Which regular polyhedron has eight vertices?

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Multiple Choice

Which regular polyhedron has eight vertices?

Explanation:
The number of vertices helps distinguish regular solids. A cube has eight corners, so it has eight vertices. Among the regular polyhedra, only the cube has eight vertices; the others have different counts—four for the tetrahedron, six for the octahedron, and twenty for the dodecahedron. This also aligns with Euler’s formula for convex polyhedra, V − E + F = 2: for a cube, 8 − 12 + 6 = 2, confirming the eight-vertex structure.

The number of vertices helps distinguish regular solids. A cube has eight corners, so it has eight vertices. Among the regular polyhedra, only the cube has eight vertices; the others have different counts—four for the tetrahedron, six for the octahedron, and twenty for the dodecahedron. This also aligns with Euler’s formula for convex polyhedra, V − E + F = 2: for a cube, 8 − 12 + 6 = 2, confirming the eight-vertex structure.

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