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Surface to Volume Ratio of Dodecahedron given Face Perimeter Formula

GoSurface to Volume Ratio of Dodecahedron Formula

GoSurface to Volume Ratio of Dodecahedron given Volume Formula

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

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

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

Surface to Volume Ratio of Dodecahedron given Face Perimeter Example

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

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

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

0.2694 = \frac{60 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{(15 + (7 \cdot \sqrt{5})) \cdot 50}

0.2694m⁻¹ = \frac{60 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{(15 + (7 \cdot \sqrt{5})) \cdot 50m}

0.2694 = \frac{60 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{(15 + (7 \cdot \sqrt{5})) \cdot 50}

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Surface to Volume Ratio of Dodecahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{60 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{(15 + (7 \cdot \sqrt{5})) \cdot 50m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{60 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{(15 + (7 \cdot \sqrt{5})) \cdot 50}

Next Step Evaluate

∴

R A/V = 0.269416785947751m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2694m⁻¹

Surface to Volume Ratio of Dodecahedron given Face Perimeter Formula Elements

Variables

Functions

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

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

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 Surface to Volume Ratio of Dodecahedron

Go Surface to Volume Ratio of Dodecahedron

R A/V = \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{l e \cdot (15 + (7 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Dodecahedron given Volume

R A/V = {(\frac{15 + (7 \cdot \sqrt{5})}{4 \cdot V})}^{\frac{1}{3}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

Go Surface to Volume Ratio of Dodecahedron given Total Surface Area

R A/V = \sqrt{\frac{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{TSA}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

Go Surface to Volume Ratio of Dodecahedron given Face Area

R A/V = \sqrt{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4 \cdot A Face}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

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

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

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

FAQs on Surface to Volume Ratio of Dodecahedron given Face Perimeter

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

The formula of Surface to Volume Ratio of Dodecahedron given Face Perimeter is expressed as Surface to Volume Ratio of Dodecahedron = (60*sqrt(25+(10*sqrt(5))))/((15+(7*sqrt(5)))*Face Perimeter of Dodecahedron). Here is an example- 0.269417 = (60*sqrt(25+(10*sqrt(5))))/((15+(7*sqrt(5)))*50).

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

With Face Perimeter of Dodecahedron (P_Face) we can find Surface to Volume Ratio of Dodecahedron given Face Perimeter using the formula - Surface to Volume Ratio of Dodecahedron = (60*sqrt(25+(10*sqrt(5))))/((15+(7*sqrt(5)))*Face Perimeter of Dodecahedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Dodecahedron?

Here are the different ways to Calculate Surface to Volume Ratio of Dodecahedron-

Surface to Volume Ratio of Dodecahedron=(12*sqrt(25+(10*sqrt(5))))/(Edge Length of Dodecahedron*(15+(7*sqrt(5))))
Surface to Volume Ratio of Dodecahedron=((15+(7*sqrt(5)))/(4*Volume of Dodecahedron))^(1/3)*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5)))
Surface to Volume Ratio of Dodecahedron=sqrt((3*sqrt(25+(10*sqrt(5))))/Total Surface Area of Dodecahedron)*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5)))

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

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

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

Surface to Volume Ratio of Dodecahedron given Face Perimeter is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Dodecahedron given Face Perimeter can be measured.

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