Midsphere Radius 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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✖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 Surface to Volume Ratio [r_m]

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Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

r_m = 6/sqrt(3)*1/R_A/V --> 6/sqrt(3)*1/0.4

Evaluating ... ...

r_m = 8.66025403784439

STEP 3: Convert Result to Output's Unit

8.66025403784439 Meter --> No Conversion Required

FINAL ANSWER

8.66025403784439 ≈ 8.660254 Meter <-- Midsphere Radius of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

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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 given Surface to Volume Ratio Formula

LaTeX Go

Midsphere Radius of Rhombic Dodecahedron = 6/sqrt(3)*1/Surface to Volume Ratio of Rhombic Dodecahedron
r_m = 6/sqrt(3)*1/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 Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio?

Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio calculator uses Midsphere Radius of Rhombic Dodecahedron = 6/sqrt(3)*1/Surface to Volume Ratio of Rhombic Dodecahedron to calculate the Midsphere Radius of Rhombic Dodecahedron, Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio 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 surface to volume ratio of Rhombic Dodecahedron. Midsphere Radius of Rhombic Dodecahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Midsphere Radius 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 Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 8.660254 = 6/sqrt(3)*1/0.4.

FAQ

What is Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio?

Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio 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 surface to volume ratio of Rhombic Dodecahedron and is represented as r_m = 6/sqrt(3)*1/R_A/V or Midsphere Radius of Rhombic Dodecahedron = 6/sqrt(3)*1/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 Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio?

Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio 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 surface to volume ratio of Rhombic Dodecahedron is calculated using Midsphere Radius of Rhombic Dodecahedron = 6/sqrt(3)*1/Surface to Volume Ratio of Rhombic Dodecahedron. To calculate Midsphere Radius 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 Midsphere Radius of Rhombic Dodecahedron?

In this formula, Midsphere Radius of Rhombic Dodecahedron uses Surface to Volume Ratio of Rhombic Dodecahedron. We can use 3 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 = 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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