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

what services do think tanks NOT provide?
write three ratios that are equivalent to the one given: The ratio of right-handed students to left-handed students is 18;4.
downhill skiing burns about 600 calories per hour. How many calories will you burn if you downhill ski for 3.5 hours?
Which of these is a living prokaryotic cell? a.)Virus b.)bacteria c.) amoeba d.) paramecium
6x-8y+9x+4y I don't get this what is the awnser how do u solve this
I'm a sample bag of m&m's there are 5 brown, 6 yellow, 4 blue, 3 green, and 2 orange. What is the probability of getting 3 yellow m&m's if 3 are taken a
a school debate team has 4 girls and 6 boys. A total of 4 of the team members will be chosen to participate in the district debate. What is the probability that
4,822.775 rounded to the nearest cent
the eighth amendment, "prohibition," was reversed by the
The perimeter of a rectangular garden is 100 feet. Find the width if the length is 35 feet