Aconvex polyhedron has faces that consist of 6 octagons, 8 hexagons, and 12 squares. the polyhedron has 48 vertices. how many edges does it have?

euler’s formula: v + f = e + 2

24
26
72
74

Option C is correct.

Step-by-step explanation:

We are given Euler's Formula,

V + F = E + 2

where V = number of vertex

           F = Number of faces

           E = Number of Edges

Convex polyhedron has 6 octagons , 8 hexagons and 12 square as faces.

⇒ Number of faces , F = 6 + 8 + 12 = 26

Number of vertices , V = 48

We have to find : Number of edges.

Using Euler's formula,

48 + 26 = E + 2

E = 74 - 2

E = 72

Therefore, Option C is correct.