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Surface to Volume Ratio of Great Icosahedron Formula

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

GoSurface to Volume Ratio of Great Icosahedron given Long 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 l e}

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

Surface to Volume Ratio of Great Icosahedron Example

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

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

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

0.6423 = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 10}

0.6423m⁻¹ = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 10m}

0.6423 = \frac{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}{\frac{1}{4} \cdot (25 + (9 \cdot \sqrt{5})) \cdot 10}

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Surface to Volume Ratio of Great Icosahedron Solution

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

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 l e}

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 10m}

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 10}

Next Step Evaluate

∴

R A/V = 0.642279761591562m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6423m⁻¹

Surface to Volume Ratio of Great Icosahedron 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

Edge Length of Great Icosahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge 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 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 Long 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{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10 \cdot l Ridge(Long)}

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?

Surface to Volume Ratio of Great Icosahedron evaluator uses 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) to evaluate the Surface to Volume Ratio of Great Icosahedron, Surface to Volume Ratio of Great Icosahedron formula is defined as the numerical ratio of the total surface area of a Great Icosahedron to the volume of the Great Icosahedron. Surface to Volume Ratio of Great Icosahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Great Icosahedron

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

The formula of Surface to Volume Ratio of Great Icosahedron is expressed as 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). Here is an example- 0.64228 = (3*sqrt(3)*(5+(4*sqrt(5))))/(1/4*(25+(9*sqrt(5)))*10).

How to calculate Surface to Volume Ratio of Great Icosahedron?

With Edge Length of Great Icosahedron (l_e) we can find Surface to Volume Ratio of Great Icosahedron using the formula - 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). 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))))*(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(2)*(5+(3*sqrt(5))))/(10*Long 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 be negative?

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

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

Surface to Volume Ratio of Great Icosahedron 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 can be measured.

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