Question

What formula do i use for this?
How many vertices does a convex polyhedron have if it has 14 faces and 24 edges?

Answer 1

Hello

Answer 2

This is my first time here.

Answer 3

F+V=E-2

Answer 4

Ok but i doesnt give me the vertices though?

Answer 5

F+faces
V=vertices
E=edges

Answer 6

So face will be 14 and edges will be 24, but what do i put for vertices

Answer 7

I did, then i got 36 but my paper says its either 8, 10, 11 ,12

Answer 8

As answers.

Answer 9

Im comfused on this one?!

Answer 10

Look 14+24=E-2

Answer 11

Ok

Answer 12

Solve for E instead of V sorry i accidentally told you to solve for V

Answer 13

Now 14+24 is 38

Answer 14

Its 40=E

Answer 15

Correct?

Answer 16

Then it will be 38=E-2

Answer 17

I get this part but my paper says the answers may be 8, 10, 11, a12

Answer 18

We will have to do something with it...

Answer 19

*12

Answer 20

But i get 40

Answer 21

Lets use this formula:F + V - E = 2

Answer 22

So I am really stuck here!

Answer 23

Like what?

Answer 24

Yup it is 40

Answer 25

Is there another formula?

Answer 26

Ok

Answer 27

What do i put for v

Answer 28

And it cant be 40 if my options is 8, 10, 11,12

Answer 29

Nothing just plug in the ones you are given

Answer 30

I am only given 2 Edges and faces but i dont have the vertices

Answer 31

F + V - E = 2 would be 14+V-24=2

Answer 32

And i plug them in ill get 40 but 40 is not a option. the options it gives me is 8,10,11,12

Answer 33

OHHHHHHHHHHHHHHH

Answer 34

Got it...?

Answer 35

Brain fart!

Answer 36

Is it 8?

Answer 37

-10+V=2

Answer 38

V=12

Answer 39

so it is 12.....

Answer 40

It would be -8

Answer 41

:) :) now did u get it?

Answer 42

cause -10+2=-8

Answer 43

Oh you did!

-10+V=2
+10 +10
V=12

Answer 44

No, you will add 10 to both sides so that 10 will be gone from the side where there is -10 because -10+10 is 0...

Answer 45

Ohh you so helpful :D

Answer 46

Yeah thats what I did

Answer 47

Ok can you list the names of the 2 formulas you did?

Answer 48

So i can write it down?

Answer 49

F + V - E = 2

Answer 50

I dont think the other one will work....

Answer 51

Ok the First one is to solve the one with no Vertices

Answer 52

And this one F+V=E-2 will solve if i have all the info for F, V AND E

Answer 53

Thanks agaain i gave you gold medal ;D

Answer 54

let me seee

Answer 55

thanks so much

Answer 56

wait let me see the other formula

Answer 57

Np you deserve i might be posting again only IF I GET SUCK AGAIN. Dont want to abuse this wonderful system :D

Answer 58

Stuck*

Answer 59

Ill wait :D

Answer 60

6 vertices, 8 faces, and 12 edges I think this formula can solve this type. F+V=E-2

Answer 61

yeah that one will work tooo......!
F+V=E-2

Answer 62

:D

Answer 63

but i would rather use the one i posted before.

Answer 64

What would the answer be for this one?

Answer 65

if u need my help just post @mayaal where you post ur answers...

Answer 66

the answer is 12

Answer 67

Ok thanks again!

Answer 68

Will do!

Answer 69

r u in algebra?

Answer 70

Geometry

Answer 71

where do you live?

Answer 72

i am in geometry too...!

Answer 73

Oooh i live in CA

Answer 74

I live in Florida

Answer 75

Lol

Answer 76

lol..........! :)

Answer 77

I got to unversal studios hollywood you go to orlandos ;P

Answer 78

XD

Answer 79

Well bye!

Answer 80

YEAH

Answer 81

XD

Answer 82

BYE BYE