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Because that is how a polyhedron is defined.
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Why a three dimensional figure with curved surface is not a polyhedron?
Because that is how a polyhedron is defined.
Why is a three dimensional figure with curved surface not a polyhedron?
Because that is how a polyhedron is defined.
What is the curved surface of a solid figure one of the polygons that make up a polyhedron?
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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 suface?
A polyhedron.
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.
Why is a three dimensional figure with curves surface is not a polyhedron?
It is so by definition.
What is the difference between a polyhedron and a non polyhedron?
A polyhedron is a three-dimensional solid with flat faces, straight edges, and sharp corners, while a non-polyhedron does not have these characteristics. Polyhedra are made up of polygons that enclose a single region of space, while non-polyhedra may have curved faces or intersecting edges. In mathematical terms, a polyhedron satisfies Euler's formula (V - E + F = 2), where V is the number of vertices, E is the number of edges, and F is the number of faces, while a non-polyhedron does not.
What is a figure with one circular base and one curved curved surface?
A paraboloid.
What is a figure that has two circular bases and one curved surface?
Cylinder - a solid figure formed by two congruent parallel circles joined by a curved surface.
What is a 3 dimensional figure with a curved surface?
Sphere
What 3 dimensional figure does not have a curved surface?
cube
