Edge Length of Elongated Dodecahedron given Total Surface Area Calculator

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

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

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Edge Length of Elongated Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Elongated Dodecahedron = sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))
l_e = sqrt(TSA/(2*sqrt(3)*(3+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 Elongated Dodecahedron - (Measured in Meter) - Edge Length of Elongated Dodecahedron is the distance between any pair of adjacent peak vertices of the Elongated Dodecahedron.
Total Surface Area of Elongated Dodecahedron - (Measured in Square Meter) - Total Surface Area of Elongated Dodecahedron is the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Elongated Dodecahedron: 1800 Square Meter --> 1800 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(TSA/(2*sqrt(3)*(3+sqrt(5)))) --> sqrt(1800/(2*sqrt(3)*(3+sqrt(5))))

Evaluating ... ...

l_e = 9.96181111733409

STEP 3: Convert Result to Output's Unit

9.96181111733409 Meter --> No Conversion Required

FINAL ANSWER

9.96181111733409 ≈ 9.961811 Meter <-- Edge Length of Elongated Dodecahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Edge Length of Elongated Dodecahedron Calculators

Edge Length of Elongated Dodecahedron given Total Surface Area

LaTeX Go Edge Length of Elongated Dodecahedron = sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))

Edge Length of Elongated Dodecahedron given Height

LaTeX Go Edge Length of Elongated Dodecahedron = Height of Elongated Dodecahedron/sqrt(3)

Edge Length of Elongated Dodecahedron given Volume

LaTeX Go Edge Length of Elongated Dodecahedron = (Volume of Elongated Dodecahedron/6)^(1/3)

Edge Length of Elongated Dodecahedron given Width

LaTeX Go Edge Length of Elongated Dodecahedron = Width of Elongated Dodecahedron/3

Edge Length of Elongated Dodecahedron given Total Surface Area Formula

LaTeX Go

Edge Length of Elongated Dodecahedron = sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))
l_e = sqrt(TSA/(2*sqrt(3)*(3+sqrt(5))))

What is Elongated Dodecahedron?

The Elongated Dodecahedron, extended rhombic dodecahedron, rhombo-hexagonal dodecahedron or hexarhombic dodecahedron is a convex dodecahedron with 8 rhombic and 4 hexagonal faces. The hexagons can be made equilateral, or regular depending on the shape of the rhombi.

How to Calculate Edge Length of Elongated Dodecahedron given Total Surface Area?

Edge Length of Elongated Dodecahedron given Total Surface Area calculator uses Edge Length of Elongated Dodecahedron = sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))) to calculate the Edge Length of Elongated Dodecahedron, Edge Length of Elongated Dodecahedron given Total Surface Area formula is defined as the distance between any pair of adjacent peak vertices of the Elongated Dodecahedron, calculated using total surface area. Edge Length of Elongated Dodecahedron is denoted by l_e symbol.

How to calculate Edge Length of Elongated Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Elongated Dodecahedron given Total Surface Area, enter Total Surface Area of Elongated Dodecahedron (TSA) and hit the calculate button. Here is how the Edge Length of Elongated Dodecahedron given Total Surface Area calculation can be explained with given input values -> 9.961811 = sqrt(1800/(2*sqrt(3)*(3+sqrt(5)))).

FAQ

What is Edge Length of Elongated Dodecahedron given Total Surface Area?

Edge Length of Elongated Dodecahedron given Total Surface Area formula is defined as the distance between any pair of adjacent peak vertices of the Elongated Dodecahedron, calculated using total surface area and is represented as l_e = sqrt(TSA/(2*sqrt(3)*(3+sqrt(5)))) or Edge Length of Elongated Dodecahedron = sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))). Total Surface Area of Elongated Dodecahedron is the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron.

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

Edge Length of Elongated Dodecahedron given Total Surface Area formula is defined as the distance between any pair of adjacent peak vertices of the Elongated Dodecahedron, calculated using total surface area is calculated using Edge Length of Elongated Dodecahedron = sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))). To calculate Edge Length of Elongated Dodecahedron given Total Surface Area, you need Total Surface Area of Elongated Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Elongated 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 Elongated Dodecahedron?

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

Edge Length of Elongated Dodecahedron = Width of Elongated Dodecahedron/3
Edge Length of Elongated Dodecahedron = Height of Elongated Dodecahedron/sqrt(3)
Edge Length of Elongated Dodecahedron = (Volume of Elongated Dodecahedron/6)^(1/3)

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