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Volume of Rhombic Dodecahedron given Surface to Volume Ratio Formula

GoVolume of Rhombic Dodecahedron Formula

GoVolume of Rhombic Dodecahedron given Midsphere Radius Formula

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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. Check FAQs

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{9 \cdot \sqrt{2}}{2 \cdot \sqrt{3} \cdot R A/V})}^{3}

V - Volume of Rhombic Dodecahedron?R_A/V - Surface to Volume Ratio of Rhombic Dodecahedron?

Volume of Rhombic Dodecahedron given Surface to Volume Ratio Example

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Here is how the Volume of Rhombic Dodecahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Rhombic Dodecahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Rhombic Dodecahedron given Surface to Volume Ratio equation looks like.

2386.4854 = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{9 \cdot \sqrt{2}}{2 \cdot \sqrt{3} \cdot 0.4})}^{3}

2386.4854m³ = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{9 \cdot \sqrt{2}}{2 \cdot \sqrt{3} \cdot 0.4m⁻¹})}^{3}

2386.4854 = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{9 \cdot \sqrt{2}}{2 \cdot \sqrt{3} \cdot 0.4})}^{3}

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Volume of Rhombic Dodecahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Rhombic Dodecahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{9 \cdot \sqrt{2}}{2 \cdot \sqrt{3} \cdot R A/V})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{9 \cdot \sqrt{2}}{2 \cdot \sqrt{3} \cdot 0.4m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{9 \cdot \sqrt{2}}{2 \cdot \sqrt{3} \cdot 0.4})}^{3}

Next Step Evaluate

∴

V = 2386.4853865046m³

LAST Step Rounding Answer

∴

V = 2386.4854m³

Volume of Rhombic Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Rhombic Dodecahedron

Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombic Dodecahedron

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.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Rhombic Dodecahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Volume of Rhombic Dodecahedron

Go Volume of Rhombic Dodecahedron

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {l e}^{3}

Go Volume of Rhombic Dodecahedron given Midsphere Radius

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{3 \cdot r m}{2 \cdot \sqrt{2}})}^{3}

Go Volume of Rhombic Dodecahedron given Total Surface Area

V = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{TSA}{8 \cdot \sqrt{2}})}^{\frac{3}{2}}

Go Volume of Rhombic Dodecahedron given Insphere Radius

V = 4 \cdot \sqrt{2} \cdot {r i}^{3}

How to Evaluate Volume of Rhombic Dodecahedron given Surface to Volume Ratio?

Volume of Rhombic Dodecahedron given Surface to Volume Ratio evaluator uses Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3 to evaluate 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 evaluate Volume of Rhombic Dodecahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator 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.

FAQs on Volume of Rhombic Dodecahedron given Surface to Volume Ratio

What is the formula to find Volume of Rhombic Dodecahedron given Surface to Volume Ratio?

The formula of Volume of Rhombic Dodecahedron given Surface to Volume Ratio is expressed as Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3. Here is an example- 2386.485 = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*0.4))^3.

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

With Surface to Volume Ratio of Rhombic Dodecahedron (R_A/V) we can find Volume of Rhombic Dodecahedron given Surface to Volume Ratio using the formula - Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Rhombic Dodecahedron?

Here are the different ways to Calculate Volume of Rhombic Dodecahedron-

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)

Can the Volume of Rhombic Dodecahedron given Surface to Volume Ratio be negative?

No, the Volume of Rhombic Dodecahedron given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rhombic Dodecahedron given Surface to Volume Ratio?

Volume of Rhombic Dodecahedron given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Rhombic Dodecahedron given Surface to Volume Ratio can be measured.

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