What is a Truncated Dodecahedron?
In geometry, the Truncated Dodecahedron is an Archimedean solid. It has a total of 32 faces - 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. Each vertex is identical in such a way that two decagonal faces and one triangular face join at each vertex. This polyhedron can be formed from a dodecahedron by truncating (cutting off) the corners so the pentagon faces become decagons and the corners become triangles. The Truncated Dodecahedron has five special orthogonal projections, centered, on a vertex, on two types of edges, and two types of faces: hexagonal and pentagonal.
How to Calculate Volume of Truncated Dodecahedron given Circumsphere Radius?
Volume of Truncated Dodecahedron given Circumsphere Radius calculator uses Volume of Truncated Dodecahedron = 5/12*(99+(47*sqrt(5)))*((4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5)))))^3 to calculate the Volume of Truncated Dodecahedron, Volume of Truncated Dodecahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Dodecahedron, and calculated using the circumsphere radius of the Truncated Dodecahedron. Volume of Truncated Dodecahedron is denoted by V symbol.
How to calculate Volume of Truncated Dodecahedron given Circumsphere Radius using this online calculator? To use this online calculator for Volume of Truncated Dodecahedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Dodecahedron (rc) and hit the calculate button. Here is how the Volume of Truncated Dodecahedron given Circumsphere Radius calculation can be explained with given input values -> 87691.54 = 5/12*(99+(47*sqrt(5)))*((4*30)/(sqrt(74+(30*sqrt(5)))))^3.