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Surface to Volume Ratio of Dodecahedron given Face Area 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 = \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})}

R_A/V - Surface to Volume Ratio of Dodecahedron?A_Face - Face Area of Dodecahedron?

Surface to Volume Ratio of Dodecahedron given Face Area Example

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

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

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

0.2671 = \sqrt{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4 \cdot 175}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

0.2671m⁻¹ = \sqrt{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4 \cdot 175m²}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

0.2671 = \sqrt{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4 \cdot 175}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

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Surface to Volume Ratio of Dodecahedron given Face Area Solution

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

FIRST Step Consider the formula

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})}

Next Step Substitute values of Variables

∴

R A/V = \sqrt{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4 \cdot 175m²}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

R A/V = \sqrt{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4 \cdot 175}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

Next Step Evaluate

∴

R A/V = 0.267134581535866m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2671m⁻¹

Surface to Volume Ratio of Dodecahedron given Face Area 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 Area of Dodecahedron

The Face Area of Dodecahedron is the amount of space occupied by any one of the 12 faces of Dodecahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area 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 Circumsphere Radius

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

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

Surface to Volume Ratio of Dodecahedron given Face Area evaluator uses Surface to Volume Ratio of Dodecahedron = sqrt(sqrt(25+(10*sqrt(5)))/(4*Face Area of Dodecahedron))*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5))) to evaluate the Surface to Volume Ratio of Dodecahedron, The Surface to Volume Ratio of Dodecahedron given Face Area formula is defined as the numerical ratio of the total surface area to the volume of the Dodecahedron, and calculated using face area of 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 Area using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Dodecahedron given Face Area, enter Face Area of Dodecahedron (A_Face) and hit the calculate button.

FAQs on Surface to Volume Ratio of Dodecahedron given Face Area

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

The formula of Surface to Volume Ratio of Dodecahedron given Face Area is expressed as Surface to Volume Ratio of Dodecahedron = sqrt(sqrt(25+(10*sqrt(5)))/(4*Face Area of Dodecahedron))*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5))). Here is an example- 0.267135 = sqrt(sqrt(25+(10*sqrt(5)))/(4*175))*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5))).

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

With Face Area of Dodecahedron (A_Face) we can find Surface to Volume Ratio of Dodecahedron given Face Area using the formula - Surface to Volume Ratio of Dodecahedron = sqrt(sqrt(25+(10*sqrt(5)))/(4*Face Area of Dodecahedron))*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5))). 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 Area be negative?

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

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

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

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