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Regular Tetrahedron Volume Calculator.

Calculate a regular tetrahedron's volume and surface area from its edge.

On-device calculationNo signup
01

Set your values

Results update as you type.

volume: 14.73139127

volume

0.00000000
surfaceArea: 43.30127019

surfaceArea

0.00000000

Results update automatically as you type.

Calculate a regular tetrahedron's volume and surface area from its edge.

Use Cases

Geometry homework and exams

Quickly verify your manual calculations for volume and surface area of a regular tetrahedron, ensuring accuracy in assignments or test prep.

Example: Check the volume of a tetrahedron with edge length 5 cm.

Design and architecture

Estimate material volume or surface area for tetrahedral structures, such as decorative pieces, tents, or architectural elements.

Example: Calculate surface area for a tetrahedral glass pyramid with edge length 2 m.

Frequently Asked Questions

What is a regular tetrahedron?
A regular tetrahedron is a three-dimensional shape with four equilateral triangular faces, six equal edges, and four vertices. All faces and edges are identical, making it one of the five Platonic solids.
How do I use this calculator?
Simply enter the edge length of your regular tetrahedron in the provided field. The calculator will instantly compute both the volume and surface area using the standard formulas: V = a³/(6√2) and A = √3 * a².
What units should I use for edge length?
You can use any unit of length (e.g., cm, m, inches). The volume will be in cubic units and the surface area in square units, corresponding to the unit you entered.

Tips & Common Mistakes

Tips

  • Ensure the edge length is positive; zero or negative values will produce invalid results.
  • Use consistent units for edge length to get correct volume and surface area units.
  • For quick mental checks, remember volume ≈ 0.11785 * a³ and surface area ≈ 1.73205 * a².
  • Double-check your input if the result seems too large or small; a small change in edge length significantly affects volume.

Common Mistakes to Avoid

  • Confusing volume and surface area formulas: volume uses edge cubed, surface area uses edge squared.
  • Entering diameter or radius instead of edge length; this calculator only accepts edge length.
  • Forgetting to convert units (e.g., mixing cm and m) before entering the edge length.

Last updated: August 13, 2026