quennmochi quennmochi
  • 01-09-2018
  • Mathematics
contestada

A n-faced regular polyhedron consists of 2n edges and (2n-4) vertices. Find n .

Respuesta :

WojtekR
WojtekR WojtekR
  • 01-09-2018

We could use Euler's polyhedron formula:

[tex] F=n\qquad\qquad\text{(Faces)}\\\\E=2n\qquad\qquad\text{(Edges)}\\\\V=2n-4\qquad\qquad\text{(Vertices)}\\\\\\V-E+F=2\\\\2n-4-2n+n=2\\\\-4+n=2\qquad|+4\\\\\boxed{n=6} [/tex]



Answer Link

Otras preguntas

i need a prompt asap!!!!!!! will give brainliest!!!!! In this assignment, you will create your own propaganda poster. Your poster should contain images and symb
What is the main function of the digestive system? A. to break down food into nutrients that can be circulated throughout the body B. to exchange oxygen a
Please help me with this . I don't understand it
What is 2000 divided by 18 Thanks so much
Please with this problem
An employment agency specializing in temporary construction help pays heavy equipment operators $ 135 per day and general laborers $ 94 per day. If thirty dash
World War I was fought with new technology. Battles were waged by air, land, and sea. Destructive weapons such as mustard gas and machine guns added to the horr
a circle circumference is approximately 76 cm. estimate the radius diameter and area of the circle
Laura's height is found to be 5/9th of Kevins height and is 39 inches tall how tall is Kevin
160 pounds to kilograms