Width of Elongated Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Surface to Volume Ratio of Elongated Dodecahedron
w = (sqrt(3)*(3+sqrt(5)))/RA/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
Width of Elongated Dodecahedron - (Measured in Meter) - Width of Elongated Dodecahedron is the horizontal distance from the left most edge to the right most edge of the regular 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
w = (sqrt(3)*(3+sqrt(5)))/RA/V --> (sqrt(3)*(3+sqrt(5)))/0.3
Evaluating ... ...
w = 30.2304525630468
STEP 3: Convert Result to Output's Unit
30.2304525630468 Meter --> No Conversion Required
FINAL ANSWER
30.2304525630468 30.23045 Meter <-- Width 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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Width of Elongated Dodecahedron Calculators

Width of Elongated Dodecahedron given Total Surface Area
​ LaTeX ​ Go Width of Elongated Dodecahedron = 3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))
Width of Elongated Dodecahedron given Height
​ LaTeX ​ Go Width of Elongated Dodecahedron = sqrt(3)*Height of Elongated Dodecahedron
Width of Elongated Dodecahedron given Volume
​ LaTeX ​ Go Width of Elongated Dodecahedron = 3*(Volume of Elongated Dodecahedron/6)^(1/3)
Width of Elongated Dodecahedron
​ LaTeX ​ Go Width of Elongated Dodecahedron = 3*Edge Length of Elongated Dodecahedron

Width of Elongated Dodecahedron given Surface to Volume Ratio Formula

​LaTeX ​Go
Width of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Surface to Volume Ratio of Elongated Dodecahedron
w = (sqrt(3)*(3+sqrt(5)))/RA/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 Width of Elongated Dodecahedron given Surface to Volume Ratio?

Width of Elongated Dodecahedron given Surface to Volume Ratio calculator uses Width of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Surface to Volume Ratio of Elongated Dodecahedron to calculate the Width of Elongated Dodecahedron, Width of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Elongated Dodecahedron, calculated using surface to volume ratio. Width of Elongated Dodecahedron is denoted by w symbol.

How to calculate Width of Elongated Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Width of Elongated Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Elongated Dodecahedron (RA/V) and hit the calculate button. Here is how the Width of Elongated Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 30.23045 = (sqrt(3)*(3+sqrt(5)))/0.3.

FAQ

What is Width of Elongated Dodecahedron given Surface to Volume Ratio?
Width of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Elongated Dodecahedron, calculated using surface to volume ratio and is represented as w = (sqrt(3)*(3+sqrt(5)))/RA/V or Width of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/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 Width of Elongated Dodecahedron given Surface to Volume Ratio?
Width of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Elongated Dodecahedron, calculated using surface to volume ratio is calculated using Width of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Surface to Volume Ratio of Elongated Dodecahedron. To calculate Width of Elongated Dodecahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Elongated Dodecahedron (RA/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 Width of Elongated Dodecahedron?
In this formula, Width 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 -
  • Width of Elongated Dodecahedron = 3*Edge Length of Elongated Dodecahedron
  • Width of Elongated Dodecahedron = sqrt(3)*Height of Elongated Dodecahedron
  • Width of Elongated Dodecahedron = 3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))
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