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Face Area of Icosahedron given Surface to Volume Ratio Formula

GoFace Area of Icosahedron Formula

GoFace Area of Icosahedron given Midsphere Radius Formula

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

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V})}^{2}

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

Face Area of Icosahedron given Surface to Volume Ratio Example

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

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

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

42.6436 = \frac{\sqrt{3}}{4} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4})}^{2}

42.6436m² = \frac{\sqrt{3}}{4} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4m⁻¹})}^{2}

42.6436 = \frac{\sqrt{3}}{4} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4})}^{2}

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Face Area of Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V})}^{2}

Next Step Substitute values of Variables

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4m⁻¹})}^{2}

Next Step Prepare to Evaluate

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 0.4})}^{2}

Next Step Evaluate

∴

A Face = 42.6435987116158m²

LAST Step Rounding Answer

∴

A Face = 42.6436m²

Face Area of Icosahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Face Area of Icosahedron

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

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area of Icosahedron

Surface to Volume Ratio of Icosahedron

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

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Icosahedron

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 Icosahedron

Go Face Area of Icosahedron

A Face = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Face Area of Icosahedron given Midsphere Radius

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

Go Face Area of Icosahedron given Insphere Radius

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{12 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{2}

Go Face Area of Icosahedron given Circumsphere Radius

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

How to Evaluate Face Area of Icosahedron given Surface to Volume Ratio?

Face Area of Icosahedron given Surface to Volume Ratio evaluator uses Face Area of Icosahedron = sqrt(3)/4*((12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron))^2 to evaluate the Face Area of Icosahedron, The Face Area of Icosahedron given Surface to Volume Ratio formula is defined as the amount of space occupied on any one of the twelve triangular faces of an Icosahedron and is calculated using the surface to volume ratio of the Icosahedron. Face Area of Icosahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Icosahedron given Surface to Volume Ratio

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

The formula of Face Area of Icosahedron given Surface to Volume Ratio is expressed as Face Area of Icosahedron = sqrt(3)/4*((12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron))^2. Here is an example- 42.6436 = sqrt(3)/4*((12*sqrt(3))/((3+sqrt(5))*0.4))^2.

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

With Surface to Volume Ratio of Icosahedron (R_A/V) we can find Face Area of Icosahedron given Surface to Volume Ratio using the formula - Face Area of Icosahedron = sqrt(3)/4*((12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron))^2. This formula also uses Square Root (sqrt) function(s).

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

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

Face Area of Icosahedron=sqrt(3)/4*Edge Length of Icosahedron^2
Face Area of Icosahedron=sqrt(3)/4*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^2
Face Area of Icosahedron=sqrt(3)/4*((12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))))^2

Can the Face Area of Icosahedron given Surface to Volume Ratio be negative?

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

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

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

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