Midsphere Radius of Rhombic Dodecahedron Calculator

✖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 [l_e]

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✖Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Rhombic Dodecahedron [r_m]

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Midsphere Radius of Rhombic Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Midsphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.
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.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Rhombic Dodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = (2*sqrt(2))/3*l_e --> (2*sqrt(2))/3*10

Evaluating ... ...

r_m = 9.42809041582063

STEP 3: Convert Result to Output's Unit

9.42809041582063 Meter --> No Conversion Required

FINAL ANSWER

9.42809041582063 ≈ 9.42809 Meter <-- Midsphere Radius of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Midsphere Radius of Rhombic Dodecahedron Calculators

Midsphere Radius of Rhombic Dodecahedron given Volume

LaTeX Go Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)

Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio

LaTeX Go Midsphere Radius of Rhombic Dodecahedron = 6/sqrt(3)*1/Surface to Volume Ratio of Rhombic Dodecahedron

Midsphere Radius of Rhombic Dodecahedron given Insphere Radius

LaTeX Go Midsphere Radius of Rhombic Dodecahedron = 2/sqrt(3)*Insphere Radius of Rhombic Dodecahedron

Midsphere Radius of Rhombic Dodecahedron

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

Midsphere Radius of Rhombic Dodecahedron Formula

LaTeX Go

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

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 Midsphere Radius of Rhombic Dodecahedron?

Midsphere Radius of Rhombic Dodecahedron calculator uses Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*Edge Length of Rhombic Dodecahedron to calculate the Midsphere Radius of Rhombic Dodecahedron, Midsphere Radius of Rhombic Dodecahedron formula is defined as the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere. Midsphere Radius of Rhombic Dodecahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombic Dodecahedron using this online calculator? To use this online calculator for Midsphere Radius of Rhombic Dodecahedron, enter Edge Length of Rhombic Dodecahedron (l_e) and hit the calculate button. Here is how the Midsphere Radius of Rhombic Dodecahedron calculation can be explained with given input values -> 9.42809 = (2*sqrt(2))/3*10.

FAQ

What is Midsphere Radius of Rhombic Dodecahedron?

Midsphere Radius of Rhombic Dodecahedron formula is defined as the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere and is represented as r_m = (2*sqrt(2))/3*l_e or Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*Edge Length of Rhombic Dodecahedron. 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.

How to calculate Midsphere Radius of Rhombic Dodecahedron?

Midsphere Radius of Rhombic Dodecahedron formula is defined as the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere is calculated using Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*Edge Length of Rhombic Dodecahedron. To calculate Midsphere Radius of Rhombic Dodecahedron, you need Edge Length of Rhombic Dodecahedron (l_e). With our tool, you need to enter the respective value for Edge Length 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 Midsphere Radius of Rhombic Dodecahedron?

In this formula, Midsphere Radius of Rhombic Dodecahedron uses Edge Length of Rhombic Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Rhombic Dodecahedron = 6/sqrt(3)*1/Surface to Volume Ratio of Rhombic Dodecahedron
Midsphere Radius of Rhombic Dodecahedron = 2/sqrt(3)*Insphere Radius of Rhombic Dodecahedron
Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)

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