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Summary Table of Vertices, Edges, Faces of 3D Shapes

Table of vertices, edges and faces of 3D shapes

Shape No. of vertices No. of edges No. of faces
Cube 8 12 6
Cuboid 8 12 6
Cylinder 0 2 3
Sphere 0 0 1
Cone 1 1 2
Prism 6 9 5
Triangular pyramid 4 6 4
Quadrilateral pyramid 5 8 5

Euler’s formula

Euler’s formula is used to find number of faces or number of vertices or number of edges.

Formula

Euler’s formula
F + V = E + 2

Example

So, let’s validate Euler’s formula for cube:
V = 8, E = 12, F = 6
Using Euler’s formula, F + V = E + 2    
∴ 6 + 8 = 12 + 2
14 = 14

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Last updated on: 07-09-2025
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