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Perimeter of Dodecahedron given Volume 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 {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

P - Perimeter of Dodecahedron?V - Volume of Dodecahedron?

Perimeter of Dodecahedron given Volume Example

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

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

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

300.4805 = 30 \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

300.4805m = 30 \cdot {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

300.4805 = 30 \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

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Perimeter of Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

P = 30 \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

P = 30 \cdot {(\frac{4 \cdot 7700m³}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

P = 30 \cdot {(\frac{4 \cdot 7700}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

P = 300.480509701955m

LAST Step Rounding Answer

∴

P = 300.4805m

Perimeter of Dodecahedron given Volume 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

Volume of Dodecahedron

Volume of Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

Perimeter of Dodecahedron given Volume evaluator uses Perimeter of Dodecahedron = 30*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3) to evaluate the Perimeter of Dodecahedron, The Perimeter of Dodecahedron given Volume formula is defined as the sum of the total distance around all the edges of the Dodecahedron and is calculated using the volume of the Dodecahedron. Perimeter of Dodecahedron is denoted by P symbol.

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

FAQs on Perimeter of Dodecahedron given Volume

What is the formula to find Perimeter of Dodecahedron given Volume?

The formula of Perimeter of Dodecahedron given Volume is expressed as Perimeter of Dodecahedron = 30*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3). Here is an example- 300.4805 = 30*((4*7700)/(15+(7*sqrt(5))))^(1/3).

How to calculate Perimeter of Dodecahedron given Volume?

With Volume of Dodecahedron (V) we can find Perimeter of Dodecahedron given Volume using the formula - Perimeter of Dodecahedron = 30*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3). 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 Volume be negative?

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

Which unit is used to measure Perimeter of Dodecahedron given Volume?

Perimeter of Dodecahedron given Volume 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 Volume can be measured.

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