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 Total Surface Area of Icosahedron given Insphere Radius?
Total Surface Area of Icosahedron given Insphere Radius calculator uses Total Surface Area of Icosahedron = 5*sqrt(3)*((12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))))^2 to calculate the Total Surface Area of Icosahedron, The Total Surface Area of Icosahedron given Insphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Icosahedron and calculated using the insphere radius of the Icosahedron. Total Surface Area of Icosahedron is denoted by TSA symbol.
How to calculate Total Surface Area of Icosahedron given Insphere Radius using this online calculator? To use this online calculator for Total Surface Area of Icosahedron given Insphere Radius, enter Insphere Radius of Icosahedron (r_{i}) and hit the calculate button. Here is how the Total Surface Area of Icosahedron given Insphere Radius calculation can be explained with given input values -> 742.9463 = 5*sqrt(3)*((12*7)/(sqrt(3)*(3+sqrt(5))))^2.