Regular Tetrahedron Calculator

A regular tetrahedron is a pyramid with four faces, every one an identical equilateral triangle. All six edges share the same length, and it is the simplest of the five Platonic solids.

The volume equals the edge length cubed divided by six times the square root of two. For an edge of 6 this gives 25.455844, and for a unit edge of 1 it is 0.117851.

A regular tetrahedron has four equilateral faces, so its total surface area is the square root of three times the edge length squared. For an edge of 6 that is 62.353829.

The height is the perpendicular distance from any one vertex straight down to the opposite face. It equals the edge length times the square root of two thirds, so an edge of 6 gives a height of 4.898979.

Each face is an equilateral triangle with area equal to the square root of three over four, times the edge squared. That is exactly one quarter of the total surface area, since there are four equal faces.

A regular tetrahedron is a special triangular pyramid where all four faces are equilateral triangles. General triangular pyramids can have a different base and unequal edges, so this tool covers only the regular case.

Any positive number up to 1000. The unit is yours to choose: an edge in centimeters gives area in square centimeters and volume in cubic centimeters. Zero and negative edges are rejected.

Each value is rounded to six decimal places. Because the formulas involve the irrational constants root two and root three, the outputs are precise approximations rather than terminating decimals.

Yes. Everything is computed in your browser with no server round trip and no account, so your numbers never leave your device.