Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius Calculator

✖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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✖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 given Midsphere Radius [R_A/V]

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Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Rhombic Dodecahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = 6/(sqrt(3)*r_m) --> 6/(sqrt(3)*9)

Evaluating ... ...

R_A/V = 0.384900179459751

STEP 3: Convert Result to Output's Unit

0.384900179459751 1 per Meter --> No Conversion Required

FINAL ANSWER

0.384900179459751 ≈ 0.3849 1 per Meter <-- Surface to Volume Ratio of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Rhombic Dodecahedron Calculators

Surface to Volume Ratio of Rhombic Dodecahedron given Volume

LaTeX Go Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*((16*sqrt(3))/(9*Volume of Rhombic Dodecahedron))^(1/3)

Surface to Volume Ratio of Rhombic Dodecahedron

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

Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius

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

Surface to Volume Ratio of Rhombic Dodecahedron given Insphere Radius

LaTeX Go Surface to Volume Ratio of Rhombic Dodecahedron = 3/Insphere Radius of Rhombic Dodecahedron

Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius Formula

LaTeX Go

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

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 Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius?

Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius calculator uses Surface to Volume Ratio of Rhombic Dodecahedron = 6/(sqrt(3)*Midsphere Radius of Rhombic Dodecahedron) to calculate the Surface to Volume Ratio of Rhombic Dodecahedron, Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron. Surface to Volume Ratio of Rhombic Dodecahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius, enter Midsphere Radius of Rhombic Dodecahedron (r_m) and hit the calculate button. Here is how the Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius calculation can be explained with given input values -> 0.3849 = 6/(sqrt(3)*9).

FAQ

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

Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron and is represented as R_A/V = 6/(sqrt(3)*r_m) or Surface to Volume Ratio of Rhombic Dodecahedron = 6/(sqrt(3)*Midsphere Radius of Rhombic Dodecahedron). 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.

How to calculate Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius?

Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron is calculated using Surface to Volume Ratio of Rhombic Dodecahedron = 6/(sqrt(3)*Midsphere Radius of Rhombic Dodecahedron). To calculate Surface to Volume Ratio of Rhombic Dodecahedron given Midsphere Radius, you need Midsphere Radius of Rhombic Dodecahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Surface to Volume Ratio of Rhombic Dodecahedron?

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

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

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