Question

Use Euler’s Formula to find the missing number.

Faces: 25
Vertices: 17
Edges: ?
(1 point)
Responses

43
43

41
41

39
39

40

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is 41.

Euler's formula states that for any polyhedron (a three-dimensional solid with flat faces), the number of faces (F), vertices (V), and edges (E) are related by the equation F + V - E = 2.

Given:
F = 25
V = 17

Let's plug in the values into Euler's formula to find E:
25 + 17 - E = 2
42 - E = 2
-E = 2 - 42
-E = -40

Multiply both sides by -1 to solve for E:
E = 40

So, the missing number of edges is 40.