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Face Area of Dodecahedron Formula

GoFace Area of Dodecahedron given Midsphere 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 {l e}^{2}

A_Face - Face Area of Dodecahedron?l_e - Edge Length of Dodecahedron?

Face Area of Dodecahedron Example

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

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

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

172.0477 = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 10^{2}

172.0477m² = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {10m}^{2}

172.0477 = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 10^{2}

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Face Area of Dodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A Face = 172.047740058897m²

LAST Step Rounding Answer

∴

A Face = 172.0477m²

Face Area of Dodecahedron 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

Edge Length of Dodecahedron

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 given Midsphere Radius

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

Other formulas in Face Area of Dodecahedron category

Go Lateral Surface Area of Dodecahedron

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Lateral Surface Area of Dodecahedron given Total Surface Area

LSA = \frac{5}{6} \cdot TSA

Go Total Surface Area of Dodecahedron

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Total Surface Area of Dodecahedron given Volume

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

How to Evaluate Face Area of Dodecahedron?

Face Area of Dodecahedron evaluator uses Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2 to evaluate the Face Area of Dodecahedron, The Face Area of Dodecahedron formula is defined as the amount of space occupied by any one of the 12 faces of Dodecahedron. Face Area of Dodecahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Dodecahedron

What is the formula to find Face Area of Dodecahedron?

The formula of Face Area of Dodecahedron is expressed as Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2. Here is an example- 172.0477 = 1/4*sqrt(25+(10*sqrt(5)))*10^2.

How to calculate Face Area of Dodecahedron?

With Edge Length of Dodecahedron (l_e) we can find Face Area of Dodecahedron using the formula - Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2. 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)))*((4*Midsphere Radius of Dodecahedron)/(3+sqrt(5)))^2

Can the Face Area of Dodecahedron be negative?

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

Which unit is used to measure Face Area of Dodecahedron?

Face Area of Dodecahedron 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 can be measured.

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