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Face Perimeter of Dodecahedron given Surface to Volume Ratio Formula

GoFace Perimeter of Dodecahedron Formula

GoFace Perimeter of Dodecahedron given Face Area Formula

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Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron. Check FAQs

P Face = \frac{60 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))}

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

Face Perimeter of Dodecahedron given Surface to Volume Ratio Example

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

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

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

44.9028 = \frac{60 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))}

44.9028m = \frac{60 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))}

44.9028 = \frac{60 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))}

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Face Perimeter of Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

P Face = \frac{60 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{R A/V \cdot (15 + (7 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

P Face = \frac{60 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

P Face = \frac{60 \cdot (\sqrt{25 + (10 \cdot \sqrt{5})})}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))}

Next Step Evaluate

∴

P Face = 44.9027976579585m

LAST Step Rounding Answer

∴

P Face = 44.9028m

Face Perimeter of Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face 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 Face Perimeter of Dodecahedron

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})}}}

Go Face Perimeter of Dodecahedron given Total Surface Area

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

Go Face Perimeter of Dodecahedron given Circumsphere Radius

P Face = \frac{20 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

How to Evaluate Face Perimeter of Dodecahedron given Surface to Volume Ratio?

Face Perimeter of Dodecahedron given Surface to Volume Ratio evaluator uses Face Perimeter of Dodecahedron = (60*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))) to evaluate the Face Perimeter of Dodecahedron, The Face Perimeter of Dodecahedron given Surface to Volume Ratio formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the surface to volume ratio of Dodecahedron. Face Perimeter of Dodecahedron is denoted by P_Face symbol.

How to evaluate Face Perimeter of Dodecahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Face 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 Face Perimeter of Dodecahedron given Surface to Volume Ratio

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

The formula of Face Perimeter of Dodecahedron given Surface to Volume Ratio is expressed as Face Perimeter of Dodecahedron = (60*(sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))). Here is an example- 44.9028 = (60*(sqrt(25+(10*sqrt(5)))))/(0.3*(15+(7*sqrt(5)))).

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

With Surface to Volume Ratio of Dodecahedron (R_A/V) we can find Face Perimeter of Dodecahedron given Surface to Volume Ratio using the formula - Face Perimeter of Dodecahedron = (60*(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 Face Perimeter of Dodecahedron?

Here are the different ways to Calculate Face Perimeter of Dodecahedron-

Face Perimeter of Dodecahedron=5*Edge Length of Dodecahedron
Face Perimeter of Dodecahedron=5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*sqrt(5)))))
Face Perimeter of Dodecahedron=5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Face Perimeter of Dodecahedron given Surface to Volume Ratio be negative?

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

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

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

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