SOLUTION: if a polyhedron has 9 faces and 15 vertices, how many edges does it have?

SOLUTION: if a polyhedron has 9 faces and 15 vertices, how many edges does it have?

Algebra.Com

Question 439306: if a polyhedron has 9 faces and 15 vertices, how many edges does it have?
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
if a polyhedron has 9 faces and 15 vertices, how many edges does it have?



Euler's polyhedron formula is

 V - E + F = 2

15 - E + 9 = 2

    24 - E = 2

        -E = -22
     
         E = 22 
Edwin

RELATED QUESTIONS
Joe is holding a solid material shaped in the form of a simple polyhedron that has four... (answered by addingup)

Use Euler's formula to answer the question. A polyhedron has 15 vertices and 31 edges. (answered by Theo)

How many vertices are of a polyhedron having 12 faces and 17... (answered by ikleyn)

Hi just need some help to make sure I am doing this problem correctly. Using the... (answered by Theo)

If the bottom face of a pyramid has n sides, how many faces, edges, and vertices will it (answered by greenestamps,math_tutor2020)

A cube has 8 vertices, 12 edges, and 6 square faces. A soccer ball has 12 pentagonal... (answered by ikleyn)

hi i am a student of grade 2 and i have a question in my home work that how many... (answered by josmiceli)

A polyhedron with 6 vertices and 12 edges is shown below. What is the total number of... (answered by AnlytcPhil)

If possible, draw an equilateral quadrilateral that is not regular. If not possible,... (answered by Alan3354)