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Perimeter of Dodecahedron given Lateral 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{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

P - Perimeter of Dodecahedron?LSA - Lateral Surface Area of Dodecahedron?

Perimeter of Dodecahedron given Lateral Surface Area Example

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

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

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

302.563 = 30 \cdot \sqrt{\frac{2 \cdot 1750}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

302.563m = 30 \cdot \sqrt{\frac{2 \cdot 1750m²}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

302.563 = 30 \cdot \sqrt{\frac{2 \cdot 1750}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

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Perimeter of Dodecahedron given Lateral Surface Area Solution

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

FIRST Step Consider the formula

P = 30 \cdot \sqrt{\frac{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

P = 30 \cdot \sqrt{\frac{2 \cdot 1750m²}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

P = 30 \cdot \sqrt{\frac{2 \cdot 1750}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

P = 302.562982746858m

LAST Step Rounding Answer

∴

P = 302.563m

Perimeter of Dodecahedron given Lateral 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

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 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})}

Go Perimeter of Dodecahedron given Face Area

P = 30 \cdot \sqrt{\frac{12 \cdot A Face}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Perimeter of Dodecahedron given Face Diagonal

P = \frac{60 \cdot d Face}{1 + \sqrt{5}}

How to Evaluate Perimeter of Dodecahedron given Lateral Surface Area?

Perimeter of Dodecahedron given Lateral Surface Area evaluator uses Perimeter of Dodecahedron = 30*sqrt((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+(10*sqrt(5))))) to evaluate the Perimeter of Dodecahedron, The Perimeter of Dodecahedron given Lateral Surface Area formula is defined as the sum of the total distance around all the edges of the Dodecahedron and is calculated using the lateral surface area of the Dodecahedron. Perimeter of Dodecahedron is denoted by P symbol.

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

FAQs on Perimeter of Dodecahedron given Lateral Surface Area

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

The formula of Perimeter of Dodecahedron given Lateral Surface Area is expressed as Perimeter of Dodecahedron = 30*sqrt((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+(10*sqrt(5))))). Here is an example- 302.563 = 30*sqrt((2*1750)/(5*sqrt(25+(10*sqrt(5))))).

How to calculate Perimeter of Dodecahedron given Lateral Surface Area?

With Lateral Surface Area of Dodecahedron (LSA) we can find Perimeter of Dodecahedron given Lateral Surface Area using the formula - Perimeter of Dodecahedron = 30*sqrt((2*Lateral Surface Area of Dodecahedron)/(5*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)))
Perimeter of Dodecahedron=30*sqrt((12*Face Area of Dodecahedron)/(3*sqrt(25+(10*sqrt(5)))))

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

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

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

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 Perimeter of Dodecahedron given Lateral Surface Area can be measured.

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