if the platonic solid has 8 vertices and 12 edges calculate the number of faces
how to calculate the number of faces
Eulers Formula relating
Vertices, Edges and Faces:
V - E + F = 2
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To calculate the number of faces in a solid, we can use Euler's formula, which states that for any polyhedron (a solid with flat faces and straight edges), the number of vertices (V), the number of edges (E), and the number of faces (F) are related by the equation V - E + F = 2.
Given that the platonic solid has 8 vertices (V = 8) and 12 edges (E = 12), we can substitute these values into the formula:
8 - 12 + F = 2
Next, we can simplify the equation:
F - 4 = 2
Finally, we isolate F by adding 4 to both sides of the equation:
F = 2 + 4
Therefore, the number of faces (F) in this platonic solid is 6.