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A geometric solid has 12 faces and 25 vertices. How many vertices does the solid have?

User Flea Whale
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1 Answer

5 votes

Answer: 35

Explanation:

Let's use Euler's formula to solve this problem. According to Euler's formula, for any convex polyhedron (geometric solid with flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2.

We are given that the geometric solid has 12 faces and 25 vertices. Let's call the number of edges "E" and substitute these values into Euler's formula:

12 + 25 - E = 2

Simplifying this equation, we get:

E = 35

Therefore, the geometric solid has 35 edges.

User Tscho
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