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Q: What 3d shape 5 faces 8 edges 5 vertices?

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Sphere

# of faces + # of edges + # of vertecies + 2

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.

Hexagonal prism

triangular prism

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Sphere

Sphere ( 0 faces , 0 edges , 0 vertices )

# of faces + # of edges + # of vertecies + 2

That 3D shape is called triangular pyramid.

It is a pentagonal based pyramid that has 6 vertices, 6 faces and 10 edges

It is a square based pyramid that has 5 faces, 8 edges and 5 vertices

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.

Nonahedron

An octahedron.

tetrahedron

cube

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