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Face Perimeter of Dodecahedron given Total 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 = 5 \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

P_Face - Face Perimeter of Dodecahedron?TSA - Total Surface Area of Dodecahedron?

Face Perimeter of Dodecahedron given Total Surface Area Example

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

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

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

50.4272 = 5 \cdot \sqrt{\frac{2100}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

50.4272m = 5 \cdot \sqrt{\frac{2100m²}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

50.4272 = 5 \cdot \sqrt{\frac{2100}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

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Face Perimeter of Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P Face = 5 \cdot \sqrt{\frac{2100m²}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

P Face = 5 \cdot \sqrt{\frac{2100}{3 \cdot \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 Total 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

Total Surface Area of Dodecahedron

Total Surface Area of Dodecahedron is the total quantity of plane enclosed by the entire surface of the Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total 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 Circumsphere Radius

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

Go Face Perimeter of Dodecahedron given Volume

P Face = 5 \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

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

Face Perimeter of Dodecahedron given Total Surface Area evaluator uses Face Perimeter of Dodecahedron = 5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5))))) to evaluate the Face Perimeter of Dodecahedron, The Face Perimeter of Dodecahedron given Total Surface Area formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the total surface area of Dodecahedron. Face Perimeter of Dodecahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Dodecahedron given Total Surface Area

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

The formula of Face Perimeter of Dodecahedron given Total Surface Area is expressed as Face Perimeter of Dodecahedron = 5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5))))). Here is an example- 50.42716 = 5*sqrt(2100/(3*sqrt(25+(10*sqrt(5))))).

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

With Total Surface Area of Dodecahedron (TSA) we can find Face Perimeter of Dodecahedron given Total Surface Area using the formula - Face Perimeter of Dodecahedron = 5*sqrt(Total Surface Area of Dodecahedron/(3*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=(20*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))

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

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

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

Face Perimeter of Dodecahedron given Total 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 Total Surface Area can be measured.

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