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Geometry 18 Online
OpenStudy (anonymous):

How many faces does a hexahedron have

OpenStudy (anonymous):

6 faces

OpenStudy (anonymous):

hexahedron in a simply-connected space will have 8 vertices, as others have suggested. A regular hexahedron is commonly called a cube, and there are also rectangular prisms or other possible forms, but the cube is a good model for counting the vertices.

OpenStudy (anonymous):

A Cube (Hexahedron) has: 6 Faces 12 Edges 8 Vertices

OpenStudy (anonymous):

A hexahedron in a simply-connected space will have 8 vertices, as others have suggested. A regular hexahedron is commonly called a cube, and there are also rectangular prisms or other possible forms, but the cube is a good model for counting the vertices. Regardless of the form of the hexahedron, for simply-connected spaces, the Euler Characteristic is 2, giving the formula 2 = V - E + F, where V is the number of vertices, E is the number of edges and F is the number of faces. In this case we have 2 = V - 12 + 6, or V = 2 + 12 - 6 = 8.

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