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Perimeter of Dodecahedron given Surface to Volume Ratio 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{360 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))}

P - Perimeter of Dodecahedron?R_A/V - Surface to Volume Ratio of Dodecahedron?

Perimeter of Dodecahedron given Surface to Volume Ratio Example

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

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

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

269.4168 = \frac{360 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))}

269.4168m = \frac{360 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))}

269.4168 = \frac{360 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))}

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Perimeter of Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

P = \frac{360 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

P = \frac{360 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

P = \frac{360 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))}

Next Step Evaluate

∴

P = 269.416785947751m

LAST Step Rounding Answer

∴

P = 269.4168m

Perimeter of Dodecahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Dodecahedron

The Surface to Volume Ratio of Dodecahedron is the numerical ratio of the total surface area to the volume of the Dodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Perimeter of Dodecahedron given Surface to Volume Ratio evaluator uses Perimeter of Dodecahedron = (360*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))) to evaluate the Perimeter of Dodecahedron, The Perimeter of Dodecahedron given Surface to Volume Ratio formula is defined as the sum of the total distance around all the edges of the Dodecahedron and is calculated using the surface to volume ratio of the Dodecahedron. Perimeter of Dodecahedron is denoted by P symbol.

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

FAQs on Perimeter of Dodecahedron given Surface to Volume Ratio

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

The formula of Perimeter of Dodecahedron given Surface to Volume Ratio is expressed as Perimeter of Dodecahedron = (360*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))). Here is an example- 269.4168 = (360*(sqrt(25+(10*sqrt(5)))))/(0.3*(15+(7*sqrt(5)))).

How to calculate Perimeter of Dodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Dodecahedron (R_A/V) we can find Perimeter of Dodecahedron given Surface to Volume Ratio using the formula - Perimeter of Dodecahedron = (360*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*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 Surface to Volume Ratio be negative?

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

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

Perimeter of Dodecahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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