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## Edge length of Great Stellated Dodecahedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5)))))
Sa = sqrt(SA/(15*(sqrt(5+2*sqrt(5)))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = sqrt(SA/(15*(sqrt(5+2*sqrt(5))))) --> sqrt(50/(15*(sqrt(5+2*sqrt(5)))))
Evaluating ... ...
Sa = 1.04070440284919
STEP 3: Convert Result to Output's Unit
1.04070440284919 Meter --> No Conversion Required
1.04070440284919 Meter <-- Side A
(Calculation completed in 00.000 seconds)

## < 7 Edge length of Great Stellated Dodecahedron Calculators

Edge length of Great Stellated Dodecahedron given surface to volume ratio
side_a = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio) Go
Edge length of Great Stellated Dodecahedron given surface area
side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5))))) Go
Edge length of Great Stellated Dodecahedron given circumradius
Edge length of Great Stellated Dodecahedron given pyramid height
side_a = (6*Height)/(sqrt(3)*(3+sqrt(5))) Go
Edge length of Great Stellated Dodecahedron given volume
side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3) Go
Edge length of Great Stellated Dodecahedron given ridge length
side_a = (2*Ridge Length 1)/(1+sqrt(5)) Go
Edge length of Great Stellated Dodecahedron given pentagram chord
side_a = Chord Length/(2+sqrt(5)) Go

### Edge length of Great Stellated Dodecahedron given surface area Formula

side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5)))))
Sa = sqrt(SA/(15*(sqrt(5+2*sqrt(5)))))

## What is Great Stellated Dodecahedron?

In geometry, the great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {​⁵⁄₂,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex

## How to Calculate Edge length of Great Stellated Dodecahedron given surface area?

Edge length of Great Stellated Dodecahedron given surface area calculator uses side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5))))) to calculate the Side A, Edge length of Great Stellated Dodecahedron given surface area formula is defined as a straight line connecting two vertices of Great Stellated Dodecahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of Great Stellated Dodecahedron given surface area using this online calculator? To use this online calculator for Edge length of Great Stellated Dodecahedron given surface area, enter Surface Area (SA) and hit the calculate button. Here is how the Edge length of Great Stellated Dodecahedron given surface area calculation can be explained with given input values -> 1.040704 = sqrt(50/(15*(sqrt(5+2*sqrt(5))))).

### FAQ

What is Edge length of Great Stellated Dodecahedron given surface area?
Edge length of Great Stellated Dodecahedron given surface area formula is defined as a straight line connecting two vertices of Great Stellated Dodecahedron and is represented as Sa = sqrt(SA/(15*(sqrt(5+2*sqrt(5))))) or side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5))))). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
How to calculate Edge length of Great Stellated Dodecahedron given surface area?
Edge length of Great Stellated Dodecahedron given surface area formula is defined as a straight line connecting two vertices of Great Stellated Dodecahedron is calculated using side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5))))). To calculate Edge length of Great Stellated Dodecahedron given surface area, you need Surface Area (SA). With our tool, you need to enter the respective value for Surface Area 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 Side A?
In this formula, Side A uses Surface Area. We can use 7 other way(s) to calculate the same, which is/are as follows -
• side_a = (2*Ridge Length 1)/(1+sqrt(5))
• side_a = Chord Length/(2+sqrt(5))