There are many such shapes, not just two. Here are some:A nonagonal pyramidAn octagonal prismA square anti-prism (two square faces, with triangles between them)A decahedronA pentagonal bipyramid (two pentagonal pyramids stuck together at their pentagonal faces).Each one is known as a decahedron (plural decahedra).
No shape does. Euler's Formula (vertices + faces = edges + 2) holds true for all shapes. For the given figures, this means: 4 + 6 = 6 + 2 → 10 = 8 but 10 ≠ 8, so the combinations of 4 vertices, 6 edges and 6 faces given does not represent a shape.
A decahedron. Some decahedron shapes are a nonagon-based pyramid, an octagon based prism, or a pentagon based di-pyramid.
If it also has a pentagonal face then a pentagonal pyramid. Else it does not exist.
No, they are not!
octagonal prism and decahedron
DECAHEDRONS
A ten faced solid is a decahedron.
A decaredra is the ten face solid figure.
There are many such shapes, not just two. Here are some:A nonagonal pyramidAn octagonal prismA square anti-prism (two square faces, with triangles between them)A decahedronA pentagonal bipyramid (two pentagonal pyramids stuck together at their pentagonal faces).Each one is known as a decahedron (plural decahedra).
Well, honey, I hate to break it to you, but that solid you're talking about is a triangular prism. It's got 17 faces, 15 edges, and 10 vertices. So, there you have it - a triangular prism strutting its stuff with all those faces, edges, and vertices.
See All Her Faces was created on 1972-11-10.
No shape does. Euler's Formula (vertices + faces = edges + 2) holds true for all shapes. For the given figures, this means: 4 + 6 = 6 + 2 → 10 = 8 but 10 ≠ 8, so the combinations of 4 vertices, 6 edges and 6 faces given does not represent a shape.
A decahedron. Some decahedron shapes are a nonagon-based pyramid, an octagon based prism, or a pentagon based di-pyramid.
A 10-sided shape is known as a decagon.(A decahedron is a 3-dimensional solid with 10 polygonal faces.)
A prism that has pentagonal cross-section
For all polyhedra: vertices + faces = edges + 2 The given fact is: edges = vertices + 10 → vertices + faces = vertices + 10 + 2 → faces = 12