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Surface to Volume Ratio of Great Dodecahedron Formula

GoSurface to Volume Ratio of Great Dodecahedron given Ridge Length 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 (\sqrt{5} - 1) \cdot l e}

R_A/V - Surface to Volume Ratio of Great Dodecahedron?l_e - Edge Length of Great Dodecahedron?

Surface to Volume Ratio of Great Dodecahedron Example

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

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

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

0.7053 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 10}

0.7053m⁻¹ = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 10m}

0.7053 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 10}

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Surface to Volume Ratio of Great Dodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

R A/V = 0.705342302750968m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7053m⁻¹

Surface to Volume Ratio of Great Dodecahedron 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

Edge Length of Great Dodecahedron

Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge 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 given Ridge Length

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

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?

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

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

FAQs on Surface to Volume Ratio of Great Dodecahedron

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

The formula of Surface to Volume Ratio of Great Dodecahedron is expressed as Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Edge Length of Great Dodecahedron). Here is an example- 0.705342 = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*10).

How to calculate Surface to Volume Ratio of Great Dodecahedron?

With Edge Length of Great Dodecahedron (l_e) we can find Surface to Volume Ratio of Great Dodecahedron using the formula - Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Edge 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)*1/(2*Ridge 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 be negative?

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

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

Surface to Volume Ratio of Great Dodecahedron 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 can be measured.

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