Octahedron Surface Area Calculator
Quickly calculate the surface area of a regular octahedron by entering the edge length.
Enter Edge Length
Surface Area
Octahedron Visualization
An octahedron is a polyhedron with eight faces, twelve edges, and six vertices. A regular octahedron is one of the five Platonic solids, with each face being an equilateral triangle.
About Octahedron Surface Area
An octahedron is a three-dimensional geometric shape with eight faces. A regular octahedron is composed of eight equilateral triangles, with four meeting at each vertex. To calculate the surface area of a regular octahedron, you need to know the length of one edge (a). The formula for the surface area (SA) is given by: $$SA = 2\sqrt{3} \cdot a^2$$. This calculator simplifies this process, allowing you to quickly find the surface area by just inputting the edge length. Octahedrons are found in various fields, from crystallography to architecture, and understanding their properties is fundamental in geometry and related sciences.
- Definition: A regular polyhedron with eight equilateral triangular faces.
- Formula: Surface Area (SA) = $$2\sqrt{3} \cdot a^2$$, where 'a' is the edge length.
- Use Cases: Calculating material needed for octahedron-shaped structures, educational purposes in geometry, and problems in spatial reasoning.
- Related Concepts: Platonic solids, polyhedra, equilateral triangles, volume of octahedron.