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 Height of Tetrahedron given Face Area?
Height of Tetrahedron given Face Area calculator uses Height of Tetrahedron = sqrt((8*Face Area of Tetrahedron)/(3*sqrt(3))) to calculate the Height of Tetrahedron, The Height of Tetrahedron given Face Area formula is defined as the vertical distance from any vertex of the Tetrahedron to the face which is directly opposite to that vertex, and calculated using the face area of the Tetrahedron. Height of Tetrahedron is denoted by h symbol.
How to calculate Height of Tetrahedron given Face Area using this online calculator? To use this online calculator for Height of Tetrahedron given Face Area, enter Face Area of Tetrahedron (A_{Face}) and hit the calculate button. Here is how the Height of Tetrahedron given Face Area calculation can be explained with given input values -> 8.323583 = sqrt((8*45)/(3*sqrt(3))).