Question

Use Euler's Formula to find the missing number Faces:27 Vertices:20

Answers

Answered by 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 formula F + V = E + 2.

Given that the polyhedron has 27 faces and 20 vertices, we can plug these values into Euler's formula:

27 (faces) + 20 (vertices) = E (edges) + 2
47 = E + 2
E = 45

Therefore, the missing number is the number of edges, which is 45.
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