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A frustum of a cone.

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The solid you are describing is called a cylinder. It has two circular faces, one curved face, and no vertices.

Q: What is the name of the solid with 2 plain faces 1 curved face and no vertices?

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Assuming that a solid triangle is a tetrahedron, the answer is: faces: 4 edges: 6 vertices: 4

a pyramid

The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.

It has 6 faces, 12 edges and 8 vertices

A cube.

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A face, of a solid object, is a flat surface. If it is curved it is called a curved surface though sometimes it is also referred to as a face. Two faces meet at an edge, which is a line which may be straight or curved. Three or more faces meet at a point which is a vertex.

A sphere has no flat face and no vertices. It does have a curved surface; so it depends upon your definition of a face.

Assuming that a solid triangle is a tetrahedron, the answer is: faces: 4 edges: 6 vertices: 4

A solid figure with eight vertices and all faces of equal size is called a cube. Each face of a cube is a square, and a cube has 8 vertices and 6 faces.

a sphere

A rectangular pyramid (four-sided base) has 5 faces and 5 vertices.

a pyramid

The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.

It has 6 faces, 12 edges and 8 vertices

Tetrahedron: 4 equilateral triangle faces and 4 vertices.

sphere

There is no such polyhedron.