Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio Calculator

✖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.ⓘ Surface to Volume Ratio of Rhombic Dodecahedron [R_A/V]

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✖Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.ⓘ Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio [l_e]

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Formula

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Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio

Formula

`"l"_{"e"} = (9*sqrt(2))/(2*sqrt(3)*"R"_{"A/V"})`

Example

`"9.185587m"=(9*sqrt(2))/(2*sqrt(3)*"0.4m⁻¹")`

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Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron)
l_e = (9*sqrt(2))/(2*sqrt(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 Rhombic Dodecahedron - (Measured in Meter) - Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.
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.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Rhombic Dodecahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (9*sqrt(2))/(2*sqrt(3)*R_A/V) --> (9*sqrt(2))/(2*sqrt(3)*0.4)

Evaluating ... ...

l_e = 9.18558653543692

STEP 3: Convert Result to Output's Unit

9.18558653543692 Meter --> No Conversion Required

FINAL ANSWER

9.18558653543692 ≈ 9.185587 Meter <-- Edge Length of Rhombic Dodecahedron

(Calculation completed in 00.021 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 5 Edge Length of Rhombic Dodecahedron Calculators

Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio

Go Edge Length of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron)

Edge Length of Rhombic Dodecahedron given Total Surface Area

Go Edge Length of Rhombic Dodecahedron = sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))

Edge Length of Rhombic Dodecahedron given Midsphere Radius

Go Edge Length of Rhombic Dodecahedron = (3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2))

Edge Length of Rhombic Dodecahedron given Volume

Go Edge Length of Rhombic Dodecahedron = ((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)

Edge Length of Rhombic Dodecahedron given Insphere Radius

Go Edge Length of Rhombic Dodecahedron = (3*Insphere Radius of Rhombic Dodecahedron)/(sqrt(6))

Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio Formula

Edge Length of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron)
l_e = (9*sqrt(2))/(2*sqrt(3)*R_A/V)

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 Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio?

Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio calculator uses Edge Length of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron) to calculate the Edge Length of Rhombic Dodecahedron, Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron, calculated using surface to volume ratio of Rhombic Dodecahedron. Edge Length of Rhombic Dodecahedron is denoted by l_e symbol.

How to calculate Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Rhombic Dodecahedron (R_A/V) and hit the calculate button. Here is how the Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 9.185587 = (9*sqrt(2))/(2*sqrt(3)*0.4).

FAQ

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

Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron, calculated using surface to volume ratio of Rhombic Dodecahedron and is represented as l_e = (9*sqrt(2))/(2*sqrt(3)*R_A/V) or Edge Length of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron). 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.

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

Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron, calculated using surface to volume ratio of Rhombic Dodecahedron is calculated using Edge Length of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron). To calculate Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Rhombic Dodecahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Edge Length of Rhombic Dodecahedron?

In this formula, Edge Length of Rhombic Dodecahedron uses Surface to Volume Ratio of Rhombic Dodecahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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