tinziprincess tinziprincess
  • 21-01-2024
  • Mathematics
contestada

A solid object has 9 vertices and 16 edges. What is the number of faces of that solid object

Respuesta :

jimrgrant1 jimrgrant1
  • 21-01-2024

Answer:

number of faces = 9

Step-by-step explanation:

Euler's formula for polyhedra states that

F + V - E = 2

F is the number of faces, V the nummber of vertices , E the number of edges.

given

V = 9 and E = 16 , then substituting these values into the formula

F + 9 - 16 = 2

F - 7 = 2 |( add 7 to both sides )

F = 9

The solid object has 9 faces.

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