What are Platonic Solids?
In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.
How to Calculate Insphere Radius of Octahedron given Total Surface Area?
Insphere Radius of Octahedron given Total Surface Area calculator uses Insphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/sqrt(6) to calculate the Insphere Radius of Octahedron, Insphere Radius of Octahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Octahedron in such a way that all the faces just touch the sphere, and is calculated using the total surface area of the Octahedron. Insphere Radius of Octahedron is denoted by ri symbol.
How to calculate Insphere Radius of Octahedron given Total Surface Area using this online calculator? To use this online calculator for Insphere Radius of Octahedron given Total Surface Area, enter Total Surface Area of Octahedron (TSA) and hit the calculate button. Here is how the Insphere Radius of Octahedron given Total Surface Area calculation can be explained with given input values -> 4.103582 = sqrt(350/(2*sqrt(3)))/sqrt(6).