Surface to Volume Ratio 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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✖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 Insphere Radius [R_A/V]

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Formula

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Surface to Volume Ratio of Rhombic Dodecahedron given Insphere Radius

Formula

`"R"_{"A/V"} = 3/"r"_{"i"}`

Example

`"0.375m⁻¹"=3/"8m"`

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Surface to Volume Ratio of Rhombic Dodecahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Rhombic Dodecahedron = 3/Insphere Radius of Rhombic Dodecahedron
R_A/V = 3/r_i
This formula uses 2 Variables

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.
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

R_A/V = 3/r_i --> 3/8

Evaluating ... ...

R_A/V = 0.375

STEP 3: Convert Result to Output's Unit

0.375 1 per Meter --> No Conversion Required

FINAL ANSWER

0.375 1 per Meter <-- Surface to Volume Ratio of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

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< 5 Surface to Volume Ratio of Rhombic Dodecahedron Calculators

Surface to Volume Ratio of Rhombic Dodecahedron given Total Surface Area

Go Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*sqrt((8*sqrt(2))/(Total Surface Area of Rhombic Dodecahedron))

Surface to Volume Ratio of Rhombic Dodecahedron given Volume

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

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

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

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

Surface to Volume Ratio of Rhombic Dodecahedron given Insphere Radius Formula

Surface to Volume Ratio of Rhombic Dodecahedron = 3/Insphere Radius of Rhombic Dodecahedron
R_A/V = 3/r_i

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 Insphere Radius?

Surface to Volume Ratio of Rhombic Dodecahedron given Insphere Radius calculator uses Surface to Volume Ratio of Rhombic Dodecahedron = 3/Insphere Radius of Rhombic Dodecahedron to calculate the Surface to Volume Ratio of Rhombic Dodecahedron, Surface to Volume Ratio of Rhombic Dodecahedron given Insphere 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 insphere 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 Insphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Rhombic Dodecahedron given Insphere Radius, enter Insphere Radius of Rhombic Dodecahedron (r_i) and hit the calculate button. Here is how the Surface to Volume Ratio of Rhombic Dodecahedron given Insphere Radius calculation can be explained with given input values -> 0.375 = 3/8.

FAQ

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

Surface to Volume Ratio of Rhombic Dodecahedron given Insphere 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 insphere radius of Rhombic Dodecahedron and is represented as R_A/V = 3/r_i or Surface to Volume Ratio of Rhombic Dodecahedron = 3/Insphere Radius of Rhombic Dodecahedron. 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 Surface to Volume Ratio of Rhombic Dodecahedron given Insphere Radius?

Surface to Volume Ratio of Rhombic Dodecahedron given Insphere 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 insphere radius of Rhombic Dodecahedron is calculated using Surface to Volume Ratio of Rhombic Dodecahedron = 3/Insphere Radius of Rhombic Dodecahedron. To calculate Surface to Volume Ratio 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 Surface to Volume Ratio of Rhombic Dodecahedron?

In this formula, Surface to Volume Ratio 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 -

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 = 6/(sqrt(3)*Midsphere 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)
Surface to Volume Ratio of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3))*sqrt((8*sqrt(2))/(Total Surface Area of Rhombic Dodecahedron))

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