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

In Western Europe, what city would you find at 53 degrees north and 0 degrees west
Ashamed of the cruelty of his military victories, this leader from northern India became a Buddhist and built hospitals, roads, and places of worship. Who does
what is the net force if you push a cart to the right with 5N of force and a friend pushes the cart to the left with 5N of force
what is the Nth term of 0 3 8 15 24 35
A cell phone plan uses a fixed charge of $20 per month plus 10 cents for each minute used to calculate the total bill. The total bill, t, can be expressed in te
THIS IS TREASURE ISLAND!!! What resolves the inner conflict Jim feels over deserting the stockade? A. He returns, admits his mistake, and apologizes. B. He capt
I an confused need help on number 6
What is negative 94/21 converted into a positive number?
Which best explains why Sunjata is considered an epic poem? a. It does not contain a hero b. It tells a long narrative story c. It contains many short poems d.
Which phrase best describes this type of sentence? Sandy creates her best pieces of art late in the day. prepositional phrase modifying an adverb adverb modifyi