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Surface to Volume Ratio of Icosahedron given Space Diagonal 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{2 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}})}

R_A/V - Surface to Volume Ratio of Icosahedron?d_Space - Space Diagonal of Icosahedron?

Surface to Volume Ratio of Icosahedron given Space Diagonal Example

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

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

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

0.3974 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot (\frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}})}

0.3974m⁻¹ = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot (\frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}})}

0.3974 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot (\frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}})}

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Surface to Volume Ratio of Icosahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot (\frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}})}

Next Step Prepare to Evaluate

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot (\frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}})}

Next Step Evaluate

∴

R A/V = 0.397392180746785m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.3974m⁻¹

Surface to Volume Ratio of Icosahedron given Space Diagonal 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

Space Diagonal of Icosahedron

The Space Diagonal of Icosahedron is the line connecting two vertices that are not on the same face of Icosahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal 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 Space Diagonal?

Surface to Volume Ratio of Icosahedron given Space Diagonal evaluator uses Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))) to evaluate the Surface to Volume Ratio of Icosahedron, The Surface to Volume Ratio of Icosahedron given Space Diagonal formula is defined as the numerical ratio of the total surface area to the volume of the Icosahedron and is calculated using the space diagonal 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 Space Diagonal using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Icosahedron given Space Diagonal, enter Space Diagonal of Icosahedron (d_Space) and hit the calculate button.

FAQs on Surface to Volume Ratio of Icosahedron given Space Diagonal

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

The formula of Surface to Volume Ratio of Icosahedron given Space Diagonal is expressed as Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))). Here is an example- 0.397392 = (12*sqrt(3))/((3+sqrt(5))*((2*19)/(sqrt(10+(2*sqrt(5)))))).

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

With Space Diagonal of Icosahedron (d_Space) we can find Surface to Volume Ratio of Icosahedron given Space Diagonal using the formula - Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))). 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 Space Diagonal be negative?

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

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

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

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