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A nonahedron is a nine-faced polyhedron, also known as an enneahedron. The number of vertices in a nonahedron can be calculated using Euler's formula, which states that for any polyhedron, the number of vertices (V), edges (E), and faces (F) are related by the equation V - E + F = 2. A nonahedron has 9 faces, so substituting F = 9 into the formula gives V - E + 9 = 2. Since the nonahedron has 9 faces and each face is a polygon with 3 sides, the total number of edges is 9 * 3 / 2 = 13. Therefore, the number of vertices in a nonahedron can be calculated as V - 13 + 9 = 2, which simplifies to V = 6.

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2mo ago

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Related Questions

What 3d shape has 9 faces and 6 vertices?

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Let's suppose you mean How many vertices does a nonahedron have? And the answer is, It depends. A nonahedron is a solid with nine faces. There is no regular nonahedron (look up "Regular solid" anywhere, say on Wikipedia). You could make a nonahedron bytaking a cube (6 square faces, 12 vertices) and slicing off 3 of the vertices to add 3 triangular faces (and making their adjacent original faces no longer square); this solid has 16 verticestaking a regular octahedron (8 triangular faces, 6 vertices) and slicing off one vertex to add one square face (the four adjacent original faces are now trapezoids): 9 verticesshaving down 5 of the edges to add 5 long narrow faces... and I can't visualize this one well enough to count the verticesor slicing off all 4 vertices (adding 4 small triangular faces and making the original faces hexagonal) and shaving one edge (adding a long rectangular face and changing the faces at the ends of the original edge from small triangles to trapezoids): 14 vertices, if I've got it right.taking a tetrahedron (4 faces, 6 edges, 4 vertices) andor countless other ways, yielding many different counts of vertices. ... Well, I'm sure they could be counted, but I'm not about to do it now.


What is a 9 sided 3D shape called?

nonahedron


What is the definition of nonahedron?

A nonahedron is a nine faced polyhedron. A nonahedron is also known as a enneahedron. There are 2606 distinct convex nonahedra.


What polyhedron has 9 faces?

A nonahedron.


Is there a definition for the word nonahedron?

Yes there is.


How edges does a nonahedron have?

88 i think...


What is a 9 sided polyhedron called?

nonahedron


What is a 9 sided 3D shape?

A nonahedron