Surface to Volume Ratio of Elongated Dodecahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*Edge Length of Elongated Dodecahedron)
RA/V = (sqrt(3)*(3+sqrt(5)))/(3*le)
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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Elongated Dodecahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (sqrt(3)*(3+sqrt(5)))/(3*le) --> (sqrt(3)*(3+sqrt(5)))/(3*10)
Evaluating ... ...
RA/V = 0.302304525630468
STEP 3: Convert Result to Output's Unit
0.302304525630468 1 per Meter --> No Conversion Required
FINAL ANSWER
0.302304525630468 0.302305 1 per Meter <-- Surface to Volume Ratio of Elongated Dodecahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
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St Joseph's College (SJC), Bengaluru
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5 Surface to Volume Ratio of Elongated Dodecahedron Calculators

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

Surface to Volume Ratio of Elongated Dodecahedron Formula

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

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 Surface to Volume Ratio of Elongated Dodecahedron?

Surface to Volume Ratio of Elongated Dodecahedron calculator uses Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*Edge Length of Elongated Dodecahedron) to calculate the Surface to Volume Ratio of Elongated Dodecahedron, Surface to Volume Ratio of Elongated Dodecahedron formula is defined as 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 is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Elongated Dodecahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Dodecahedron, enter Edge Length of Elongated Dodecahedron (le) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Dodecahedron calculation can be explained with given input values -> 0.302305 = (sqrt(3)*(3+sqrt(5)))/(3*10).

FAQ

What is Surface to Volume Ratio of Elongated Dodecahedron?
Surface to Volume Ratio of Elongated Dodecahedron formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron and is represented as RA/V = (sqrt(3)*(3+sqrt(5)))/(3*le) or Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*Edge Length of Elongated Dodecahedron). Edge Length of Elongated Dodecahedron is the distance between any pair of adjacent peak vertices of the Elongated Dodecahedron.
How to calculate Surface to Volume Ratio of Elongated Dodecahedron?
Surface to Volume Ratio of Elongated Dodecahedron formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron is calculated using Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*Edge Length of Elongated Dodecahedron). To calculate Surface to Volume Ratio of Elongated Dodecahedron, you need Edge Length of Elongated Dodecahedron (le). With our tool, you need to enter the respective value for Edge Length 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 Surface to Volume Ratio of Elongated Dodecahedron?
In this formula, Surface to Volume Ratio of Elongated Dodecahedron uses Edge Length of Elongated Dodecahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*(Volume of Elongated Dodecahedron/6)^(1/3))
  • Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Width of Elongated Dodecahedron
  • Surface to Volume Ratio of Elongated Dodecahedron = (3+sqrt(5))/Height of Elongated Dodecahedron
  • Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))))
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