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Volume of Dodecahedron given Face Perimeter Formula

GoVolume of Dodecahedron Formula

GoVolume of Dodecahedron given Space Diagonal 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{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{P Face}{5})}^{3}

V - Volume of Dodecahedron?P_Face - Face Perimeter of Dodecahedron?

Volume of Dodecahedron given Face Perimeter Example

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

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

Here is how the Volume of Dodecahedron given Face Perimeter equation looks like.

7663.119 = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{50}{5})}^{3}

7663.119m³ = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{50m}{5})}^{3}

7663.119 = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{50}{5})}^{3}

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Volume of Dodecahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{50m}{5})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{50}{5})}^{3}

Next Step Evaluate

∴

V = 7663.11896062463m³

LAST Step Rounding Answer

∴

V = 7663.119m³

Volume of Dodecahedron given Face Perimeter 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

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter 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

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

Go Volume of Dodecahedron given Space Diagonal

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{2 \cdot d Space}{\sqrt{3} \cdot (1 + \sqrt{5})})}^{3}

Go Volume of Dodecahedron given Total Surface Area

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

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}

How to Evaluate Volume of Dodecahedron given Face Perimeter?

Volume of Dodecahedron given Face Perimeter evaluator uses Volume of Dodecahedron = 1/4*(15+(7*sqrt(5)))*(Face Perimeter of Dodecahedron/5)^3 to evaluate the Volume of Dodecahedron, The Volume of Dodecahedron given Face Perimeter formula is defined as the total quantity of three dimensional space enclosed by the surface of the Dodecahedron, and calculated using the face perimeter of Dodecahedron. Volume of Dodecahedron is denoted by V symbol.

How to evaluate Volume of Dodecahedron given Face Perimeter using this online evaluator? To use this online evaluator for Volume of Dodecahedron given Face Perimeter, enter Face Perimeter of Dodecahedron (P_Face) and hit the calculate button.

FAQs on Volume of Dodecahedron given Face Perimeter

What is the formula to find Volume of Dodecahedron given Face Perimeter?

The formula of Volume of Dodecahedron given Face Perimeter is expressed as Volume of Dodecahedron = 1/4*(15+(7*sqrt(5)))*(Face Perimeter of Dodecahedron/5)^3. Here is an example- 7663.119 = 1/4*(15+(7*sqrt(5)))*(50/5)^3.

How to calculate Volume of Dodecahedron given Face Perimeter?

With Face Perimeter of Dodecahedron (P_Face) we can find Volume of Dodecahedron given Face Perimeter using the formula - Volume of Dodecahedron = 1/4*(15+(7*sqrt(5)))*(Face Perimeter of Dodecahedron/5)^3. 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=((15+(7*sqrt(5)))*Edge Length of Dodecahedron^3)/4
Volume of Dodecahedron=1/4*(15+(7*sqrt(5)))*((2*Space Diagonal of Dodecahedron)/(sqrt(3)*(1+sqrt(5))))^3
Volume of Dodecahedron=1/4*(15+(7*sqrt(5)))*(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))^(3/2)

Can the Volume of Dodecahedron given Face Perimeter be negative?

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

Which unit is used to measure Volume of Dodecahedron given Face Perimeter?

Volume of Dodecahedron given Face Perimeter 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 given Face Perimeter can be measured.

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