Q: What 3-d shape has 8 vetices and 12 edges?

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triangle

Hexagonal prism

According to Euler none; for all 3d shapes: Vertices + Faces = Edges + 2 ⇒ 12 + 8 = 19 + 2 ⇒ 20 = 21 So unless 20 does equal 21, no 3d shape has 8 faces, 19 edges and 12 vertices. Any 3d shape with 8 faces would be an octahedron.

it can have 12 edges any 3d square can

A hexagonal based prism.

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A cube

It has 12 edges and 6 faces

a cube

A cube or a cuboid could have 12 edges, 8 vertices, and 6 faces.

An isosahedrons has 12 edges many. A cube is one example.

A hexagonal prism.

a cube or cuboid

Hexagonal prism

According to Euler none; for all 3d shapes: Vertices + Faces = Edges + 2 ⇒ 12 + 8 = 19 + 2 ⇒ 20 = 21 So unless 20 does equal 21, no 3d shape has 8 faces, 19 edges and 12 vertices. Any 3d shape with 8 faces would be an octahedron.

A 3D shape that has 6 edges is called a hexagonal prism.

cube!