Midsphere Radius of Rhombic Dodecahedron given Volume Calculator

✖Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.ⓘ Volume of Rhombic Dodecahedron [V]

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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 given Volume [r_m]

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Formula

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Midsphere Radius of Rhombic Dodecahedron given Volume

Formula

`"r"_{"m"} = (2*sqrt(2))/3*((9*"V")/(16*sqrt(3)))^(1/3)`

Example

`"9.44927m"= (2*sqrt(2))/3*((9*"3100m³")/(16*sqrt(3)))^(1/3)`

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Midsphere Radius of Rhombic Dodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

r_m = (2*sqrt(2))/3*((9*V)/(16*sqrt(3)))^(1/3) --> (2*sqrt(2))/3*((9*3100)/(16*sqrt(3)))^(1/3)

Evaluating ... ...

r_m = 9.44927024636558

STEP 3: Convert Result to Output's Unit

9.44927024636558 Meter --> No Conversion Required

FINAL ANSWER

9.44927024636558 ≈ 9.44927 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

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< 5 Midsphere Radius of Rhombic Dodecahedron Calculators

Midsphere Radius of Rhombic Dodecahedron given Total Surface Area

Go Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))

Midsphere Radius of Rhombic Dodecahedron given Volume

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

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

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

Midsphere Radius of Rhombic Dodecahedron

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

Midsphere Radius of Rhombic Dodecahedron given Volume Formula

Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)
r_m = (2*sqrt(2))/3*((9*V)/(16*sqrt(3)))^(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 Midsphere Radius of Rhombic Dodecahedron given Volume?

Midsphere Radius of Rhombic Dodecahedron given Volume calculator uses Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3) to calculate the Midsphere Radius of Rhombic Dodecahedron, Midsphere Radius of Rhombic Dodecahedron given Volume 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, calculated using volume of Rhombic Dodecahedron. Midsphere Radius of Rhombic Dodecahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombic Dodecahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Rhombic Dodecahedron given Volume, enter Volume of Rhombic Dodecahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Rhombic Dodecahedron given Volume calculation can be explained with given input values -> 9.44927 = (2*sqrt(2))/3*((9*3100)/(16*sqrt(3)))^(1/3).

FAQ

What is Midsphere Radius of Rhombic Dodecahedron given Volume?

Midsphere Radius of Rhombic Dodecahedron given Volume 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, calculated using volume of Rhombic Dodecahedron and is represented as r_m = (2*sqrt(2))/3*((9*V)/(16*sqrt(3)))^(1/3) or Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(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 Midsphere Radius of Rhombic Dodecahedron given Volume?

Midsphere Radius of Rhombic Dodecahedron given Volume 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, calculated using volume of Rhombic Dodecahedron is calculated using Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3). To calculate Midsphere Radius 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 Midsphere Radius of Rhombic Dodecahedron?

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

Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*Edge Length of Rhombic Dodecahedron
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*sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))

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