Tetrahedron Volume Calculator

Your details

Forward mode uses the edge length as the only input. Reverse mode derives the edge length from a known volume.
All six edges of a regular tetrahedron are equal, so this one measurement fixes the whole solid.
cm
Estimate how much the interior volume costs to fill (e.g. resin, concrete, liquid).
Volume
25.4558cm³
Edge length6cm
Total surface area62.3538cm²
Area of one face15.5885cm²
Height (vertex to face)4.899cm
Inradius (inscribed sphere)1.2247cm
Midsphere radius (edge-tangent sphere)2.1213cm
Circumradius (circumscribed sphere)3.6742cm
Surface-to-volume ratio2.4495cm⁻¹
Inradius1.2247
Midsphere radius2.1213
Circumradius3.6742
Height4.899

Volume is 25.4558 cm³ with 62.3538 cm² of surface.

  • Volume scales with the cube of the edge: doubling the edge multiplies the volume by eight.
  • The circumscribed sphere (through all vertices) has radius 3.6742 cm, exactly three times the inscribed sphere radius of 1.2247 cm.
  • The midsphere (tangent to all six edges) has radius 2.1213 cm, sitting halfway between insphere and circumsphere.
  • Surface-to-volume ratio is 2.4495 cm^-1 - smaller values mean a more compact shape relative to its surface.

Next stepTo convert volume to litres, divide by 1000. 25.4558 cm³ = 0.0255 L.

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