Because that is how a polyhedron is defined.
Because that is how a polyhedron is defined.
Because that is how a polyhedron is defined.
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A polyhedron is defined as a three-dimensional figure composed entirely of flat polygonal faces, which meet at edges and vertices. In contrast, a three-dimensional figure with a curved surface, such as a sphere or cylinder, lacks flat faces and instead has continuous curves. Therefore, the presence of a curved surface disqualifies such figures from being classified as polyhedra.
A polyhedron.
A polyhedron cannot have curved surfaces; all its faces must be flat, polygonal shapes. Additionally, it cannot have any holes or gaps, as a polyhedron is a solid figure with a continuous surface. Shapes like spheres or cylinders, which have curved surfaces, are also not considered polyhedra.
It is so by definition.
A polyhedron is a closed figure with several (planar) sides, and all its sides are planar. A non polyhedron does not have these properties, maybe it is not closed, maybe one or more of the sides is a curved surface. In some branches of topology the sides of a polyhedron cannot intersect each other.
A paraboloid.
Cylinder - a solid figure formed by two congruent parallel circles joined by a curved surface.
Sphere
cube