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Surface to Volume Ratio of Icosahedron given 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{360 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot P}

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

Surface to Volume Ratio of Icosahedron given Perimeter Example

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

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

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

0.397 = \frac{360 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 300}

0.397m⁻¹ = \frac{360 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 300m}

0.397 = \frac{360 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 300}

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Surface to Volume Ratio of Icosahedron given Perimeter Solution

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

FIRST Step Consider the formula

R A/V = \frac{360 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot P}

Next Step Substitute values of Variables

∴

R A/V = \frac{360 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 300m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{360 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot 300}

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 given 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

Perimeter of Icosahedron

Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 Perimeter?

Surface to Volume Ratio of Icosahedron given Perimeter evaluator uses Surface to Volume Ratio of Icosahedron = (360*sqrt(3))/((3+sqrt(5))*Perimeter of Icosahedron) to evaluate the Surface to Volume Ratio of Icosahedron, The Surface to Volume Ratio of Icosahedron given Perimeter formula is defined as the numerical ratio of the total surface area to the volume of the Icosahedron and is calculated using the 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 Perimeter using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Icosahedron given Perimeter, enter Perimeter of Icosahedron (P) and hit the calculate button.

FAQs on Surface to Volume Ratio of Icosahedron given Perimeter

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

The formula of Surface to Volume Ratio of Icosahedron given Perimeter is expressed as Surface to Volume Ratio of Icosahedron = (360*sqrt(3))/((3+sqrt(5))*Perimeter of Icosahedron). Here is an example- 0.396951 = (360*sqrt(3))/((3+sqrt(5))*300).

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

With Perimeter of Icosahedron (P) we can find Surface to Volume Ratio of Icosahedron given Perimeter using the formula - Surface to Volume Ratio of Icosahedron = (360*sqrt(3))/((3+sqrt(5))*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 Perimeter be negative?

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

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

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

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