A convex polyhedron has faces that consist of 6 squares and 8 triangles. The polyhedron has 24 edges. How many

vertices does it have

Euler's formula: V + F = E + 2

O 12

O 18

12

Step-by-step explanation:

The euler's formula said that

V + C = E + 2

Where V is the number of vertices, C is the number of faces and E is the number of edges.

Adittionally, this convex polyhedron has 14 faces, because there are 6 squares and 8 triangles.

6 + 8 = 14

So, replacing C by 14, E by 24 and solving for V, we get:

V + 14 = 24 + 2

V = 24 + 2 - 14

V = 12

A convex polyhedron has 12 vertices.