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Surface to Volume Ratio of Icosahedron given Volume 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 {(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}}

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

Surface to Volume Ratio of Icosahedron given Volume Example

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

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

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

0.3958 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot {(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}}

0.3958m⁻¹ = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot {(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}}

0.3958 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot {(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}}

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Surface to Volume Ratio of Icosahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot {(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot {(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}}

Next Step Evaluate

∴

R A/V = 0.395846717942302m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.3958m⁻¹

Surface to Volume Ratio of Icosahedron given Volume 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

Volume of Icosahedron

Volume of Icosahedron is the total quantity of three dimensional space enclosed by the surface of the Icosahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

Surface to Volume Ratio of Icosahedron given Volume evaluator uses Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)) to evaluate the Surface to Volume Ratio of Icosahedron, The Surface to Volume Ratio of Icosahedron given Volume formula is defined as the numerical ratio of the total surface area to the volume of the Icosahedron and is calculated using 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 given Volume using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Icosahedron given Volume, enter Volume of Icosahedron (V) and hit the calculate button.

FAQs on Surface to Volume Ratio of Icosahedron given Volume

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

The formula of Surface to Volume Ratio of Icosahedron given Volume is expressed as Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)). Here is an example- 0.395847 = (12*sqrt(3))/((3+sqrt(5))*((12*2200)/(5*(3+sqrt(5))))^(1/3)).

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

With Volume of Icosahedron (V) we can find Surface to Volume Ratio of Icosahedron given Volume using the formula - Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)). 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 Volume be negative?

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

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

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

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