What is the simplest 3D shape?

The tetrahedron (4 triangular faces) is the simplest 3D polyhedron, just as the triangle is the simplest 2D polygon.

How many vertices, edges, and faces does a tetrahedron have?

4 vertices, 6 edges, and 4 equilateral triangular faces.

Is a tetrahedron the same as a triangular pyramid?

Yes, a regular tetrahedron is a specific type of triangular pyramid where all four faces are equilateral triangles.

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Edge Length (a)

A regular tetrahedron is one of the five Platonic solids, consisting of four equilateral triangular faces. It is the simplest and most symmetric 3D shape with flat faces.

Symbol	Name	Unit	Description
a	edge length	length	—
V	volume	length³	—
SA	surface area	length²	—
h	height	length	—

Edge a	Volume	Surface Area	Height
2	0.94	6.93	1.63
4	7.54	27.71	3.27
6	25.46	62.35	4.90
8	60.34	110.85	6.53

References

›Tetrahedron — Wolfram MathWorld

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