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A truncated octahedron has x corners, y square faces, and z hexagonal faces. What is the value of z - x/y?

1. 4
2. 2
3. 6
4. 8

Correct answer: 4

Solution

A truncated octahedron has 24 vertices (x=24), 6 square faces (y=6), and 8 hexagonal faces (z=8). Substituting: z - x/y = 8 - 24/6 = 8 - 4 = 4.

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