A polyhedron has 10 faces and 24 edges. Use Euler's Formula to find the missing number of vertices.

• :  Euler's Formula : V - E + F = 2 
  
  Given that F = 10 and E = 24
  
  V - 24 + 10  = 2
  V - 14  = 2
  V = 16
  
  Answer: Vertices = 16
• Maggiegirl: hey user!!
  
  your answer is here...
  
  we know that Euler's formula = F + V - E = 2
  
  given :-
  
  faces = 10
  
  verticies = ?
  
  edges = 24
  
  therefore F + V - E = 2
  
  ==> 10 + V - 24 = 2
  
  ==> -14 + V = 2
  
  ==> V = 2 + 14
  
  ==> V = 16
  
  verification :-
  
  = F + V - E
  
  = 10 + 16 - 24
  
  = 26 - 24
  
  = 2
  
  hence verified..
  
  thus the no. of verticies of the polyhedron is 16.
  
  cheers!!