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

FACTORIZE. 9x2y-24xy2-16y3 solve it
(X+12) 2 ÷ x2-144 ×-12. 12×-144
you have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches .if you pour the water into a larger cylindrical glass that
The Indus, Ganges, and Brahmaputra were important to ancient India because they were
Find an equivalent ratio for 22/55 then write the proportion ?
Buck drove 220 miles in 5 hours. What was his average rate of speed?
The base of right prism is rhombus of diagonal is 6 and 8cm and altitude is 12 cm find total surface area
Buck drove 220 miles in 5 hours. What was his average rate of speed?
Two 1 litre jugs are each filled with a mixture of olive oil and vinegar. The first jug has 3 times as much as oil as vinegar and the second jug has 4 times as
A history quiz consists of five true-false questions. If you guess on each question, then the probability of answering all five questions correctly is approxima