Triangular Pyramid (Tetrahedron) Calculator

cm
Side length of the equilateral triangular base
cm
Perpendicular height from base to apex
Math Updated 16 Jun 2026

Triangular Pyramid (Tetrahedron) Calculator is a mathematics calculator that helps you calculate triangular pyramid (tetrahedron) values from your input data. The formula used is: Base Area = (√3/4)b²; V = (1/3)×Base Area×h; Slant = √(h²+(b/√3)²); Lateral = 3×(½×b×slant). Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.

Formula

Base Area = (√3/4)b²; V = (1/3)×Base Area×h; Slant = √(h²+(b/√3)²); Lateral = 3×(½×b×slant)

Example Calculation

Inputs
  • Base Side (equilateral): 5 cm
  • Height: 7 cm

Suppose you enter: Base Side (equilateral) = 5, Height = 7. The calculator applies the formula (Base Area = (√3/4)b²; V = (1/3)×Base Area×h; Slant = √(h²+(b/√3)²); Lateral = 3×(½×b×slant)) and shows all output values below. Change any input field to immediately see how the result changes.

Frequently asked questions

What is the Triangular Pyramid (Tetrahedron)?
The Triangular Pyramid (Tetrahedron) Calculator is a mathematics calculator that helps you calculate triangular pyramid (tetrahedron) values from your input data. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.
When should I use this calculator?
Use this calculator whenever you need a quick, accurate result for triangular pyramid (tetrahedron) values from your input data without working through the arithmetic manually.
What units should I enter?
Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.
How accurate are the results?
Results are mathematically exact given the formula and your inputs. Rounding to decimal places may introduce small display differences.
How do I interpret the result?
Check that all inputs are in the valid range for the formula. Some operations (e.g. square root, division) require non-negative or non-zero values.
How can I verify the calculation manually?
Use the displayed formula and work through the numbers step by step. If your manual result differs slightly, check rounding and unit conversions first.
Can I use this for planning and budgeting?
Yes. Run best-case, expected, and worst-case inputs to compare outcomes and make safer planning decisions.

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