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Perimeter of Dodecahedron given Space Diagonal 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 = \frac{60 \cdot d Space}{\sqrt{3} \cdot (1 + \sqrt{5})}

P - Perimeter of Dodecahedron?d_Space - Space Diagonal of Dodecahedron?

Perimeter of Dodecahedron given Space Diagonal Example

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Here is how the Perimeter of Dodecahedron given Space Diagonal equation looks like with Values.

Here is how the Perimeter of Dodecahedron given Space Diagonal equation looks like with Units.

Here is how the Perimeter of Dodecahedron given Space Diagonal equation looks like.

299.7306 = \frac{60 \cdot 28}{\sqrt{3} \cdot (1 + \sqrt{5})}

299.7306m = \frac{60 \cdot 28m}{\sqrt{3} \cdot (1 + \sqrt{5})}

299.7306 = \frac{60 \cdot 28}{\sqrt{3} \cdot (1 + \sqrt{5})}

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Perimeter of Dodecahedron given Space Diagonal Solution

Follow our step by step solution on how to calculate Perimeter of Dodecahedron given Space Diagonal?

FIRST Step Consider the formula

P = \frac{60 \cdot d Space}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Substitute values of Variables

∴

P = \frac{60 \cdot 28m}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

P = \frac{60 \cdot 28}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Evaluate

∴

P = 299.730555409396m

LAST Step Rounding Answer

∴

P = 299.7306m

Perimeter of Dodecahedron given Space Diagonal 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

Space Diagonal of Dodecahedron

The Space Diagonal of Dodecahedron is the line connecting two vertices that are not on the same face of Dodecahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal 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 Space Diagonal?

Perimeter of Dodecahedron given Space Diagonal evaluator uses Perimeter of Dodecahedron = (60*Space Diagonal of Dodecahedron)/(sqrt(3)*(1+sqrt(5))) to evaluate the Perimeter of Dodecahedron, The Perimeter of Dodecahedron given Space Diagonal formula is defined as the sum of the total distance around all the edges of the Dodecahedron and is calculated using the space diagonal of the Dodecahedron. Perimeter of Dodecahedron is denoted by P symbol.

How to evaluate Perimeter of Dodecahedron given Space Diagonal using this online evaluator? To use this online evaluator for Perimeter of Dodecahedron given Space Diagonal, enter Space Diagonal of Dodecahedron (d_Space) and hit the calculate button.

FAQs on Perimeter of Dodecahedron given Space Diagonal

What is the formula to find Perimeter of Dodecahedron given Space Diagonal?

The formula of Perimeter of Dodecahedron given Space Diagonal is expressed as Perimeter of Dodecahedron = (60*Space Diagonal of Dodecahedron)/(sqrt(3)*(1+sqrt(5))). Here is an example- 299.7306 = (60*28)/(sqrt(3)*(1+sqrt(5))).

How to calculate Perimeter of Dodecahedron given Space Diagonal?

With Space Diagonal of Dodecahedron (d_Space) we can find Perimeter of Dodecahedron given Space Diagonal using the formula - Perimeter of Dodecahedron = (60*Space Diagonal of Dodecahedron)/(sqrt(3)*(1+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 Space Diagonal be negative?

No, the Perimeter of Dodecahedron given Space Diagonal, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Dodecahedron given Space Diagonal?

Perimeter of Dodecahedron given Space Diagonal 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 Space Diagonal can be measured.

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