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Regular Tetrahedron Volume Calculator

Find the volume of a regular tetrahedron from its edge length, plus surface area, height, circumradius and inradius.

Input

Enter the edge length of a regular tetrahedron to compute its volume, surface area, height, circumradius and inradius.

Result

a = 6

Volume

25.455844

Surface area

62.353829

Height

4.898979

Circumradius

3.674235

Inradius

1.224745


Lengths share the unit of the input value, while area uses its square and volume uses its cube.

How it works

  • The volume is V equals a³ divided by 6√2, where a is the edge length.
  • The surface area equals four equilateral triangles, S equals √3 times a², and the height is h equals √(2 divided by 3) times a.
  • The circumradius is R equals √6 divided by 4 times a and the inradius is r equals √6 divided by 12 times a, giving a ratio R to r of 3 to 1.
  • Lengths share the unit of the input value, while area uses its square and volume uses its cube.

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