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Regular Tetrahedron Volume — result sheet
Calculate the volume of a regular tetrahedron from its common edge length.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: V=a^3/(6*sqrt(2)) for a regular tetrahedron with all six edges equal to a>0.
A regular tetrahedron has four congruent equilateral triangular faces and six equal edges. Its ideal volume is the cube of the common edge divided by 6 times square root of 2.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Common edge length a — length units; The equal length of all six edges of the regular tetrahedron.; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Common edge length a | 6 |
V=6^3/(6sqrt(2))=36/sqrt(2)=18sqrt(2), approximately 25.455844 cubic units.
Assumptions and limits
- The solid is a regular tetrahedron, so all six edges are equal to the entered positive edge length a.
- The geometry is Euclidean and the edge uses one consistent linear unit; no coordinates, truncation, slant, or irregular vertex placement is inferred.
- The result is ideal enclosed volume only and does not calculate surface area, mass, packing, wall thickness, or manufacturing tolerance.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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