Which 3D shape has no edges, faces, or vertices?
The 3D shape that has no edges, faces, or vertices is a sphere.
The 3D shape that has no edges, faces, or vertices is a mathematical concept called a "sphere."
To understand why a sphere fits this definition, let's break it down:
1. Edges: An edge is a line segment where two faces of a shape meet. Since a sphere has no flat surfaces or faces, it also lacks any edges.
2. Faces: A face is a flat surface of a shape that encloses a defined area. In the case of a sphere, it doesn't have any flat surfaces. Instead, a sphere is made up of infinitely many points on its curved surface, resulting in no distinct faces.
3. Vertices: A vertex is a point where edges of a shape intersect. Since a sphere has no edges, it also lacks any vertices.
Therefore, a sphere meets the criteria of having no edges, faces, or vertices, making it the 3D shape that fits this description.