Volume 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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✖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 given Surface to Volume Ratio [V]

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Formula

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Volume of Rhombic Dodecahedron given Surface to Volume Ratio

Formula

`"V" = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*"R"_{"A/V"}))^3`

Example

`"2386.485m³"=(16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*"0.4m⁻¹"))^3`

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Volume of Rhombic Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3
V = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*R_A/V))^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

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.
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

V = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*R_A/V))^3 --> (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*0.4))^3

Evaluating ... ...

V = 2386.4853865046

STEP 3: Convert Result to Output's Unit

2386.4853865046 Cubic Meter --> No Conversion Required

FINAL ANSWER

2386.4853865046 ≈ 2386.485 Cubic Meter <-- Volume of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

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< 5 Volume of Rhombic Dodecahedron Calculators

Volume of Rhombic Dodecahedron given Surface to Volume Ratio

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

Volume of Rhombic Dodecahedron given Total Surface Area

Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2)

Volume of Rhombic Dodecahedron given Midsphere Radius

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

Volume of Rhombic Dodecahedron

Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*Edge Length of Rhombic Dodecahedron^3

Volume of Rhombic Dodecahedron given Insphere Radius

Go Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3

Volume of Rhombic Dodecahedron given Surface to Volume Ratio Formula

Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3
V = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*R_A/V))^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 Volume of Rhombic Dodecahedron given Surface to Volume Ratio?

Volume of Rhombic Dodecahedron given Surface to Volume Ratio calculator uses Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3 to calculate the Volume of Rhombic Dodecahedron, The Volume of Rhombic Dodecahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using surface to volume ratio of Rhombic Dodecahedron. Volume of Rhombic Dodecahedron is denoted by V symbol.

How to calculate Volume of Rhombic Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume 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 Volume of Rhombic Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 2386.485 = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*0.4))^3.

FAQ

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

The Volume of Rhombic Dodecahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using surface to volume ratio of Rhombic Dodecahedron and is represented as V = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*R_A/V))^3 or Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3. 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 Volume of Rhombic Dodecahedron given Surface to Volume Ratio?

The Volume of Rhombic Dodecahedron given Surface to Volume Ratio formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using surface to volume ratio of Rhombic Dodecahedron is calculated using Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3. To calculate Volume 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 Volume of Rhombic Dodecahedron?

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

Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*Edge Length of Rhombic Dodecahedron^3
Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3
Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2)
Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3

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