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Volume of Rhombic Dodecahedron given Midsphere Radius Formula

GoVolume of Rhombic Dodecahedron Formula

GoVolume of Rhombic Dodecahedron given Total Surface Area 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{3 \cdot r m}{2 \cdot \sqrt{2}})}^{3}

V - Volume of Rhombic Dodecahedron?r_m - Midsphere Radius of Rhombic Dodecahedron?

Volume of Rhombic Dodecahedron given Midsphere Radius Example

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Here is how the Volume of Rhombic Dodecahedron given Midsphere Radius equation looks like with Values.

Here is how the Volume of Rhombic Dodecahedron given Midsphere Radius equation looks like with Units.

Here is how the Volume of Rhombic Dodecahedron given Midsphere Radius equation looks like.

2678.517 = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{3 \cdot 9}{2 \cdot \sqrt{2}})}^{3}

2678.517m³ = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{3 \cdot 9m}{2 \cdot \sqrt{2}})}^{3}

2678.517 = \frac{16 \cdot \sqrt{3}}{9} \cdot {(\frac{3 \cdot 9}{2 \cdot \sqrt{2}})}^{3}

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Volume of Rhombic Dodecahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Volume of Rhombic Dodecahedron given Midsphere Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 2678.5170337334m³

LAST Step Rounding Answer

∴

V = 2678.517m³

Volume of Rhombic Dodecahedron given Midsphere Radius 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

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.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 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 Surface to Volume Ratio

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

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 Midsphere Radius?

Volume of Rhombic Dodecahedron given Midsphere Radius evaluator uses Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3 to evaluate the Volume of Rhombic Dodecahedron, The Volume of Rhombic Dodecahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron. Volume of Rhombic Dodecahedron is denoted by V symbol.

How to evaluate Volume of Rhombic Dodecahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Volume of Rhombic Dodecahedron given Midsphere Radius, enter Midsphere Radius of Rhombic Dodecahedron (r_m) and hit the calculate button.

FAQs on Volume of Rhombic Dodecahedron given Midsphere Radius

What is the formula to find Volume of Rhombic Dodecahedron given Midsphere Radius?

The formula of Volume of Rhombic Dodecahedron given Midsphere Radius is expressed as Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3. Here is an example- 2678.517 = (16*sqrt(3))/9*((3*9)/(2*sqrt(2)))^3.

How to calculate Volume of Rhombic Dodecahedron given Midsphere Radius?

With Midsphere Radius of Rhombic Dodecahedron (r_m) we can find Volume of Rhombic Dodecahedron given Midsphere Radius using the formula - Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^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*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2)
Volume of Rhombic Dodecahedron=(16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3

Can the Volume of Rhombic Dodecahedron given Midsphere Radius be negative?

No, the Volume of Rhombic Dodecahedron given Midsphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rhombic Dodecahedron given Midsphere Radius?

Volume of Rhombic Dodecahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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