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Which 3D shape has 8 faces 12 edges?

Posted on September 2, 2022 by Author

Which 3D shape has 8 faces 12 edges?

octahedron
In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces, twelve edges, and six vertices.

What is a shape with 12 vertices?

Regular dodecagon
Dodecagon

Regular dodecagon
A regular dodecagon
Type Regular polygon
Edges and vertices 12
Schläfli symbol {12}, t{6}, tt{3}

What 3D shape has 8 square faces?

Cuboctahedron
(Click here for rotating model)
Type Archimedean solid Uniform polyhedron
Elements F = 14, E = 24, V = 12 (χ = 2)
Faces by sides 8{3}+6{4}

What will be the number of vertices if there are 8 faces and 12 edges?

No. of vertices = 6. Step-by-step explanation: According to the Euler’s formula, there is a fixed relationship between the edges, vertices and the faces.

What prism has 12 faces?

decagonal prism
The decagonal prism has 12 faces, 30 edges, and 20 vertices, so, it is a dodecahedron (while the term is usually applied to regular dodecahedron or rhombic dodecahedron.). If faces are all regular, it is a semiregular or prismatic uniform polyhedron.

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Does a cube have 8 vertices?

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

What kind of polygon has 8 sides and 8 vertices?

Regular octagon
Octagon

Regular octagon
A regular octagon
Type Regular polygon
Edges and vertices 8
Schläfli symbol {8}, t{4}

What Prism has 12 faces?

How many faces edges and vertices does a 3D shape have?

The following table lists the number of faces, edges and vertices for some common 3D shapes: Name Faces Edges Vertices Cube 6 12 8 Cuboid 6 12 8 Sphere 1 0 0 Cylinder 3 2 0

How many vertices does a rectangular shape have?

It has 4 horizontal edges around the top rectangular face and 4 horizontal edges around the bottom rectangular face. It also has 4 vertical edges connecting the vertices of the top rectangular face to the 4 vertices of the bottom rectangular face. A cuboid has 8 vertices.

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What are the three parts of a three dimensional shape?

Three dimensional shapes can be picked up and held because they have length, width and depth. Faces are the surfaces on the outside of a shape. Edges are the lines where two faces meet. Vertices (or corners) are where two or more edges meet.

How many rectangular faces does a cuboid have?

A cuboid has 6 rectangular faces, which are the outside surfaces of a 3D shape. A cuboid has 12 straight edges, which are the lines between the faces.

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