Ridge Length of Great Dodecahedron given Total Surface Area Calculator

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

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✖Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron.ⓘ Ridge Length of Great Dodecahedron given Total Surface Area [l_Ridge]

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Ridge Length of Great Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))
l_Ridge = (sqrt(5)-1)/2*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

Ridge Length of Great Dodecahedron - (Measured in Meter) - Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron.
Total Surface Area of Great Dodecahedron - (Measured in Square Meter) - Total Surface Area of Great Dodecahedron is the total quantity of plane enclosed on the entire surface of the Great Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Great Dodecahedron: 1100 Square Meter --> 1100 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Ridge = (sqrt(5)-1)/2*sqrt(TSA/(15*sqrt(5-(2*sqrt(5))))) --> (sqrt(5)-1)/2*sqrt(1100/(15*sqrt(5-(2*sqrt(5)))))

Evaluating ... ...

l_Ridge = 6.20915573075249

STEP 3: Convert Result to Output's Unit

6.20915573075249 Meter --> No Conversion Required

FINAL ANSWER

6.20915573075249 ≈ 6.209156 Meter <-- Ridge Length of Great Dodecahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Ridge Length of Great Dodecahedron Calculators

Ridge Length of Great Dodecahedron given Total Surface Area

LaTeX Go Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))

Ridge Length of Great Dodecahedron given Circumsphere Radius

LaTeX Go Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(4*Circumsphere Radius of Great Dodecahedron)/(sqrt(10+(2*sqrt(5))))

Ridge Length of Great Dodecahedron given Pyramidal Height

LaTeX Go Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))

Ridge Length of Great Dodecahedron

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

Ridge Length of Great Dodecahedron given Total Surface Area Formula

LaTeX Go

Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))
l_Ridge = (sqrt(5)-1)/2*sqrt(TSA/(15*sqrt(5-(2*sqrt(5)))))

What is Great Dodecahedron?

The Great Dodecahedron is one of four nonconvex regular polyhedra. It is composed of 12 pentagonal faces, with five pentagons meeting at each vertex, intersecting each other making a pentagrammic path.

How to Calculate Ridge Length of Great Dodecahedron given Total Surface Area?

Ridge Length of Great Dodecahedron given Total Surface Area calculator uses Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5))))) to calculate the Ridge Length of Great Dodecahedron, Ridge Length of Great Dodecahedron given Total Surface Area formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron, calculated using its total surface area. Ridge Length of Great Dodecahedron is denoted by l_Ridge symbol.

How to calculate Ridge Length of Great Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Ridge Length of Great Dodecahedron given Total Surface Area, enter Total Surface Area of Great Dodecahedron (TSA) and hit the calculate button. Here is how the Ridge Length of Great Dodecahedron given Total Surface Area calculation can be explained with given input values -> 6.209156 = (sqrt(5)-1)/2*sqrt(1100/(15*sqrt(5-(2*sqrt(5))))).

FAQ

What is Ridge Length of Great Dodecahedron given Total Surface Area?

Ridge Length of Great Dodecahedron given Total Surface Area formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron, calculated using its total surface area and is represented as l_Ridge = (sqrt(5)-1)/2*sqrt(TSA/(15*sqrt(5-(2*sqrt(5))))) or Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5))))). Total Surface Area of Great Dodecahedron is the total quantity of plane enclosed on the entire surface of the Great Dodecahedron.

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

Ridge Length of Great Dodecahedron given Total Surface Area formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron, calculated using its total surface area is calculated using Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5))))). To calculate Ridge Length of Great Dodecahedron given Total Surface Area, you need Total Surface Area of Great Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Great 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 Ridge Length of Great Dodecahedron?

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

Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*Edge Length of Great Dodecahedron
Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(4*Circumsphere Radius of Great Dodecahedron)/(sqrt(10+(2*sqrt(5))))
Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))

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