What is an Antiprism?
In geometry, an n-gonal antiprism or n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles. Antiprisms are a subclass of prismatoids and are a (degenerate) type of snub polyhedron. Antiprisms are similar to prisms except that the bases are twisted relatively to each other, and that the side faces are triangles, rather than quadrilaterals. In the case of a regular n-sided base, one usually considers the case where its copy is twisted by an angle of 180/n degrees. Extra regularity is obtained when the line connecting the base centers is perpendicular to the base planes, making it a right antiprism. As faces, it has the two n-gonal bases and, connecting those bases, 2n isosceles triangles.
How to Calculate Surface to Volume Ratio of Antiprism given Total Surface Area?
Surface to Volume Ratio of Antiprism given Total Surface Area calculator uses Surface to Volume Ratio of Antiprism = (6*(sin(pi/Number of Vertices of Antiprism))^2*(cot(pi/Number of Vertices of Antiprism)+sqrt(3)))/(sin((3*pi)/(2*Number of Vertices of Antiprism))*sqrt(4*(cos(pi/(2*Number of Vertices of Antiprism))^2)-1)*sqrt(Total Surface Area of Antiprism/(Number of Vertices of Antiprism/2*(cot(pi/Number of Vertices of Antiprism)+sqrt(3))))) to calculate the Surface to Volume Ratio of Antiprism, The Surface to Volume Ratio of Antiprism given Total Surface Area formula is defined as the fraction of the surface area to the volume of Antiprism, calculated using the total surface area of Antiprism. Surface to Volume Ratio of Antiprism is denoted by RA/V symbol.
How to calculate Surface to Volume Ratio of Antiprism given Total Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Antiprism given Total Surface Area, enter Number of Vertices of Antiprism (NVertices) & Total Surface Area of Antiprism (TSA) and hit the calculate button. Here is how the Surface to Volume Ratio of Antiprism given Total Surface Area calculation can be explained with given input values -> 0.491336 = (6*(sin(pi/5))^2*(cot(pi/5)+sqrt(3)))/(sin((3*pi)/(2*5))*sqrt(4*(cos(pi/(2*5))^2)-1)*sqrt(780/(5/2*(cot(pi/5)+sqrt(3))))).