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## Surface area of Antiprism Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_area = (Number Of Vertices/2)*(cot(pi/Number Of Vertices)+sqrt(3))*(Side^2)
SA = (n/2)*(cot(pi/n)+sqrt(3))*(s^2)
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cot - Trigonometric cotangent function, cot(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Number Of Vertices- Number Of Vertices is the number of vertices in the given two dimensional figure.
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Number Of Vertices: 1 --> No Conversion Required
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SA = (n/2)*(cot(pi/n)+sqrt(3))*(s^2) --> (1/2)*(cot(pi/1)+sqrt(3))*(9^2)
Evaluating ... ...
SA = NaN
STEP 3: Convert Result to Output's Unit
NaN Square Meter --> No Conversion Required
NaN Square Meter <-- Surface Area
(Calculation completed in 00.031 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Total Surface Area of a Pyramid
total_surface_area = Side*(Side+sqrt(Side^2+4*(Height)^2)) Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Lateral Surface Area of a Pyramid
lateral_surface_area = Side*sqrt(Side^2+4*(Height)^2) Go
Surface Area of a Capsule
Volume of a Capsule
Area of a Octagon
area = 2*(1+sqrt(2))*(Side)^2 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Base Surface Area of a Pyramid
base_surface_area = Side^2 Go
Surface Area of a Cube
surface_area = 6*Side^2 Go
Volume of a Cube
volume = Side^3 Go

## < 11 Other formulas that calculate the same Output

Surface Area of Cuboid
Surface Area of a Rectangular Prism
surface_area = 2*(Length*Width+Length*Height+Width*Height) Go
Surface Area of triangular prism
surface_area = (Base*Height)+(2*Length*Side)+(Length*Base) Go
Surface Area of a Capsule
Surface Area of Prisms
surface_area = (2*Base Area)+(Height*Base Perimeter) Go
Surface Area of Dodecahedron
surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2) Go
Surface Area of Regular Octahedron
surface_area = 2*(sqrt(3))*(Side^2) Go
Surface Area of Icosahedron
surface_area = 5*(sqrt(3))*(Side^2) Go
Surface Area of Regular Tetrahedron
surface_area = (sqrt(3))*(Side^2) Go
Surface Area of a Sphere
Surface Area of a Cube
surface_area = 6*Side^2 Go

### Surface area of Antiprism Formula

surface_area = (Number Of Vertices/2)*(cot(pi/Number Of Vertices)+sqrt(3))*(Side^2)
SA = (n/2)*(cot(pi/n)+sqrt(3))*(s^2)

## 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 area of Antiprism?

Surface area of Antiprism calculator uses surface_area = (Number Of Vertices/2)*(cot(pi/Number Of Vertices)+sqrt(3))*(Side^2) to calculate the Surface Area, The Surface area of Antiprism formula is defined as measure of the total area that the surface of the object occupies of a Antiprism, where a =Antiprism edge. . Surface Area and is denoted by SA symbol.

How to calculate Surface area of Antiprism using this online calculator? To use this online calculator for Surface area of Antiprism, enter Number Of Vertices (n) and Side (s) and hit the calculate button. Here is how the Surface area of Antiprism calculation can be explained with given input values -> NaN = (1/2)*(cot(pi/1)+sqrt(3))*(9^2).

### FAQ

What is Surface area of Antiprism?
The Surface area of Antiprism formula is defined as measure of the total area that the surface of the object occupies of a Antiprism, where a =Antiprism edge. and is represented as SA = (n/2)*(cot(pi/n)+sqrt(3))*(s^2) or surface_area = (Number Of Vertices/2)*(cot(pi/Number Of Vertices)+sqrt(3))*(Side^2). Number Of Vertices is the number of vertices in the given two dimensional figure and The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Surface area of Antiprism?
The Surface area of Antiprism formula is defined as measure of the total area that the surface of the object occupies of a Antiprism, where a =Antiprism edge. is calculated using surface_area = (Number Of Vertices/2)*(cot(pi/Number Of Vertices)+sqrt(3))*(Side^2). To calculate Surface area of Antiprism, you need Number Of Vertices (n) and Side (s). With our tool, you need to enter the respective value for Number Of Vertices and Side and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Surface Area?
In this formula, Surface Area uses Number Of Vertices and Side. We can use 11 other way(s) to calculate the same, which is/are as follows -
• surface_area = 6*Side^2
• surface_area = 2*(Length*Width+Length*Height+Width*Height)