saimtheawesome1
saimtheawesome1 saimtheawesome1
  • 15-05-2017
  • Mathematics
contestada

if a convex polyhedron has 6 vertices and 8 faces then it has _____ edges?

Respuesta :

WojtekR
WojtekR WojtekR
  • 15-05-2017
You could use Euler's polyhedron formula:

[tex]V-E+F=2[/tex]

where V -
numbers of vertices, E - numbers of edges and F - numbers of faces. In this case we have V = 6 and F = 8 so:

[tex]V-E+F=2\\\\6-E+8=2\\\\E=6+8-2\\\\\boxed{E=12}[/tex]

Polyhedron has 12 edges.
Answer Link

Otras preguntas

what is the formula for momentum?
animal that is hunted or eaten help please i am dying
an extinct cephalopod with an extensive fossil record
Which rhetorical device does Black Hawk use in this passage? "The bullets flew like birds in the air, and whizzed by our ears like the wind through the trees in
Sarah has always been on time every time I meet her for dinner. Therefore, she will be on time tonight when we meet for dinner. Is the argument above inductive
Which number is between 0.5 and 5/8 ? A. 1 over 4 B. 8 over 28 C. 9 over 16 D. 19 over 28
Which is the main job of the Supreme Court? A. to decide if a law is constitutional B. to decide if a person is guilty or not guilty of a crime C. to decide if
what was the new racial order proposed by nazis
a sound wave travels at 330 m/sec and has a wavelenght of 2meters. calcuate the frequency and period
how are force, work, and distance related?