Surface to Volume Ratio of Rhombic Dodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*Volume of Rhombic Dodecahedron))^(1/3)
RA/V = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*V))^(1/3)
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 Rhombic Dodecahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Rhombic Dodecahedron is the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron.
Volume of Rhombic Dodecahedron - (Measured in Cubic Meter) - Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Rhombic Dodecahedron: 3100 Cubic Meter --> 3100 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*V))^(1/3) --> (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*3100))^(1/3)
Evaluating ... ...
RA/V = 0.366599909286131
STEP 3: Convert Result to Output's Unit
0.366599909286131 1 per Meter --> No Conversion Required
FINAL ANSWER
0.366599909286131 0.3666 1 per Meter <-- Surface to Volume Ratio of Rhombic Dodecahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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5 Surface to Volume Ratio of Rhombic Dodecahedron Calculators

Surface to Volume Ratio of Rhombic Dodecahedron given Total Surface Area
Go Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*sqrt((8*sqrt(2))/(Total Surface Area of Rhombic Dodecahedron))
Surface to Volume Ratio of Rhombic Dodecahedron given Volume
Go Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*Volume of Rhombic Dodecahedron))^(1/3)
Surface to Volume Ratio of Rhombic Dodecahedron
Go Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Edge Length of Rhombic Dodecahedron)
Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius
Go Surface to Volume Ratio of Rhombic Dodecahedron = 6/(sqrt(3)*Midsphere Radius of Rhombic Dodecahedron)
Surface to Volume Ratio of Rhombic Dodecahedron given Insphere Radius
Go Surface to Volume Ratio of Rhombic Dodecahedron = 3/Insphere Radius of Rhombic Dodecahedron

Surface to Volume Ratio of Rhombic Dodecahedron given Volume Formula

Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*Volume of Rhombic Dodecahedron))^(1/3)
RA/V = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*V))^(1/3)

What is Rhombic Dodecahedron?

In geometry, the Rhombic Dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of two types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

How to Calculate Surface to Volume Ratio of Rhombic Dodecahedron given Volume?

Surface to Volume Ratio of Rhombic Dodecahedron given Volume calculator uses Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*Volume of Rhombic Dodecahedron))^(1/3) to calculate the Surface to Volume Ratio of Rhombic Dodecahedron, Surface to Volume Ratio of Rhombic Dodecahedron given Volume formula is defined as the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron, calculated using volume of Rhombic Dodecahedron. Surface to Volume Ratio of Rhombic Dodecahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Rhombic Dodecahedron given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Rhombic Dodecahedron given Volume, enter Volume of Rhombic Dodecahedron (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Rhombic Dodecahedron given Volume calculation can be explained with given input values -> 0.3666 = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*3100))^(1/3).

FAQ

What is Surface to Volume Ratio of Rhombic Dodecahedron given Volume?
Surface to Volume Ratio of Rhombic Dodecahedron given Volume formula is defined as the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron, calculated using volume of Rhombic Dodecahedron and is represented as RA/V = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*V))^(1/3) or Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*Volume of Rhombic Dodecahedron))^(1/3). Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.
How to calculate Surface to Volume Ratio of Rhombic Dodecahedron given Volume?
Surface to Volume Ratio of Rhombic Dodecahedron given Volume formula is defined as the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron, calculated using volume of Rhombic Dodecahedron is calculated using Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*Volume of Rhombic Dodecahedron))^(1/3). To calculate Surface to Volume Ratio of Rhombic Dodecahedron given Volume, you need Volume of Rhombic Dodecahedron (V). With our tool, you need to enter the respective value for Volume of Rhombic 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 Rhombic Dodecahedron?
In this formula, Surface to Volume Ratio of Rhombic Dodecahedron uses Volume of Rhombic Dodecahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Edge Length of Rhombic Dodecahedron)
  • Surface to Volume Ratio of Rhombic Dodecahedron = 3/Insphere Radius of Rhombic Dodecahedron
  • Surface to Volume Ratio of Rhombic Dodecahedron = 6/(sqrt(3)*Midsphere Radius of Rhombic Dodecahedron)
  • Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*sqrt((8*sqrt(2))/(Total Surface Area of Rhombic Dodecahedron))
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