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Surface to Volume Ratio of Icosahedron given Lateral Surface 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{2 \cdot LSA}{9 \cdot \sqrt{3}}}}

R_A/V - Surface to Volume Ratio of Icosahedron?LSA - Lateral Surface Area of Icosahedron?

Surface to Volume Ratio of Icosahedron given Lateral Surface Area Example

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

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

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

0.3968 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}}

0.3968m⁻¹ = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 780m²}{9 \cdot \sqrt{3}}}}

0.3968 = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}}

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Surface to Volume Ratio of Icosahedron given Lateral Surface Area Solution

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

FIRST Step Consider the formula

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot LSA}{9 \cdot \sqrt{3}}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 780m²}{9 \cdot \sqrt{3}}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 780}{9 \cdot \sqrt{3}}}}

Next Step Evaluate

∴

R A/V = 0.396803840140921m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.3968m⁻¹

Surface to Volume Ratio of Icosahedron given Lateral Surface 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

Lateral Surface Area of Icosahedron

Lateral Surface Area of Icosahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Icosahedron.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface 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 Lateral Surface Area?

Surface to Volume Ratio of Icosahedron given Lateral Surface Area evaluator uses Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3)))) to evaluate the Surface to Volume Ratio of Icosahedron, The Surface to Volume Ratio of Icosahedron given Lateral Surface Area formula is defined as the numerical ratio of the total surface area to the volume of the Icosahedron and is calculated using the lateral surface 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 Lateral Surface Area using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Icosahedron given Lateral Surface Area, enter Lateral Surface Area of Icosahedron (LSA) and hit the calculate button.

FAQs on Surface to Volume Ratio of Icosahedron given Lateral Surface Area

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

The formula of Surface to Volume Ratio of Icosahedron given Lateral Surface Area is expressed as Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*sqrt((2*Lateral Surface Area of Icosahedron)/(9*sqrt(3)))). Here is an example- 0.396804 = (12*sqrt(3))/((3+sqrt(5))*sqrt((2*780)/(9*sqrt(3)))).

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

With Lateral Surface Area of Icosahedron (LSA) we can find Surface to Volume Ratio of Icosahedron given Lateral Surface Area using the formula - Surface to Volume Ratio of Icosahedron = (12*sqrt(3))/((3+sqrt(5))*sqrt((2*Lateral Surface Area of Icosahedron)/(9*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 Lateral Surface Area be negative?

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

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

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

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