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Surface to Volume Ratio of Great Dodecahedron given Ridge Length Formula

GoSurface to Volume Ratio of Great Dodecahedron Formula

GoSurface to Volume Ratio of Great Dodecahedron given Circumsphere Radius Formula

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

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot l Ridge}

R_A/V - Surface to Volume Ratio of Great Dodecahedron?l_Ridge - Ridge Length of Great Dodecahedron?

Surface to Volume Ratio of Great Dodecahedron given Ridge Length Example

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

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

Here is how the Surface to Volume Ratio of Great Dodecahedron given Ridge Length equation looks like.

0.7265 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot 6}

0.7265m⁻¹ = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot 6m}

0.7265 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot 6}

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Surface to Volume Ratio of Great Dodecahedron given Ridge Length Solution

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

FIRST Step Consider the formula

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot l Ridge}

Next Step Substitute values of Variables

∴

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot 6m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot 6}

Next Step Evaluate

∴

R A/V = 0.726542528005361m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7265m⁻¹

Surface to Volume Ratio of Great Dodecahedron given Ridge Length Formula Elements

Variables

Functions

Surface to Volume Ratio of Great Dodecahedron

Surface to Volume Ratio of Great Dodecahedron is the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great 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 Great Dodecahedron

Ridge Length of Great Dodecahedron

Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron.

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge Length of Great 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 Great Dodecahedron

Go Surface to Volume Ratio of Great Dodecahedron

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot l e}

Go Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot r c}

Go Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot h Pyramid}

Go Surface to Volume Ratio of Great Dodecahedron given Total Surface Area

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \sqrt{\frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{TSA}}

How to Evaluate Surface to Volume Ratio of Great Dodecahedron given Ridge Length?

Surface to Volume Ratio of Great Dodecahedron given Ridge Length evaluator uses Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4)*1/(2*Ridge Length of Great Dodecahedron) to evaluate the Surface to Volume Ratio of Great Dodecahedron, Surface to Volume Ratio of Great Dodecahedron given Ridge Length formula is defined as the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron, calculated using its ridge length. Surface to Volume Ratio of Great Dodecahedron is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Great Dodecahedron given Ridge Length using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Great Dodecahedron given Ridge Length, enter Ridge Length of Great Dodecahedron (l_Ridge) and hit the calculate button.

FAQs on Surface to Volume Ratio of Great Dodecahedron given Ridge Length

What is the formula to find Surface to Volume Ratio of Great Dodecahedron given Ridge Length?

The formula of Surface to Volume Ratio of Great Dodecahedron given Ridge Length is expressed as Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4)*1/(2*Ridge Length of Great Dodecahedron). Here is an example- 0.726543 = (15*sqrt(5-(2*sqrt(5))))/(5/4)*1/(2*6).

How to calculate Surface to Volume Ratio of Great Dodecahedron given Ridge Length?

With Ridge Length of Great Dodecahedron (l_Ridge) we can find Surface to Volume Ratio of Great Dodecahedron given Ridge Length using the formula - Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4)*1/(2*Ridge Length of Great Dodecahedron). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Edge Length of Great Dodecahedron)
Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*sqrt(10+(2*sqrt(5)))/(4*Circumsphere Radius of Great Dodecahedron)
Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*(sqrt(3)*(3-sqrt(5)))/(6*Pyramidal Height of Great Dodecahedron)

Can the Surface to Volume Ratio of Great Dodecahedron given Ridge Length be negative?

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

Which unit is used to measure Surface to Volume Ratio of Great Dodecahedron given Ridge Length?

Surface to Volume Ratio of Great Dodecahedron given Ridge Length 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 Great Dodecahedron given Ridge Length can be measured.

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