Question
Use Euler's formula to find the number of faces in a figure with 18 edges and 8 vertices.(1 point)
Answers
GPT 3.5
Euler's formula states that for a polyhedron, the number of faces (F), vertices (V), and edges (E) are related by the equation F + V - E = 2.
Given that there are 18 edges and 8 vertices, we can substitute these values into Euler's formula:
F + 8 - 18 = 2
F - 10 = 2
F = 12
Therefore, the figure has 12 faces.
Given that there are 18 edges and 8 vertices, we can substitute these values into Euler's formula:
F + 8 - 18 = 2
F - 10 = 2
F = 12
Therefore, the figure has 12 faces.