At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Using Euler's formula, how many
edges does a polyhedron with 8
faces and 12 vertices have?
[?] edges
Euler's Formula: F + V = E + 2


Sagot :

Answer:

E = 18

Step-by-step explanation:

Euler's formula for polyhedra states

F + V = E + 2 ( F is faces, V is vertices, E is edges )

Here F = 8, V = 12 , then

8 + 12 = E + 2 , that is

20 = E + 2 ( subtract 2 from both sides )

18 = E

Then number of edges is 18

[tex]\huge\boxed{\boxed{Hello\:there!}}[/tex]

Euler's Formula states that

F+V=E+2

We are given a polyhedron with 8 faces and 12 vertices.

Let's plug these numbers into the formula and then solve for E:

8+12=E+2

20=E+2

20-2=E

18=E

Therefore, the given polyhedron has 18 edges.

[tex]\Large\boxed{\boxed{\mathrm{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}}[/tex]

[tex]\huge\bold{Good\:luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]