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 is the largest island of the caribbean? cuba dominica haiti st. lucia
What is a Procedural Essay
can a segment have a more than one bisector
1. Fluid mechanics is the study of a)how fluids do work. b)the types of fluids. c)how fluids form. d)classifying fluids. 2. Two solids in contact a)ex
Which of the following is an example of secondary research? A. Observing reactions to free samples B. Gathering statistics online C. Hiring a marketing fi
Please some help me!!!
55% as a fraction in simplest form.
What is the figurative language of "clouds of inferiority begin to form in her little mental sky
UPVOTE Which would be considered a significant social effect of the First Great Awakening? A) The number of Protestant religious denominations in the colonies d
Rob buy 6 tickets to the basketball game he pays $8.50 for parking. His total cost is $40.54. What is the cost of each ticket?