# How many faces edges and vertices does a polyhedron have?

## How many faces edges and vertices does a polyhedron have?

Edge: the regions where the two flat surfaces meet to form a line segment are known as the edges. Vertex: It is the point of intersection of the edges of the polyhedron. A vertex is also known as the corner of a polyhedron....Comprehensive Curriculum.
NameNo. of faces
DecahedronA polyhedron with 10 faces

## Can a polyhedron have 10 faces 7 vertices and 15 edges?

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.

## Can a polyhedron have 4 faces?

(iii) Yes, A pyramid can have a square base face and 4 triangular faces. Want to top your mathematics exam ?

## How many faces will be of a polyhedron if vertices are 5 and edges are 20?

The the faces of polyhedron will be 12. We know that, By Euler's formula: F + V - E = 2 Where, F is faces of polyhedron. V is vertices of polyhedron.

## Can a polyhedron have 12 faces?

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

## Can a polyhedron have 12 faces 20 vertices and 30 edges?

Answer. Answer: 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 20 faces?

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

## Can a polyhedron have 12 faces 20 edges and 15 vertices?

Hence it is not possible to have such polyhedron. ...

## How many faces does a polyhedron have if it has 12 vertices and 30 edges?

Polyhedra
Name# of Faces# of Edges
Cube612
Regular Octahedron812
Regular Dodecahedron1230
Regular Icosahedron2030

5 faces

12 faces

heptahedron

## How many faces does a polyhedron have with 5 vertices and 8 edges?

A polyhedron that has 5 faces and 5 vertices have 8 edges and is called a square pyramid.

## What is Euler's rule used for?

Euler's formula relates the complex exponential to the cosine and sine functions. This formula is the most important tool in AC analysis. It is why electrical engineers need to understand complex numbers.

## What is Euler formula?

Euler's formula, either of two important mathematical theorems of Leonhard Euler. ... It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges. A cube, for example, has 6 faces, 8 vertices, and 12 edges and satisfies this formula.

## How did Euler prove his formula?

Around 1740 Euler turned his attention to the exponential function instead of logarithms and obtained the formula that is named after him. He obtained the formula by comparing the series expansions of the exponential and trigonometric expressions.

## How did Euler go blind?

Euler. Early in his career, Euler lost sight in one of his eyes, possibly from observing the sun without taking proper precaution, in his study of astronomy. ... He lost sight in his other eye due to a cataract, and at age 50 was completely blind until his death in 1783.

## Why is Euler's formula beautiful?

"Euler's identity is amazing because it is simple to look at and yet incredibly profound," says David Percy of the University of Salford in the UK – who could not choose between this and Bayes' theorem.

## How are PI and E related?

e is the mathematical identity of which the derivative of ex with respect to x is still ex, while π is the relationship between the circumference of a circle divided by its diameter.