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Asked by: Arjun Streich
Updated: 19 February 2020 05:40:00 AM

How many edges does a polyhedron have?

Every polyhedron has three parts: Face: the flat surfaces that make up a polyhedron are called its faces. These faces are regular polygons. Edge: the regions where the two flat surfaces meet to form a line segment are known as the edges.Comprehensive Curriculum.No. of facesA polyhedron with 10 faces
Name
Decahedron

Taking into account how do you know how many edges a polyhedron has?

The edges of a polyhedron are the edges where the faces meet each other. The vertices are the corners of the polyhedron. Euler's Formula tells us that if we add the number of faces and vertices together and then subtract the number of edges, we will get 2 as our answer. The formula is written as F + V - E = 2.

Keeping this in mind what polyhedron has 24 edges?

Convex uniform polyhedra
NameVertex typeEdges
Cube4.4.412
Pentagonal prism4.4.515
Hexagonal prism4.4.618
Octagonal prism4.4.824

Furthermore, what is the edge of a polyhedron?

A line segment where two faces of a polyhedron meet, also called a side.
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Related questions and answers

Can a polyhedron has 10 faces 20 edges and 15 vertices?

Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.

What is the strongest point of a triangle?

An equilateral triangle is structurally the most sound for obvious reasons. Equal angles and vectors naturally resist gravitational and lateral forces equally in all directions.

What is the strongest beam shape?

I-Beam. . . . is the quintessential beam profile. The design is super strong in the vertical direction, yet has a uniform and equal response to other forces. It has the best strength to weight ratio (vertical) making it a great DIY beam profile — for Cranes, and for the main beams of big and/or long trailers.

Can a polyhedron have 20 faces 12 vertices and 22 edges justify?

According to the formula given by Euler. Therefore, there are 30 edges of a polyhedron having 20 faces and 12 vertices.

Can a polyhedron have 12 faces 22 edges and 17 vertices?

Answer. Answer: No polyhedron has 12 faces, 22 edges, and 17 vertices.

What is a 1 trillion sided shape called?

Regular megagon
Megagon
Regular megagon
TypeRegular polygon
Edges and vertices1000000
Schläfli symbol{1000000}, t{500000}, tt{250000}, ttt{125000}, tttt{62500}, ttttt{31250}, tttttt{15625}
Coxeter diagram

Can a polyhedron has 12 faces 15 edges and 20 vertices?

No. so, 12 + 15 - 20 = 7 that is not equal to 2. This equation is not satisfying. Hence it is not possible to have such polyhedron.

Can a polyhedron have 12 faces 20 edges and 16 vertices?

Euler;s formula can't be proved. Hence,a polyhedron can not have 10 faces,20 edges and 15 vertices.

Is a hexagon stronger than a triangle?

The hexagon is not the strongest shape, the triangle is. If you have a triangle(3 straws you can not change its shape without breaking or bending a straw. If you have more sides, a little pressure will change the shape although the straws do not bend. The hexagon is made of triangles.

Can a polyhedron have 12 faces 24 edges and 20 vertices?

Answer: A POLYHEDRON CANNOT HAVE 12 FACES, 20 EDGES AND 14 VERTICES.

What is the strongest shape?

Triangles: The Strongest Shape. One shape is a favorite among architects, the triangle. The triangle is the strongest shape, capable of holding its shape, having a strong base, and providing immense support.

What is a 20 sided die called?

The icosahedron – 20-sided polyhedron – is frequent. Most often each face of the die is inscribed with a number in Greek and/or Latin up to the number of faces on the polyhedron.

What shape is stronger circle or triangle?

The answer is the triangle, because of the way it distributes pressure. I'm assuming you're referring to an equilateral triangle? The circle ie the strongest shape because it maintains constantly pressure , There is no inherent leverage as all points are at a constant distance from each other.

Can a polyhedron have 8 faces 20 edges and 15 vertices?

Answer Expert Verified
No.It can't have 10 faces , 20 edges, and 15 vertices as The formula i.e. Euler's formula isn't being satisfied. Therefore,A polyhedron cannot have 10 faces , 20 edges, and 15 vertices.

How many edges does a polyhedron with 7 faces and 10 vertices have?

In geometry, the pentagonal prism is a prism with a pentagonal base. It is a type of heptahedron with 7 faces, 15 edges, and 10 vertices.

What is a 9999 sided shape called?

What do you call a 9999-sided polygon? A nonanonacontanonactanonaliagon.

What 3d shape has 8 faces 18 edges and 12 vertices?

A hexagonal prism is a prism with hexagonal base and top. This polyhedron has 8 faces, 18 edges, and 12 vertices.

How many edges does a 20 sided die have?

Regular icosahedra
Each has 30 edges and 20 equilateral triangle faces with five meeting at each of its twelve vertices. Both have icosahedral symmetry.

What is the shape with the most sides?

myriagon
In geometry, a myriagon or 10000-gon is a polygon with 10,000 sides.
Myriagon.
Regular myriagon
TypeRegular polygon
Edges and vertices10000
Schläfli symbol{10000}, t{5000}, tt{2500}, ttt{1250}, tttt{625}
Coxeter diagram

Can a polyhedron have 10 faces 23 edges and 15 vertices?

Answer. No way. A polyhedron cannot have 10 faces, 23edges,15 vertices.

Can a polyhedron have 15 faces 30 edges and 20 vertices?

Answer. hence a polyhedron cannot have 15 faces 20 vertices and 30 edges.

Can a polyhedron have 20 faces 40 edges and 30 vertices?

Answer. therefore there is no polygon with 20 faces, 40 edges and 30 vertices.

How many edges does a icosahedron?

30
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What is the weakest geometric shape?

The Triangle is a solid shape. The weakest areas include hitting, locking, stances, moving and so on.

What is the weakest 3d shape?

The Triangle is one of the most solid geometrical shapes. But it points out also the weakest areas in hitting, locking, stances, moving and so on.

Could a polyhedron exist with 10 faces 7 vertices and 15 edges?

This solid is also a polyhedron. The bases are both pentagons, so it is a pentagonal prism. There are 7 faces, 15 edges, and 10 vertices.

How many faces does a polyhedron have with 12 vertices and 30 edges?

Then it has 20 faces. A polyhedron has 30 edges and 20 vertices .