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Face Perimeter of Dodecahedron given Lateral Surface Area Formula

GoFace Perimeter of Dodecahedron Formula

GoFace Perimeter of Dodecahedron given Face Area Formula

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Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron. Check FAQs

P Face = \sqrt{\frac{10 \cdot LSA}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

P_Face - Face Perimeter of Dodecahedron?LSA - Lateral Surface Area of Dodecahedron?

Face Perimeter of Dodecahedron given Lateral Surface Area Example

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

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

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

50.4272 = \sqrt{\frac{10 \cdot 1750}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

50.4272m = \sqrt{\frac{10 \cdot 1750m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

50.4272 = \sqrt{\frac{10 \cdot 1750}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

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Face Perimeter of Dodecahedron given Lateral Surface Area Solution

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

FIRST Step Consider the formula

P Face = \sqrt{\frac{10 \cdot LSA}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

P Face = \sqrt{\frac{10 \cdot 1750m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

P Face = \sqrt{\frac{10 \cdot 1750}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

P Face = 50.427163791143m

LAST Step Rounding Answer

∴

P Face = 50.4272m

Face Perimeter of Dodecahedron given Lateral Surface Area Formula Elements

Variables

Functions

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter 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

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 Perimeter of Dodecahedron

Go Face Perimeter of Dodecahedron

P Face = 5 \cdot l e

Go Face Perimeter of Dodecahedron given Face Area

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

Go Face Perimeter of Dodecahedron given Total Surface Area

P Face = 5 \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Face Perimeter of Dodecahedron given Circumsphere Radius

P Face = \frac{20 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

How to Evaluate Face Perimeter of Dodecahedron given Lateral Surface Area?

Face Perimeter of Dodecahedron given Lateral Surface Area evaluator uses Face Perimeter of Dodecahedron = sqrt((10*Lateral Surface Area of Dodecahedron)/sqrt(25+(10*sqrt(5)))) to evaluate the Face Perimeter of Dodecahedron, The Face Perimeter of Dodecahedron given Lateral Surface Area formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the lateral surface area of Dodecahedron. Face Perimeter of Dodecahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Dodecahedron given Lateral Surface Area

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

The formula of Face Perimeter of Dodecahedron given Lateral Surface Area is expressed as Face Perimeter of Dodecahedron = sqrt((10*Lateral Surface Area of Dodecahedron)/sqrt(25+(10*sqrt(5)))). Here is an example- 50.42716 = sqrt((10*1750)/sqrt(25+(10*sqrt(5)))).

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

With Lateral Surface Area of Dodecahedron (LSA) we can find Face Perimeter of Dodecahedron given Lateral Surface Area using the formula - Face Perimeter of Dodecahedron = sqrt((10*Lateral Surface Area of Dodecahedron)/sqrt(25+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Face Perimeter of Dodecahedron?

Here are the different ways to Calculate Face Perimeter of Dodecahedron-

Face Perimeter of Dodecahedron=5*Edge Length of Dodecahedron
Face Perimeter of Dodecahedron=5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*sqrt(5)))))
Face Perimeter of Dodecahedron=5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Face Perimeter of Dodecahedron given Lateral Surface Area be negative?

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

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

Face Perimeter of Dodecahedron given Lateral Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Face Perimeter of Dodecahedron given Lateral Surface Area can be measured.

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