Tetrahedron Calculator

A regular tetrahedron is the simplest three-dimensional solid you can make: a pyramid with four identical equilateral triangle faces, four corners and six equal edges. It is the first of the five Platonic solids and one of the most elegant shapes in geometry, turning up in chemistry as the bond arrangement around a carbon atom, in engineering as the strongest simple frame, in dice and games, in molecular models and in architecture and design. Because every edge is the same length, a single number, the edge length, describes the whole shape, and this calculator turns that one measurement into everything you usually need: the volume enclosed, the total surface area of all four faces, the area of a single triangular face, and the height from the base up to the apex. Enter the edge length and all four results appear instantly and update as you change it. The volume tells you the capacity or material of a tetrahedral form, the surface area is what you need for coating or covering it, the face area is handy when you are cutting or panelling individual triangles, and the height is useful for fitting the solid into a space or building a model. The formulas behind a regular tetrahedron involve square roots of two and three, which are easy to misremember or mis-key, so having them computed correctly removes a common source of error in geometry homework and in practical work. Whether you are a chemistry or maths student, a maker building models, or an engineer working with triangulated structures, this gives a fast, accurate answer. The exact formulas and a worked example are set out below.

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