Surface to Volume Ratio of Elongated Dodecahedron given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Elongated Dodecahedron = (3+sqrt(5))/Height of Elongated Dodecahedron
RA/V = (3+sqrt(5))/h
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.
Height of Elongated Dodecahedron - (Measured in Meter) - Height of Elongated Dodecahedron is the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Height of Elongated Dodecahedron: 17 Meter --> 17 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (3+sqrt(5))/h --> (3+sqrt(5))/17
Evaluating ... ...
RA/V = 0.308003998676458
STEP 3: Convert Result to Output's Unit
0.308003998676458 1 per Meter --> No Conversion Required
FINAL ANSWER
0.308003998676458 0.308004 1 per Meter <-- Surface to Volume Ratio of Elongated Dodecahedron
(Calculation completed in 00.020 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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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 given Height Formula

Surface to Volume Ratio of Elongated Dodecahedron = (3+sqrt(5))/Height of Elongated Dodecahedron
RA/V = (3+sqrt(5))/h

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 given Height?

Surface to Volume Ratio of Elongated Dodecahedron given Height calculator uses Surface to Volume Ratio of Elongated Dodecahedron = (3+sqrt(5))/Height of Elongated Dodecahedron to calculate the Surface to Volume Ratio of Elongated Dodecahedron, Surface to Volume Ratio of Elongated Dodecahedron given Height formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron, calculated using height. Surface to Volume Ratio of Elongated Dodecahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Elongated Dodecahedron given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Dodecahedron given Height, enter Height of Elongated Dodecahedron (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Dodecahedron given Height calculation can be explained with given input values -> 0.308004 = (3+sqrt(5))/17.

FAQ

What is Surface to Volume Ratio of Elongated Dodecahedron given Height?
Surface to Volume Ratio of Elongated Dodecahedron given Height formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron, calculated using height and is represented as RA/V = (3+sqrt(5))/h or Surface to Volume Ratio of Elongated Dodecahedron = (3+sqrt(5))/Height of Elongated Dodecahedron. Height of Elongated Dodecahedron is the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron.
How to calculate Surface to Volume Ratio of Elongated Dodecahedron given Height?
Surface to Volume Ratio of Elongated Dodecahedron given Height formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron, calculated using height is calculated using Surface to Volume Ratio of Elongated Dodecahedron = (3+sqrt(5))/Height of Elongated Dodecahedron. To calculate Surface to Volume Ratio of Elongated Dodecahedron given Height, you need Height of Elongated Dodecahedron (h). With our tool, you need to enter the respective value for Height 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 Height 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)))/(3*Edge Length of Elongated Dodecahedron)
  • Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Width 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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