges. This would require that the polyhedron had only two faces.
No, because a polyhedron is a solid with many flat faces. A heptagon is not a 3-D figure. However, a pyramid or prism would be a polyhedron.
Using Euler's Polyhedron formula V+F-E=2, givenF=14 and E=24, we have V=12.The polyhedron has 12 vertices.This assumes a genus-0 polyhedron. An example would be the hexagonal antiprism, a polyhedron having two hexagonal faces and 12 triangular faces.
A cube is a solid figure called a polyhedron. A polyhedron is a solid figure with all flat faces. So a cone would be a solid figure but not a polyhedron becasue it has a curve and does not have all flat faces.
That would be classified as an edge.
A cylinder would fit the given description
It cannot be a simply connected polyhedron because the Euler characteristic would imply that it had only two vertices.
A polyhedron is a 2 dimensional object. To have fasce it would have to be at least 3 dimensional. If you want to know what is a polyhedron with 4 sides, it's a quadrilateral THAT'S NOT QUITE RIGHT - actually it's completely false. Sorry, Ratty, a polyhedron is a 3 dimensional figure. Polygon refers to 2 dimensional figures. A pyramid with a triangular base is a polyhedron with 4 faces.
Yes. A polyhedron is a geometric shape with flat surfaces and straight edges, so a a pyramid with a rectangular base qualifies as a polyhedron. It is however not a regular polyhedron, which would require all the faces to be the same shape and size. To change your pyramid to a regular polyhedron you'd have to turn it into a tetrahedron.
Assuming the shape is a simply connected polyhedron, there are 6 faces. A triangular dipyramid, for example.