Edge Length of Elongated Dodecahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Elongated Dodecahedron is the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron.ⓘ Surface to Volume Ratio of Elongated Dodecahedron [R_A/V]

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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 Surface to Volume Ratio [l_e]

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Edge Length of Elongated Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron)
l_e = (sqrt(3)*(3+sqrt(5)))/(3*R_A/V)
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.
Surface to Volume Ratio of Elongated Dodecahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Elongated Dodecahedron is the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Elongated Dodecahedron: 0.3 1 per Meter --> 0.3 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (sqrt(3)*(3+sqrt(5)))/(3*R_A/V) --> (sqrt(3)*(3+sqrt(5)))/(3*0.3)

Evaluating ... ...

l_e = 10.0768175210156

STEP 3: Convert Result to Output's Unit

10.0768175210156 Meter --> No Conversion Required

FINAL ANSWER

10.0768175210156 ≈ 10.07682 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 Surface to Volume Ratio Formula

LaTeX Go

Edge Length of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron)
l_e = (sqrt(3)*(3+sqrt(5)))/(3*R_A/V)

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 Surface to Volume Ratio?

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

How to calculate Edge Length of Elongated Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Elongated Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Elongated Dodecahedron (R_A/V) and hit the calculate button. Here is how the Edge Length of Elongated Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 10.07682 = (sqrt(3)*(3+sqrt(5)))/(3*0.3).

FAQ

What is Edge Length of Elongated Dodecahedron given Surface to Volume Ratio?

Edge Length of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the distance between any pair of adjacent peak vertices of the Elongated Dodecahedron, calculated using surface to volume ratio and is represented as l_e = (sqrt(3)*(3+sqrt(5)))/(3*R_A/V) or Edge Length of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron). Surface to Volume Ratio of Elongated Dodecahedron is the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron.

How to calculate Edge Length of Elongated Dodecahedron given Surface to Volume Ratio?

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

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