Regular Tetrahedron Calculator
Enter the edge length of a regular tetrahedron, a pyramid with four equal equilateral triangle faces, to find its volume, surface area, height and face area.
How to use the tetrahedron calculator
- Enter the edge length, the same for all six edges.
- Read the volume and total surface area instantly.
- See the height and the area of a single triangular face too.
Examples
Edge length 6
edge = 6
volume = 25.4558, surface area = 62.3538, height = 4.8990, face area = 15.5885
Edge length 1 (unit tetrahedron)
edge = 1
volume = 0.1179, surface area = 1.7321, height = 0.8165, face area = 0.4330
Frequently asked questions
What is a regular tetrahedron?
A regular tetrahedron is a pyramid with four faces, all of which are identical equilateral triangles. Every edge has the same length.
What is the formula for the volume of a tetrahedron?
The volume equals the edge length cubed divided by six times the square root of two. For an edge of 1 this gives about 0.1179.
How is the surface area found?
A regular tetrahedron has four equilateral faces, so the surface area equals the square root of three times the edge length squared.
What does the height represent?
The height is the perpendicular distance from one vertex to the opposite face. It equals the edge length times the square root of two thirds.
Is a tetrahedron the same as a triangular pyramid?
A regular tetrahedron is a special triangular pyramid where all faces are equilateral triangles. Triangular pyramids in general can have unequal edges.
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