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Volume of Rhombic Dodecahedron given Insphere Radius 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 = 4 \cdot \sqrt{2} \cdot {r i}^{3}

V - Volume of Rhombic Dodecahedron?r_i - Insphere Radius of Rhombic Dodecahedron?

Volume of Rhombic Dodecahedron given Insphere Radius Example

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

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

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

2896.3094 = 4 \cdot \sqrt{2} \cdot 8^{3}

2896.3094m³ = 4 \cdot \sqrt{2} \cdot {8m}^{3}

2896.3094 = 4 \cdot \sqrt{2} \cdot 8^{3}

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Volume of Rhombic Dodecahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = 4 \cdot \sqrt{2} \cdot {8m}^{3}

Next Step Prepare to Evaluate

∴

V = 4 \cdot \sqrt{2} \cdot 8^{3}

Next Step Evaluate

∴

V = 2896.3093757401m³

LAST Step Rounding Answer

∴

V = 2896.3094m³

Volume of Rhombic Dodecahedron given Insphere 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

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.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere 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 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 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}

How to Evaluate Volume of Rhombic Dodecahedron given Insphere Radius?

Volume of Rhombic Dodecahedron given Insphere Radius evaluator uses Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3 to evaluate the Volume of Rhombic Dodecahedron, The Volume of Rhombic Dodecahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using insphere radius of Rhombic Dodecahedron. Volume of Rhombic Dodecahedron is denoted by V symbol.

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

FAQs on Volume of Rhombic Dodecahedron given Insphere Radius

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

The formula of Volume of Rhombic Dodecahedron given Insphere Radius is expressed as Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^3. Here is an example- 2896.309 = 4*sqrt(2)*8^3.

How to calculate Volume of Rhombic Dodecahedron given Insphere Radius?

With Insphere Radius of Rhombic Dodecahedron (r_i) we can find Volume of Rhombic Dodecahedron given Insphere Radius using the formula - Volume of Rhombic Dodecahedron = 4*sqrt(2)*Insphere Radius 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 Insphere Radius be negative?

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

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

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

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