Question

guided practice
find the number of edges on this polyhedron. first count the number of faces f and vertices v. then use euler’s formula: f + v = e + 2. solve for e.
type your answer and then click or tap done.
the number of edges on this octahedron is

Explanation:

Step1: Count faces (F)

The octahedron has 8 triangular faces, so $F=8$.

Step2: Count vertices (V)

The octahedron has 6 vertices, so $V=6$.

Step3: Apply Euler's formula

Euler's formula: $F + V = E + 2$. Rearrange to solve for $E$: $E = F + V - 2$. Substitute values: $E = 8 + 6 - 2 = 12$.

Answer:

12