28
We can check this using smaller prisims, with a triangular prism (3-sided) there are 6 vertices. WIth a rectangular prism (4-sided), there are 8 vertices. The number of vertices in a prism is always twice the number of sides.
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14 vertices
It has 14 Faces, 24 Edges, and 12 Vertices
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.
Faces + Vertices = Edges + 2 This is called Euler's formula. For example a cube has 8 vertices, 6 faces and 12 edges so: 6 + 8 = 12 + 2 14 = 14 The formula works.
There is no 3d shape made up of octagons. An octahedron can be one of several different shapes - but without ANY octagonal faces. For example, A hexagonal pyramid (8 faces, 18 edges, 12 vertices) A heptagonal pyramid (8 faces, 14 edges, 8 vertices) A quadrilateral dipyramid (8 faces, 12 edges, 6 vertices)