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 Tetrahedron given Total Surface Area?
Insphere Radius of Tetrahedron given Total Surface Area calculator uses Insphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(6)) to calculate the Insphere Radius of Tetrahedron, The Insphere Radius of Tetrahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Tetrahedron in such a way that all the faces just touching the sphere, calculated using total surface area of Tetrahedron. Insphere Radius of Tetrahedron is denoted by r_{i} symbol.
How to calculate Insphere Radius of Tetrahedron given Total Surface Area using this online calculator? To use this online calculator for Insphere Radius of Tetrahedron given Total Surface Area, enter Total Surface Area of Tetrahedron (TSA) and hit the calculate button. Here is how the Insphere Radius of Tetrahedron given Total Surface Area calculation can be explained with given input values -> 2.022267 = sqrt(170/(sqrt(3)))/(2*sqrt(6)).