There are many such shapes, not just two. Here are some:
A nonagonal pyramid
An octagonal prism
A square anti-prism (two square faces, with triangles between them)
A decahedron
A pentagonal bipyramid (two pentagonal pyramids stuck together at their pentagonal faces).
Each one is known as a decahedron (plural decahedra).
octagonal prism and decahedron
The two figures that have 10 faces are the decagonal prism and the decagonal bipyramid. A decagonal prism consists of two decagonal bases and 8 rectangular lateral faces, while a decagonal bipyramid has two decagonal bases connected by triangular lateral faces. Both shapes total 10 faces.
A decahedron. Some decahedron shapes are a nonagon-based pyramid, an octagon based prism, or a pentagon based di-pyramid.
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.
If it also has a pentagonal face then a pentagonal pyramid. Else it does not exist.
octagonal prism and decahedron
octagonal prism and decahedron
DECAHEDRONS
The two figures that have 10 faces are the decagonal prism and the decagonal bipyramid. A decagonal prism consists of two decagonal bases and 8 rectangular lateral faces, while a decagonal bipyramid has two decagonal bases connected by triangular lateral faces. Both shapes total 10 faces.
A ten faced solid is a decahedron.
A decaredra is the ten face solid figure.
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.
A decahedron. Some decahedron shapes are a nonagon-based pyramid, an octagon based prism, or a pentagon based di-pyramid.
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 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