Edge Length of Great Stellated Dodecahedron given Total Surface Area Calculator

✖Total Surface Area of Great Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Great Stellated Dodecahedron.ⓘ Total Surface Area of Great Stellated Dodecahedron [TSA]

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✖Edge Length of Great Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron.ⓘ Edge Length of Great Stellated Dodecahedron given Total Surface Area [l_e]

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Edge Length of Great Stellated Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Great Stellated Dodecahedron = sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))
l_e = sqrt(TSA/(15*sqrt(5+(2*sqrt(5)))))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Edge Length of Great Stellated Dodecahedron - (Measured in Meter) - Edge Length of Great Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron.
Total Surface Area of Great Stellated Dodecahedron - (Measured in Square Meter) - Total Surface Area of Great Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Great Stellated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Great Stellated Dodecahedron: 4600 Square Meter --> 4600 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(TSA/(15*sqrt(5+(2*sqrt(5))))) --> sqrt(4600/(15*sqrt(5+(2*sqrt(5)))))

Evaluating ... ...

l_e = 9.98208596326896

STEP 3: Convert Result to Output's Unit

9.98208596326896 Meter --> No Conversion Required

FINAL ANSWER

9.98208596326896 ≈ 9.982086 Meter <-- Edge Length of Great Stellated Dodecahedron

(Calculation completed in 00.007 seconds)

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< Edge Length of Great Stellated Dodecahedron Calculators

Edge Length of Great Stellated Dodecahedron given Pyramidal Height

LaTeX Go Edge Length of Great Stellated Dodecahedron = (6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Edge Length of Great Stellated Dodecahedron given Circumradius

LaTeX Go Edge Length of Great Stellated Dodecahedron = (4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Edge Length of Great Stellated Dodecahedron given Ridge Length

LaTeX Go Edge Length of Great Stellated Dodecahedron = (2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))

Edge Length of Great Stellated Dodecahedron given Pentagram Chord

LaTeX Go Edge Length of Great Stellated Dodecahedron = Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

Edge Length of Great Stellated Dodecahedron given Total Surface Area Formula

LaTeX Go

Edge Length of Great Stellated Dodecahedron = sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))
l_e = sqrt(TSA/(15*sqrt(5+(2*sqrt(5)))))

What is Great Stellated Dodecahedron?

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 Total Surface Area?

Edge Length of Great Stellated Dodecahedron given Total Surface Area calculator uses Edge Length of Great Stellated Dodecahedron = sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))) to calculate the Edge Length of Great Stellated Dodecahedron, Edge Length of Great Stellated Dodecahedron given Total Surface Area formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its total surface area. Edge Length of Great Stellated Dodecahedron is denoted by l_e symbol.

How to calculate Edge Length of Great Stellated Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Great Stellated Dodecahedron given Total Surface Area, enter Total Surface Area of Great Stellated Dodecahedron (TSA) and hit the calculate button. Here is how the Edge Length of Great Stellated Dodecahedron given Total Surface Area calculation can be explained with given input values -> 9.982086 = sqrt(4600/(15*sqrt(5+(2*sqrt(5))))).

FAQ

What is Edge Length of Great Stellated Dodecahedron given Total Surface Area?

Edge Length of Great Stellated Dodecahedron given Total Surface Area formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its total surface area and is represented as l_e = sqrt(TSA/(15*sqrt(5+(2*sqrt(5))))) or Edge Length of Great Stellated Dodecahedron = sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))). Total Surface Area of Great Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Great Stellated Dodecahedron.

How to calculate Edge Length of Great Stellated Dodecahedron given Total Surface Area?

Edge Length of Great Stellated Dodecahedron given Total Surface Area formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its total surface area is calculated using Edge Length of Great Stellated Dodecahedron = sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5))))). To calculate Edge Length of Great Stellated Dodecahedron given Total Surface Area, you need Total Surface Area of Great Stellated Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Great Stellated Dodecahedron 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 Edge Length of Great Stellated Dodecahedron?

In this formula, Edge Length of Great Stellated Dodecahedron uses Total Surface Area of Great Stellated Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Great Stellated Dodecahedron = (2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Edge Length of Great Stellated Dodecahedron = Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
Edge Length of Great Stellated Dodecahedron = (4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

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