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Face Area of Dodecahedron given Volume Formula

GoFace Area of Dodecahedron Formula

GoFace Area of Dodecahedron given Circumsphere Radius Formula

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The Face Area of Dodecahedron is the amount of space occupied by any one of the 12 faces of Dodecahedron. Check FAQs

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

A_Face - Face Area of Dodecahedron?V - Volume of Dodecahedron?

Face Area of Dodecahedron given Volume Example

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

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

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

172.5993 = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

172.5993m² = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

172.5993 = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

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Face Area of Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

Next Step Evaluate

∴

A Face = 172.599318825652m²

LAST Step Rounding Answer

∴

A Face = 172.5993m²

Face Area of Dodecahedron given Volume Formula Elements

Variables

Functions

Face Area of Dodecahedron

The Face Area of Dodecahedron is the amount of space occupied by any one of the 12 faces of Dodecahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area of Dodecahedron

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

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 Face Area of Dodecahedron

Go Face Area of Dodecahedron

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Face Area of Dodecahedron given Circumsphere Radius

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})})}^{2}

Go Face Area of Dodecahedron given Total Surface Area

A Face = \frac{TSA}{12}

Go Face Area of Dodecahedron given Face Diagonal

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot d Face}{1 + \sqrt{5}})}^{2}

How to Evaluate Face Area of Dodecahedron given Volume?

Face Area of Dodecahedron given Volume evaluator uses Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3) to evaluate the Face Area of Dodecahedron, The Face Area of Dodecahedron given Volume formula is defined as the amount of space occupied by any one of the 12 faces of Dodecahedron, and calculated using volume of Dodecahedron. Face Area of Dodecahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Dodecahedron given Volume

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

The formula of Face Area of Dodecahedron given Volume is expressed as Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3). Here is an example- 172.5993 = 1/4*sqrt(25+(10*sqrt(5)))*((4*7700)/(15+(7*sqrt(5))))^(2/3).

How to calculate Face Area of Dodecahedron given Volume?

With Volume of Dodecahedron (V) we can find Face Area of Dodecahedron given Volume using the formula - Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Face Area of Dodecahedron?

Here are the different ways to Calculate Face Area of Dodecahedron-

Face Area of Dodecahedron=1/4*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2
Face Area of Dodecahedron=1/4*sqrt(25+(10*sqrt(5)))*((4*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5))))^2
Face Area of Dodecahedron=Total Surface Area of Dodecahedron/12

Can the Face Area of Dodecahedron given Volume be negative?

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

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

Face Area of Dodecahedron given Volume is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Face Area of Dodecahedron given Volume can be measured.

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