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Face Area of Icosahedron given Volume 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{\frac{12}{5} \cdot V}{3 + \sqrt{5}})}^{\frac{2}{3}}

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

Face Area of Icosahedron given Volume Example

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

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

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

43.5431 = \frac{\sqrt{3}}{4} \cdot {(\frac{\frac{12}{5} \cdot 2200}{3 + \sqrt{5}})}^{\frac{2}{3}}

43.5431m² = \frac{\sqrt{3}}{4} \cdot {(\frac{\frac{12}{5} \cdot 2200m³}{3 + \sqrt{5}})}^{\frac{2}{3}}

43.5431 = \frac{\sqrt{3}}{4} \cdot {(\frac{\frac{12}{5} \cdot 2200}{3 + \sqrt{5}})}^{\frac{2}{3}}

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Face Area of Icosahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{\frac{12}{5} \cdot 2200m³}{3 + \sqrt{5}})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{\frac{12}{5} \cdot 2200}{3 + \sqrt{5}})}^{\frac{2}{3}}

Next Step Evaluate

∴

A Face = 43.5431389736532m²

LAST Step Rounding Answer

∴

A Face = 43.5431m²

Face Area of Icosahedron given Volume 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

Volume of Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

Face Area of Icosahedron given Volume evaluator uses Face Area of Icosahedron = sqrt(3)/4*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3) to evaluate the Face Area of Icosahedron, The Face Area of Icosahedron given Volume 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 volume of the Icosahedron. Face Area of Icosahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Icosahedron given Volume

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

The formula of Face Area of Icosahedron given Volume is expressed as Face Area of Icosahedron = sqrt(3)/4*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3). Here is an example- 43.54314 = sqrt(3)/4*((12/5*2200)/(3+sqrt(5)))^(2/3).

How to calculate Face Area of Icosahedron given Volume?

With Volume of Icosahedron (V) we can find Face Area of Icosahedron given Volume using the formula - Face Area of Icosahedron = sqrt(3)/4*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3). 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 Volume be negative?

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

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

Face Area of Icosahedron 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 Icosahedron given Volume can be measured.

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