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Volume of Dodecahedron Formula

GoVolume of Dodecahedron given Circumsphere Radius Formula

GoVolume of Dodecahedron given Lateral Surface Area Formula

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

V = \frac{(15 + (7 \cdot \sqrt{5})) \cdot {l e}^{3}}{4}

V - Volume of Dodecahedron?l_e - Edge Length of Dodecahedron?

Volume of Dodecahedron Example

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Here is how the Volume of Dodecahedron equation looks like with Values.

Here is how the Volume of Dodecahedron equation looks like with Units.

Here is how the Volume of Dodecahedron equation looks like.

7663.119 = \frac{(15 + (7 \cdot \sqrt{5})) \cdot 10^{3}}{4}

7663.119m³ = \frac{(15 + (7 \cdot \sqrt{5})) \cdot {10m}^{3}}{4}

7663.119 = \frac{(15 + (7 \cdot \sqrt{5})) \cdot 10^{3}}{4}

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Volume of Dodecahedron Solution

Follow our step by step solution on how to calculate Volume of Dodecahedron?

FIRST Step Consider the formula

V = \frac{(15 + (7 \cdot \sqrt{5})) \cdot {l e}^{3}}{4}

Next Step Substitute values of Variables

∴

V = \frac{(15 + (7 \cdot \sqrt{5})) \cdot {10m}^{3}}{4}

Next Step Prepare to Evaluate

∴

V = \frac{(15 + (7 \cdot \sqrt{5})) \cdot 10^{3}}{4}

Next Step Evaluate

∴

V = 7663.11896062463m³

LAST Step Rounding Answer

∴

V = 7663.119m³

Volume of Dodecahedron Formula Elements

Variables

Functions

Volume of Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Dodecahedron

Edge Length of Dodecahedron

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of 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 Dodecahedron

Go Volume of Dodecahedron given Circumsphere Radius

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})})}^{3}

Go Volume of Dodecahedron given Lateral Surface Area

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}})}^{\frac{3}{2}}

Go Volume of Dodecahedron given Perimeter

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{P}{30})}^{3}

How to Evaluate Volume of Dodecahedron?

Volume of Dodecahedron evaluator uses Volume of Dodecahedron = ((15+(7*sqrt(5)))*Edge Length of Dodecahedron^3)/4 to evaluate the Volume of Dodecahedron, Volume of Dodecahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Dodecahedron. Volume of Dodecahedron is denoted by V symbol.

How to evaluate Volume of Dodecahedron using this online evaluator? To use this online evaluator for Volume of Dodecahedron, enter Edge Length of Dodecahedron (l_e) and hit the calculate button.

FAQs on Volume of Dodecahedron

What is the formula to find Volume of Dodecahedron?

The formula of Volume of Dodecahedron is expressed as Volume of Dodecahedron = ((15+(7*sqrt(5)))*Edge Length of Dodecahedron^3)/4. Here is an example- 7663.119 = ((15+(7*sqrt(5)))*10^3)/4.

How to calculate Volume of Dodecahedron?

With Edge Length of Dodecahedron (l_e) we can find Volume of Dodecahedron using the formula - Volume of Dodecahedron = ((15+(7*sqrt(5)))*Edge Length of Dodecahedron^3)/4. This formula also uses Square Root Function function(s).

What are the other ways to Calculate Volume of Dodecahedron?

Here are the different ways to Calculate Volume of Dodecahedron-

Volume of Dodecahedron=1/4*(15+(7*sqrt(5)))*((4*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5))))^3
Volume of Dodecahedron=1/4*(15+(7*sqrt(5)))*((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+(10*sqrt(5)))))^(3/2)
Volume of Dodecahedron=1/4*(15+(7*sqrt(5)))*(Perimeter of Dodecahedron/30)^3

Can the Volume of Dodecahedron be negative?

No, the Volume of Dodecahedron, measured in Volume cannot be negative.

Which unit is used to measure Volume of Dodecahedron?

Volume of Dodecahedron 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 Dodecahedron can be measured.

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