Understanding the faces, edges, and vertices of 3D (three-dimensional) solid shapes is a core topic in Class 8 Mathematics. Here are the edge counts for a Cone and a Cuboid with explanation.
Euler's Formula (F + V − E = 2) works for all simple polyhedra (3D shapes without holes). It was discovered by the Swiss mathematician Leonhard Euler in 1758.
A Cone has 1 Edge.
A cone has:
Note: The 'edge' of a cone is actually a curved edge (a circle), not a straight edge.
A Cuboid has 12 Edges.
A cuboid (box shape) has:
Euler's Formula for 3D Shapes: F + V − E = 2 (where F=Faces, V=Vertices, E=Edges)
| Shape | Faces | Vertices | Edges |
|---|---|---|---|
| Cone | 2 | 1 | 1 |
| Cuboid | 6 | 8 | 12 |
| Cube | 6 | 8 | 12 |
| Cylinder | 3 | 0 | 2 |
| Sphere | 1 | 0 | 0 |
Yes! The sharp pointed tip of a cone is called its **apex** or **vertex**. However, some textbooks do not count it as a vertex since the definition of a vertex typically applies to polyhedra (flat-faced solids). A cone is not a polyhedron as it has a curved surface.
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