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Perimeter of Dodecahedron given Total Surface Area Formula

GoPerimeter of Dodecahedron Formula

GoPerimeter of Dodecahedron given Circumsphere Radius Formula

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Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron. Check FAQs

P = 30 \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

P - Perimeter of Dodecahedron?TSA - Total Surface Area of Dodecahedron?

Perimeter of Dodecahedron given Total Surface Area Example

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

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

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

302.563 = 30 \cdot \sqrt{\frac{2100}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

302.563m = 30 \cdot \sqrt{\frac{2100m²}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

302.563 = 30 \cdot \sqrt{\frac{2100}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

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Perimeter of Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

P = 30 \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

P = 30 \cdot \sqrt{\frac{2100m²}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

P = 30 \cdot \sqrt{\frac{2100}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

P = 302.562982746858m

LAST Step Rounding Answer

∴

P = 302.563m

Perimeter of Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Perimeter of Dodecahedron

Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 Perimeter of Dodecahedron

Go Perimeter of Dodecahedron

P = 30 \cdot l e

Go Perimeter of Dodecahedron given Circumsphere Radius

P = \frac{120 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

Other formulas in Perimeter of Dodecahedron category

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})}}}

How to Evaluate Perimeter of Dodecahedron given Total Surface Area?

Perimeter of Dodecahedron given Total Surface Area evaluator uses Perimeter of Dodecahedron = 30*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5))))) to evaluate the Perimeter of Dodecahedron, The Perimeter of Dodecahedron given Total Surface Area formula is defined as the sum of the total distance around all the edges of the Dodecahedron and is calculated using the total surface area of the Dodecahedron. Perimeter of Dodecahedron is denoted by P symbol.

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

FAQs on Perimeter of Dodecahedron given Total Surface Area

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

The formula of Perimeter of Dodecahedron given Total Surface Area is expressed as Perimeter of Dodecahedron = 30*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5))))). Here is an example- 302.563 = 30*sqrt(2100/(3*sqrt(25+(10*sqrt(5))))).

How to calculate Perimeter of Dodecahedron given Total Surface Area?

With Total Surface Area of Dodecahedron (TSA) we can find Perimeter of Dodecahedron given Total Surface Area using the formula - Perimeter of Dodecahedron = 30*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 Perimeter of Dodecahedron?

Here are the different ways to Calculate Perimeter of Dodecahedron-

Perimeter of Dodecahedron=30*Edge Length of Dodecahedron
Perimeter of Dodecahedron=(120*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))

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

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

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

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 Perimeter of Dodecahedron given Total Surface Area can be measured.

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