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Surface to Volume Ratio of Icosahedron Formula

GoSurface to Volume Ratio of Icosahedron given Circumsphere Radius Formula

GoSurface to Volume Ratio of Icosahedron given Insphere Radius Formula

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

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot l e}

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

Surface to Volume Ratio of Icosahedron Example

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

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

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

0.397 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 10}

0.397m⁻¹ = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 10m}

0.397 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 10}

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Surface to Volume Ratio of Icosahedron Solution

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

FIRST Step Consider the formula

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot l e}

Next Step Substitute values of Variables

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 10m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 10}

Next Step Evaluate

∴

R A/V = 0.396950722949765m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.397m⁻¹

Surface to Volume Ratio of Icosahedron Formula Elements

Variables

Functions

Surface to Volume Ratio of Icosahedron

The Surface to Volume Ratio of Icosahedron is the numerical ratio of the total surface area to the volume of the 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 Icosahedron

Edge Length of Icosahedron

Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of 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 Icosahedron

Go Surface to Volume Ratio of Icosahedron given Circumsphere Radius

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot (\frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}})}

Go Surface to Volume Ratio of Icosahedron given Insphere Radius

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot (\frac{12 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})})}

Go Surface to Volume Ratio of Icosahedron given Midsphere Radius

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot (\frac{4 \cdot r m}{1 + \sqrt{5}})}

Go Surface to Volume Ratio of Icosahedron given Space Diagonal

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot (\frac{2 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}})}

How to Evaluate Surface to Volume Ratio of Icosahedron?

Surface to Volume Ratio of Icosahedron evaluator uses Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*Edge Length of Icosahedron) to evaluate the Surface to Volume Ratio of Icosahedron, The Surface to Volume Ratio of Icosahedron formula is defined as the numerical ratio of the total surface area to the volume of the Icosahedron. Surface to Volume Ratio of Icosahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Icosahedron

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

The formula of Surface to Volume Ratio of Icosahedron is expressed as Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*Edge Length of Icosahedron). Here is an example- 0.396951 = (12*sqrt(3))/((3+sqrt(5))*10).

How to calculate Surface to Volume Ratio of Icosahedron?

With Edge Length of Icosahedron (l_e) we can find Surface to Volume Ratio of Icosahedron using the formula - Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*Edge Length of Icosahedron). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Icosahedron=(12*sqrt(3))/((3+sqrt(5))*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))))
Surface to Volume Ratio of Icosahedron=(12*sqrt(3))/((3+sqrt(5))*((12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))))
Surface to Volume Ratio of Icosahedron=(12*sqrt(3))/((3+sqrt(5))*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5))))

Can the Surface to Volume Ratio of Icosahedron be negative?

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

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

Surface to Volume Ratio of 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 Icosahedron can be measured.

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