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Volume of Truncated Dodecahedron given Dodecahedral Edge Length Formula

GoVolume of Truncated Dodecahedron Formula

GoVolume of Truncated Dodecahedron given Total Surface Area Formula

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Volume of Truncated Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Dodecahedron. Check FAQs

V = \frac{99 + (47 \cdot \sqrt{5})}{12 \cdot \sqrt{5}} \cdot {l e(Dodecahedron)}^{3}

V - Volume of Truncated Dodecahedron?l_{e(Dodecahedron)} - Dodecahedral Edge Length of Truncated Dodecahedron?

Volume of Truncated Dodecahedron given Dodecahedral Edge Length Example

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Here is how the Volume of Truncated Dodecahedron given Dodecahedral Edge Length equation looks like with Values.

Here is how the Volume of Truncated Dodecahedron given Dodecahedral Edge Length equation looks like with Units.

Here is how the Volume of Truncated Dodecahedron given Dodecahedral Edge Length equation looks like.

80990.5922 = \frac{99 + (47 \cdot \sqrt{5})}{12 \cdot \sqrt{5}} \cdot 22^{3}

80990.5922m³ = \frac{99 + (47 \cdot \sqrt{5})}{12 \cdot \sqrt{5}} \cdot {22m}^{3}

80990.5922 = \frac{99 + (47 \cdot \sqrt{5})}{12 \cdot \sqrt{5}} \cdot 22^{3}

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Volume of Truncated Dodecahedron given Dodecahedral Edge Length Solution

Follow our step by step solution on how to calculate Volume of Truncated Dodecahedron given Dodecahedral Edge Length?

FIRST Step Consider the formula

V = \frac{99 + (47 \cdot \sqrt{5})}{12 \cdot \sqrt{5}} \cdot {l e(Dodecahedron)}^{3}

Next Step Substitute values of Variables

∴

V = \frac{99 + (47 \cdot \sqrt{5})}{12 \cdot \sqrt{5}} \cdot {22m}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{99 + (47 \cdot \sqrt{5})}{12 \cdot \sqrt{5}} \cdot 22^{3}

Next Step Evaluate

∴

V = 80990.592176956m³

LAST Step Rounding Answer

∴

V = 80990.5922m³

Volume of Truncated Dodecahedron given Dodecahedral Edge Length Formula Elements

Variables

Functions

Volume of Truncated Dodecahedron

Volume of Truncated Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Dodecahedron

Dodecahedral Edge Length of Truncated Dodecahedron

Dodecahedral Edge Length of Truncated Dodecahedron is the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron.

Symbol: l_{e(Dodecahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Dodecahedral Edge Length of Truncated 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 Truncated Dodecahedron

Go Volume of Truncated Dodecahedron

V = \frac{5}{12} \cdot (99 + (47 \cdot \sqrt{5})) \cdot {l e}^{3}

Go Volume of Truncated Dodecahedron given Total Surface Area

V = \frac{5}{12} \cdot (99 + (47 \cdot \sqrt{5})) \cdot {(\sqrt{\frac{TSA}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}})}^{3}

Go Volume of Truncated Dodecahedron given Circumsphere Radius

V = \frac{5}{12} \cdot (99 + (47 \cdot \sqrt{5})) \cdot {(\frac{4 \cdot r c}{\sqrt{74 + (30 \cdot \sqrt{5})}})}^{3}

Go Volume of Truncated Dodecahedron given Midsphere Radius

V = \frac{5}{12} \cdot (99 + (47 \cdot \sqrt{5})) \cdot {(\frac{4 \cdot r m}{5 + (3 \cdot \sqrt{5})})}^{3}

How to Evaluate Volume of Truncated Dodecahedron given Dodecahedral Edge Length?

Volume of Truncated Dodecahedron given Dodecahedral Edge Length evaluator uses Volume of Truncated Dodecahedron = (99+(47*sqrt(5)))/(12*sqrt(5))*Dodecahedral Edge Length of Truncated Dodecahedron^3 to evaluate the Volume of Truncated Dodecahedron, Volume of Truncated Dodecahedron given Dodecahedral Edge Length formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Dodecahedron, and calculated using the dodecahedral edge length of the Truncated Dodecahedron. Volume of Truncated Dodecahedron is denoted by V symbol.

How to evaluate Volume of Truncated Dodecahedron given Dodecahedral Edge Length using this online evaluator? To use this online evaluator for Volume of Truncated Dodecahedron given Dodecahedral Edge Length, enter Dodecahedral Edge Length of Truncated Dodecahedron (l_{e(Dodecahedron)}) and hit the calculate button.

FAQs on Volume of Truncated Dodecahedron given Dodecahedral Edge Length

What is the formula to find Volume of Truncated Dodecahedron given Dodecahedral Edge Length?

The formula of Volume of Truncated Dodecahedron given Dodecahedral Edge Length is expressed as Volume of Truncated Dodecahedron = (99+(47*sqrt(5)))/(12*sqrt(5))*Dodecahedral Edge Length of Truncated Dodecahedron^3. Here is an example- 80990.59 = (99+(47*sqrt(5)))/(12*sqrt(5))*22^3.

How to calculate Volume of Truncated Dodecahedron given Dodecahedral Edge Length?

With Dodecahedral Edge Length of Truncated Dodecahedron (l_{e(Dodecahedron)}) we can find Volume of Truncated Dodecahedron given Dodecahedral Edge Length using the formula - Volume of Truncated Dodecahedron = (99+(47*sqrt(5)))/(12*sqrt(5))*Dodecahedral Edge Length of Truncated Dodecahedron^3. This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Truncated Dodecahedron=5/12*(99+(47*sqrt(5)))*Edge Length of Truncated Dodecahedron^3
Volume of Truncated Dodecahedron=5/12*(99+(47*sqrt(5)))*(sqrt(Total Surface Area of Truncated Dodecahedron/(5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))))^3
Volume of Truncated Dodecahedron=5/12*(99+(47*sqrt(5)))*((4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5)))))^3

Can the Volume of Truncated Dodecahedron given Dodecahedral Edge Length be negative?

No, the Volume of Truncated Dodecahedron given Dodecahedral Edge Length, measured in Volume cannot be negative.

Which unit is used to measure Volume of Truncated Dodecahedron given Dodecahedral Edge Length?

Volume of Truncated Dodecahedron given Dodecahedral Edge Length 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 Truncated Dodecahedron given Dodecahedral Edge Length can be measured.

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