Icosahedron Volume Calculator

Calculate the volume of a regular icosahedron from its edge length.

Enter Edge Length

Volume

units³

Volume Formula

The volume \( V \) of a regular icosahedron with edge length \( a \) is given by the formula:

$$ V = {{5(3 + \sqrt{5})} \over {12}} a^3 $$

Where:

  • \( V \) is the volume of the icosahedron.
  • \( a \) is the length of each edge.

About the Icosahedron Volume Calculator

An icosahedron is a polyhedron with 20 faces, each of which is an equilateral triangle. It is one of the five Platonic solids. This calculator helps you determine the volume of a regular icosahedron, a fundamental shape in geometry, given the length of its edge. Understanding icosahedron volume is useful in various fields, from mathematics and education to computer graphics and architecture. Simply input the edge length to instantly calculate the volume and visualize the 3D shape.

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