Edge Length of Rhombic Dodecahedron given Insphere Radius Calculator

✖Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.ⓘ Insphere Radius of Rhombic Dodecahedron [r_i]

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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 Insphere Radius [l_e]

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Formula

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Edge Length of Rhombic Dodecahedron given Insphere Radius

Formula

`"l"_{"e"} = (3*"r"_{"i"})/(sqrt(6))`

Example

`"9.797959m"=(3*"8m")/(sqrt(6))`

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Edge Length of Rhombic Dodecahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Rhombic Dodecahedron = (3*Insphere Radius of Rhombic Dodecahedron)/(sqrt(6))
l_e = (3*r_i)/(sqrt(6))
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.
Insphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Rhombic Dodecahedron: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (3*r_i)/(sqrt(6)) --> (3*8)/(sqrt(6))

Evaluating ... ...

l_e = 9.79795897113271

STEP 3: Convert Result to Output's Unit

9.79795897113271 Meter --> No Conversion Required

FINAL ANSWER

9.79795897113271 ≈ 9.797959 Meter <-- Edge Length of Rhombic Dodecahedron

(Calculation completed in 00.004 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 Insphere Radius Formula

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

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 Insphere Radius?

Edge Length of Rhombic Dodecahedron given Insphere Radius calculator uses Edge Length of Rhombic Dodecahedron = (3*Insphere Radius of Rhombic Dodecahedron)/(sqrt(6)) to calculate the Edge Length of Rhombic Dodecahedron, Edge Length of Rhombic Dodecahedron given Insphere Radius 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 insphere radius of Rhombic Dodecahedron. Edge Length of Rhombic Dodecahedron is denoted by l_e symbol.

How to calculate Edge Length of Rhombic Dodecahedron given Insphere Radius using this online calculator? To use this online calculator for Edge Length of Rhombic Dodecahedron given Insphere Radius, enter Insphere Radius of Rhombic Dodecahedron (r_i) and hit the calculate button. Here is how the Edge Length of Rhombic Dodecahedron given Insphere Radius calculation can be explained with given input values -> 9.797959 = (3*8)/(sqrt(6)).

FAQ

What is Edge Length of Rhombic Dodecahedron given Insphere Radius?

Edge Length of Rhombic Dodecahedron given Insphere Radius 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 insphere radius of Rhombic Dodecahedron and is represented as l_e = (3*r_i)/(sqrt(6)) or Edge Length of Rhombic Dodecahedron = (3*Insphere Radius of Rhombic Dodecahedron)/(sqrt(6)). Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.

How to calculate Edge Length of Rhombic Dodecahedron given Insphere Radius?

Edge Length of Rhombic Dodecahedron given Insphere Radius 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 insphere radius of Rhombic Dodecahedron is calculated using Edge Length of Rhombic Dodecahedron = (3*Insphere Radius of Rhombic Dodecahedron)/(sqrt(6)). To calculate Edge Length of Rhombic Dodecahedron given Insphere Radius, you need Insphere Radius of Rhombic Dodecahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius 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 Insphere Radius 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 = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron)

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