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What can not be 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.
What are the flat surfaces of a polyhedron called?
faces
What shapes is not a polyhedron?
A shape that is not a polyhedron is a sphere. Unlike polyhedra, which are three-dimensional shapes with flat polygonal faces, a sphere has a curved surface with no edges or vertices. Other examples include cylinders and cones, which also possess curved surfaces and do not meet the criteria for polyhedra.
Why are three dimensional figures with a curved surface not polyhedrons?
Three-dimensional figures with a curved surface are not considered polyhedrons because polyhedrons are defined as solids with flat polygonal faces, straight edges, and vertices. Curved surfaces lack these flat faces and straight edges, which are essential characteristics of polyhedrons. Examples of shapes with curved surfaces include spheres and cylinders, which do not fit the definition of a polyhedron. Thus, the presence of curved surfaces distinguishes these figures from polyhedra.
How many flat and curved surfaces does a cuboid have?
Flat surfaces: 6Curved surfaces: 0.
What is a frace on a polyhedron?
The face of a polyhedron is any of its flat surfaces
Can there be a polyhedron with 0 flat surfaces?
No.
How many flat surfaces and curved surfaces does a cylinder have?
2 flat and 1 curved
What are the flat surfaces of a polyhedron called?
faces
What shapes is not a polyhedron?
A shape that is not a polyhedron is a sphere. Unlike polyhedra, which are three-dimensional shapes with flat polygonal faces, a sphere has a curved surface with no edges or vertices. Other examples include cylinders and cones, which also possess curved surfaces and do not meet the criteria for polyhedra.
What is a the three-dimensional object with flat surfaces?
A polyhedron.
How many flat and curved surfaces does a cuboid have?
Flat surfaces: 6Curved surfaces: 0.
How many Flat surfaces and curved does a piece of paper have?
2 flat surfaces unless it is rolled up in which case it has 2 curved surfaces.
Why are three dimensional figures with a curved surface not polyhedrons?
Three-dimensional figures with a curved surface are not considered polyhedrons because polyhedrons are defined as solids with flat polygonal faces, straight edges, and vertices. Curved surfaces lack these flat faces and straight edges, which are essential characteristics of polyhedrons. Examples of shapes with curved surfaces include spheres and cylinders, which do not fit the definition of a polyhedron. Thus, the presence of curved surfaces distinguishes these figures from polyhedra.
When curved surfaces are represented on flat surfaces then what is the distance?
When a curved surface is represented on a flat surface, usually either distances or directions must be distorted. Various "projections" exist to minimize these distortions in whatever way is important to the cartographer.
What are the flat surfaces on a pyramid cube or rectangle prism called?
flat surfaces on any polyhedron are called faces
When curved surfaces are represented on flat surfaces distances are?
distorted....
