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Face Area of Dodecahedron given Surface to Volume Ratio 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{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

A_Face - Face Area of Dodecahedron?R_A/V - Surface to Volume Ratio of Dodecahedron?

Face Area of Dodecahedron given Surface to Volume Ratio Example

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

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

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

138.7573 = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

138.7573m² = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

138.7573 = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

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Face Area of Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

Next Step Substitute values of Variables

∴

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

Next Step Prepare to Evaluate

∴

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{12 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))})}^{2}

Next Step Evaluate

∴

A Face = 138.757275712888m²

LAST Step Rounding Answer

∴

A Face = 138.7573m²

Face Area of Dodecahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Dodecahedron

The Surface to Volume Ratio of Dodecahedron is the numerical ratio of the total surface area to the volume of the Dodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

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

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

FAQs on Face Area of Dodecahedron given Surface to Volume Ratio

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

The formula of Face Area of Dodecahedron given Surface to Volume Ratio is expressed as Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*((12*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))))^2. Here is an example- 138.7573 = 1/4*sqrt(25+(10*sqrt(5)))*((12*(sqrt(25+(10*sqrt(5)))))/(0.3*(15+(7*sqrt(5)))))^2.

How to calculate Face Area of Dodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Dodecahedron (R_A/V) we can find Face Area of Dodecahedron given Surface to Volume Ratio using the formula - Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*((12*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))))^2. This formula also uses Square Root Function 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 Surface to Volume Ratio be negative?

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

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

Face Area of Dodecahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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