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Surface to Volume Ratio of Great Icosahedron given Long Ridge Length Formula

GoSurface to Volume Ratio of Great Icosahedron Formula

GoSurface to Volume Ratio of Great Icosahedron given Mid Ridge Length Formula

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

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10 \cdot l Ridge(Long)}

R_A/V - Surface to Volume Ratio of Great Icosahedron?l_Ridge(Long) - Long Ridge Length of Great Icosahedron?

Surface to Volume Ratio of Great Icosahedron given Long Ridge Length Example

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

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

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

0.6256 = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10 \cdot 17}

0.6256m⁻¹ = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10 \cdot 17m}

0.6256 = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10 \cdot 17}

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Surface to Volume Ratio of Great Icosahedron given Long Ridge Length Solution

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

FIRST Step Consider the formula

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10 \cdot l Ridge(Long)}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10 \cdot 17m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10 \cdot 17}

Next Step Evaluate

∴

R A/V = 0.62557673961062m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6256m⁻¹

Surface to Volume Ratio of Great Icosahedron given Long Ridge Length Formula Elements

Variables

Functions

Surface to Volume Ratio of Great Icosahedron

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

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 Icosahedron

Long Ridge Length of Great Icosahedron

Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached.

Symbol: l_Ridge(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Ridge Length of Great Icosahedron

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 Icosahedron

Go Surface to Volume Ratio of Great Icosahedron

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot l e}

Go Surface to Volume Ratio of Great Icosahedron given Mid Ridge Length

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{1 + \sqrt{5}}{2 \cdot l Ridge(Mid)}

Go Surface to Volume Ratio of Great Icosahedron given Short Ridge Length

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{10}}{5 \cdot l Ridge(Short)}

Go Surface to Volume Ratio of Great Icosahedron given Circumsphere Radius

R A/V = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5}))} \cdot \frac{\sqrt{50 + (22 \cdot \sqrt{5})}}{4 \cdot r c}

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

Surface to Volume Ratio of Great Icosahedron given Long Ridge Length evaluator uses Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(2)*(5+(3*sqrt(5))))/(10*Long Ridge Length of Great Icosahedron) to evaluate the Surface to Volume Ratio of Great Icosahedron, Surface to Volume Ratio of Great Icosahedron given Long Ridge Length formula is defined as the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great Icosahedron, calculated using long ridge length. Surface to Volume Ratio of Great Icosahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Great Icosahedron given Long Ridge Length

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

The formula of Surface to Volume Ratio of Great Icosahedron given Long Ridge Length is expressed as Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(2)*(5+(3*sqrt(5))))/(10*Long Ridge Length of Great Icosahedron). Here is an example- 0.625577 = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(2)*(5+(3*sqrt(5))))/(10*17).

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

With Long Ridge Length of Great Icosahedron (l_Ridge(Long)) we can find Surface to Volume Ratio of Great Icosahedron given Long Ridge Length using the formula - Surface to Volume Ratio of Great Icosahedron = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(sqrt(2)*(5+(3*sqrt(5))))/(10*Long Ridge Length of Great Icosahedron). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Great Icosahedron=(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*Edge Length of Great Icosahedron)
Surface to Volume Ratio of Great Icosahedron=(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*(1+sqrt(5))/(2*Mid Ridge Length of Great Icosahedron)
Surface to Volume Ratio of Great Icosahedron=(3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5))))*sqrt(10)/(5*Short Ridge Length of Great Icosahedron)

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

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

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

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

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