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How many vertices and faces of 3D shapes?

Updated: 4/28/2022
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12y ago

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You can find a polyhedron with any number greater than 4 of vertices or faces.

However, a torus, ellipsoid, sphere, paraboloid, hyperboloid are all standard shapes with no vertices. Cylinders, too, have no vertices. And there are many completely random shapes - a lump of putty, for example, which will have no vertex.

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Q: How many vertices and faces of 3D shapes?
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Related questions

How many edges vertices and faces do 3D shapes have?

A cube has 6 faces


What 3d shapes have the same number of edges vertices and faces?

sphere


What 3d shapes have 1 more vertex than faces?

A triangular prism, which has 6 vertices and 5 faces.


How many faces edges and vertices does a 3d octagon have?

There is no 3d shape made up of octagons. An octahedron can be one of several different shapes - but without ANY octagonal faces. For example, A hexagonal pyramid (8 faces, 18 edges, 12 vertices) A heptagonal pyramid (8 faces, 14 edges, 8 vertices) A quadrilateral dipyramid (8 faces, 12 edges, 6 vertices)


Faces and vertices of all 3D shapes?

There are an infinite number of 3d shapes. For example you can have an infinite number of prisms with ends that are triangular, quadrilateral, or in the shape of any polygon.


What are shape vertices?

For two dimensional shapes, a vertex (plural vertices) is a point where two sides meet.For 3D shapes, a vertex is a point where three or more faces meet.


What 3d shape has 8 faces 19 edges 12 vertices?

According to Euler none; for all 3d shapes: Vertices + Faces = Edges + 2 ⇒ 12 + 8 = 19 + 2 ⇒ 20 = 21 So unless 20 does equal 21, no 3d shape has 8 faces, 19 edges and 12 vertices. Any 3d shape with 8 faces would be an octahedron.


3 d shapes which 2 shapes have the same number of edges vertices and faces?

no. a 2d square has only 1 face but a 3d square (cube) has 6 faces.


What 2 3d shapes have the same number of edges vertices and faces?

A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.


How many faces edges and vertices in cylinder cone?

A cylinder and a cone - are two entirely different 3D shapes. A cylinder has three faces & two edges. A cone has two faces and one edge.


Which 3d shapes have parallel faces or edges?

There are infinitely many shapes that do.


Euler's rule for a polygon?

The rule applies to POLYHEDRA (3D shapes) not Polygons, which are 2D Faces + Vertices - Edges = 2