Understanding Edges in Shapes
When we talk about geometric shapes, it's essential to understand what edges are. An edge is a line segment where two faces of a solid meet. Let’s explore the options provided:
Option A: Sphere
- A sphere is perfectly round and has no flat surfaces.
- It is a three-dimensional shape, resembling a ball.
- Since it has no corners or flat surfaces, it also lacks edges.
Option B: Cube
- A cube is a three-dimensional shape with six square faces.
- Each face meets another face at a line segment, which forms an edge.
- A cube has a total of 12 edges.
Option C: Cylinder
- A cylinder consists of two circular bases and a curved surface connecting them.
- The circular bases have edges where the base meets the curved surface.
- Therefore, a cylinder has two edges.
Option D: Cone
- A cone has a circular base and a pointed apex.
- The base of the cone forms an edge where it connects to the curved surface.
- Thus, a cone has one edge.
Conclusion
From the analysis, it is clear that:
- The sphere stands out as the only shape that has no edges, as it is a continuous, smooth surface without any vertices or corners.
- The cube, cylinder, and cone all have distinct edges formed by their respective faces and surfaces.
In summary, the correct answer is option 'A' - the sphere.