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Surface to Volume Ratio of Icosahedron given Face Area Formula

GoSurface to Volume Ratio of Icosahedron Formula

GoSurface to Volume Ratio of Icosahedron given Circumsphere 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 \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}}

R_A/V - Surface to Volume Ratio of Icosahedron?A_Face - Face Area of Icosahedron?

Surface to Volume Ratio of Icosahedron given Face Area Example

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

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

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

0.3894 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}}

0.3894m⁻¹ = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}}

0.3894 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}}

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Surface to Volume Ratio of Icosahedron given Face Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}}

Next Step Evaluate

∴

R A/V = 0.389386291885021m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.3894m⁻¹

Surface to Volume Ratio of Icosahedron given Face Area 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

Face Area of Icosahedron

The Face Area of Icosahedron is the amount of space occupied by any one of the 12 faces of Icosahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area 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

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

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}})}

How to Evaluate Surface to Volume Ratio of Icosahedron given Face Area?

Surface to Volume Ratio of Icosahedron given Face Area evaluator uses Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*sqrt((4*Face Area of Icosahedron)/sqrt(3))) to evaluate the Surface to Volume Ratio of Icosahedron, The Surface to Volume Ratio of Icosahedron given Face Area formula is defined as the numerical ratio of the total surface area to the volume of the Icosahedron and is calculated using the face area 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 given Face Area using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Icosahedron given Face Area, enter Face Area of Icosahedron (A_Face) and hit the calculate button.

FAQs on Surface to Volume Ratio of Icosahedron given Face Area

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

The formula of Surface to Volume Ratio of Icosahedron given Face Area is expressed as Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*sqrt((4*Face Area of Icosahedron)/sqrt(3))). Here is an example- 0.389386 = (12*sqrt(3))/((3+sqrt(5))*sqrt((4*45)/sqrt(3))).

How to calculate Surface to Volume Ratio of Icosahedron given Face Area?

With Face Area of Icosahedron (A_Face) we can find Surface to Volume Ratio of Icosahedron given Face Area using the formula - Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*sqrt((4*Face Area of Icosahedron)/sqrt(3))). 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))*Edge Length 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)))))

Can the Surface to Volume Ratio of Icosahedron given Face Area be negative?

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

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

Surface to Volume Ratio of Icosahedron given Face Area 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 given Face Area can be measured.

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