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The surface area of an icosahedron is the total area of all the faces of the polyhedron. An icosahedron is a three-dimensional geometric shape that has 20 equilateral triangular faces, 30 edges, and 12 vertices. It is a regular polyhedron, meaning that all of its faces are congruent to each other and all of its vertices are equidistant from the center of the shape.
The surface area of an icosahedron is often used in mathematics and geometry to calculate the area of complex three-dimensional shapes. It is also used in architecture and design to create structures and objects with a unique and eye-catching appearance.
The formula for determining the surface area of an icosahedron is defined as:
\(SA\): the surface area of the icosahedron
\(a\): the length of any side
The SI unit of surface area is: \(square \text{ } meter\text{ }(m^2)\)
Find \(SA\)
Use this calculator to determine the surface area of an icosahedron when the length of any side is given.
