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Surface to Volume Ratio of Icosahedron given Face Perimeter 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{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot P Face}

R_A/V - Surface to Volume Ratio of Icosahedron?P_Face - Face Perimeter of Icosahedron?

Surface to Volume Ratio of Icosahedron given Face Perimeter Example

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

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

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

0.397 = \frac{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 30}

0.397m⁻¹ = \frac{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 30m}

0.397 = \frac{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 30}

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Surface to Volume Ratio of Icosahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

R A/V = \frac{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot P Face}

Next Step Substitute values of Variables

∴

R A/V = \frac{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 30m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 30}

Next Step Evaluate

∴

R A/V = 0.396950722949764m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.397m⁻¹

Surface to Volume Ratio of Icosahedron given Face Perimeter 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 Perimeter of Icosahedron

Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter 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 Perimeter?

Surface to Volume Ratio of Icosahedron given Face Perimeter evaluator uses Surface to Volume Ratio of Icosahedron = (36*sqrt(3))/((3+sqrt(5))*Face Perimeter of Icosahedron) to evaluate the Surface to Volume Ratio of Icosahedron, The Surface to Volume Ratio of Icosahedron given Face Perimeter formula is defined as the numerical ratio of the total surface area to the volume of the Icosahedron and is calculated using the face perimeter 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 Perimeter using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Icosahedron given Face Perimeter, enter Face Perimeter of Icosahedron (P_Face) and hit the calculate button.

FAQs on Surface to Volume Ratio of Icosahedron given Face Perimeter

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

The formula of Surface to Volume Ratio of Icosahedron given Face Perimeter is expressed as Surface to Volume Ratio of Icosahedron = (36*sqrt(3))/((3+sqrt(5))*Face Perimeter of Icosahedron). Here is an example- 0.396951 = (36*sqrt(3))/((3+sqrt(5))*30).

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

With Face Perimeter of Icosahedron (P_Face) we can find Surface to Volume Ratio of Icosahedron given Face Perimeter using the formula - Surface to Volume Ratio of Icosahedron = (36*sqrt(3))/((3+sqrt(5))*Face Perimeter 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))*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 Perimeter be negative?

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

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

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

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