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Face Area of Dodecahedron given Lateral Surface Area 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{LSA}{10}

A_Face - Face Area of Dodecahedron?LSA - Lateral Surface Area of Dodecahedron?

Face Area of Dodecahedron given Lateral Surface Area Example

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

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

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

175 = \frac{1750}{10}

175m² = \frac{1750m²}{10}

175 = \frac{1750}{10}

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Face Area of Dodecahedron given Lateral Surface Area Solution

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

FIRST Step Consider the formula

A Face = \frac{LSA}{10}

Next Step Substitute values of Variables

∴

A Face = \frac{1750m²}{10}

Next Step Prepare to Evaluate

∴

A Face = \frac{1750}{10}

LAST Step Evaluate

∴

A Face = 175m²

Face Area of Dodecahedron given Lateral Surface Area Formula Elements

Variables

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

Lateral Surface Area of Dodecahedron

Lateral Surface Area of Dodecahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Dodecahedron.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Dodecahedron

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 Lateral Surface Area?

Face Area of Dodecahedron given Lateral Surface Area evaluator uses Face Area of Dodecahedron = Lateral Surface Area of Dodecahedron/10 to evaluate the Face Area of Dodecahedron, The Face Area of Dodecahedron given Lateral Surface Area formula is defined as the amount of space occupied by any one of the 12 faces of Dodecahedron, and calculated using lateral surface area of Dodecahedron. Face Area of Dodecahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Dodecahedron given Lateral Surface Area

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

The formula of Face Area of Dodecahedron given Lateral Surface Area is expressed as Face Area of Dodecahedron = Lateral Surface Area of Dodecahedron/10. Here is an example- 175 = 1750/10.

How to calculate Face Area of Dodecahedron given Lateral Surface Area?

With Lateral Surface Area of Dodecahedron (LSA) we can find Face Area of Dodecahedron given Lateral Surface Area using the formula - Face Area of Dodecahedron = Lateral Surface Area of Dodecahedron/10.

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 Lateral Surface Area be negative?

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

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

Face Area of Dodecahedron given Lateral Surface Area 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 Lateral Surface Area can be measured.

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