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 Surface to Volume Ratio of Icosahedron given Circumsphere Radius?
Surface to Volume Ratio of Icosahedron given Circumsphere Radius calculator uses Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))) to calculate the Surface to Volume Ratio of Icosahedron, The Surface to Volume Ratio of Icosahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Icosahedron and is calculated using the circumsphere radius of the Icosahedron. Surface to Volume Ratio of Icosahedron is denoted by R_{A/V} symbol.
How to calculate Surface to Volume Ratio of Icosahedron given Circumsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Icosahedron given Circumsphere Radius, enter Circumsphere Radius of Icosahedron (r_{c}) and hit the calculate button. Here is how the Surface to Volume Ratio of Icosahedron given Circumsphere Radius calculation can be explained with given input values -> 0.41947 = (12*sqrt(3))/((3+sqrt(5))*((4*9)/(sqrt(10+(2*sqrt(5)))))).