What is a Pentagonal Cupola?
A cupola is a polyhedron with two opposite polygons, of which one has twice as many vertices as the other and with alternating triangles and quadrangles as side faces. When all faces of the cupola are regular, then the cupola itself is regular and is a Johnson solid. There are three regular cupolae, the triangular, the square, and the pentagonal cupola. A Pentagonal Cupola has 12 faces, 25 edges, and 15 vertices. Its top surface is a regular pentagon and the base surface is a regular decagon.
How to Calculate Volume of Pentagonal Cupola given Total Surface Area?
Volume of Pentagonal Cupola given Total Surface Area calculator uses Volume of Pentagonal Cupola = 1/6*(5+(4*sqrt(5)))*(Total Surface Area of Pentagonal Cupola/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))))^(3/2) to calculate the Volume of Pentagonal Cupola, The Volume of Pentagonal Cupola given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Cupola and is calculated using the total surface area of the Pentagonal Cupola. Volume of Pentagonal Cupola is denoted by V symbol.
How to calculate Volume of Pentagonal Cupola given Total Surface Area using this online calculator? To use this online calculator for Volume of Pentagonal Cupola given Total Surface Area, enter Total Surface Area of Pentagonal Cupola (TSA) and hit the calculate button. Here is how the Volume of Pentagonal Cupola given Total Surface Area calculation can be explained with given input values -> 2328.304 = 1/6*(5+(4*sqrt(5)))*(1660/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))))^(3/2).