From an edge
Edge a
V = a³/(6√2); S = √3 a²
Open calculator ↗GEOMETRY, ONE FIGURE AT A TIMERegular tetrahedron.
Regular tetrahedron.
Understand every measure.
Four equal triangular faces in space. Four free tools, clear formulas and a little discovery along the way.
Find your calculator ↗FIGURE 223D / REFERENCE DRAWING
REGULAR TETRAHEDRONNOT TO SCALE
THE CALCULATOR DESK
Start with what you know.
4 calculators available
From volume
Volume V
a = ∛(6√2 V)
Open calculator ↗From height
Height h
a = h√(3/2)
Open calculator ↗From total surface area
Total surface area S
a = √(S/√3)
Open calculator ↗MEET THE FIGURE
A regular tetrahedron, explained.
A regular tetrahedron has four congruent equilateral triangular faces, six equal edges and four vertices. Three faces meet at each vertex. An arbitrary tetrahedron is not determined by one edge and is outside these calculators.
Understand the properties ↗LOOK A LITTLE CLOSER
More than a formula.
It is the simplest Platonic solid by number of faces.
These formulas require all six edges to be equal. A face altitude and the solid’s vertical height are different.
Explore three geometry facts ↗These tools use ideal Euclidean geometry. Every input must use the same unit. Numerical results are rounded and do not replace measurement, specialist design or safety checks. See worked examples.