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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.
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What are three-dimensional figures that are not polyhedrons?
A figure that has a curved face or curved edge.
Why are some 3-dimensional shapes not polyhedrons?
Each face of a polyhedron must be a polygon: a flat surface bounded by straight lines. So, if any of the faces is curved, the shape is not a polyhedron.
Why are three dimensional figure with a curved surface is not a polyhedron?
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.
What 3 dimensional figure does not have a curved surface?
cube
Are cones polyhedrons?
no because it has curved faces.
What are three-dimensional figures that are not polyhedrons?
A figure that has a curved face or curved edge.
Why is a three dimensional figure with curved surface not a polyhedron?
Because that is how a polyhedron is defined.
How is a sphere like a cylinder?
Both are 3-dimensional figures wiith a curved surface.
Why are some 3-dimensional shapes not polyhedrons?
Each face of a polyhedron must be a polygon: a flat surface bounded by straight lines. So, if any of the faces is curved, the shape is not a polyhedron.
Why are three dimensional figure with a curved surface is not a polyhedron?
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.
Why are cylinders and cones not considered to be polyhedrons?
Cylinders and cones are not considered polyhedrons because they do not have flat faces, which is a defining characteristic of polyhedrons. Polyhedrons are three-dimensional shapes made up of flat surfaces, while cylinders and cones have curved surfaces. Additionally, polyhedrons have straight edges where faces meet, whereas cylinders and cones have curved edges. Therefore, cylinders and cones are classified as curved surfaces rather than polyhedrons.
Is a cone a polyhedron?
NO a cone is not a polyhedron as it has a curved surface. Similarly sphere and cylinders r 3D but not polyhedrons
What is a 3 dimensional figure with a curved surface?
Sphere
What 3 dimensional figure does not have a curved surface?
cube
Are cones polyhedrons?
no because it has curved faces.
What shape is three dimensional has a curved surface and has no edge?
sphere
What is the sum of areas of the faces or curved surface of the three dimensional object?
It is the total surface area.
