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Volume of Hexakis Icosahedron given Surface to Volume Ratio Formula

GoVolume of Hexakis Icosahedron given Short Edge Formula

GoVolume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula

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Volume of Hexakis Icosahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Icosahedron . Check FAQs

V = \frac{25}{88} \cdot {(\frac{6}{5} \cdot \frac{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}{R A/V \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

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

Volume of Hexakis Icosahedron given Surface to Volume Ratio Example

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

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

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

14760.5797 = \frac{25}{88} \cdot {(\frac{6}{5} \cdot \frac{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}{0.2 \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

14760.5797m³ = \frac{25}{88} \cdot {(\frac{6}{5} \cdot \frac{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}{0.2m⁻¹ \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

14760.5797 = \frac{25}{88} \cdot {(\frac{6}{5} \cdot \frac{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}{0.2 \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

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Volume of Hexakis Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = \frac{25}{88} \cdot {(\frac{6}{5} \cdot \frac{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}{R A/V \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

Next Step Substitute values of Variables

∴

V = \frac{25}{88} \cdot {(\frac{6}{5} \cdot \frac{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}{0.2m⁻¹ \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

V = \frac{25}{88} \cdot {(\frac{6}{5} \cdot \frac{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}{0.2 \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

Next Step Evaluate

∴

V = 14760.5796715756m³

LAST Step Rounding Answer

∴

V = 14760.5797m³

Volume of Hexakis Icosahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Hexakis Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hexakis Icosahedron

Surface to Volume Ratio of Hexakis Icosahedron

Surface to Volume Ratio of Hexakis Icosahedron is what part of or fraction of total volume of Hexakis Icosahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Hexakis 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 Volume of Hexakis Icosahedron

Go Volume of Hexakis Icosahedron given Short Edge

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})}^{3})

Go Volume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot (\frac{8}{125}) \cdot ({l e(Truncated Icosidodecahedron)}^{3}) \cdot ({(\sqrt{15 \cdot (5 - \sqrt{5})})}^{3})

Go Volume of Hexakis Icosahedron given Total Surface Area

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot TSA}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})})}^{\frac{3}{2}})

Go Volume of Hexakis Icosahedron given Insphere Radius

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{4 \cdot r i}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})}^{3})

How to Evaluate Volume of Hexakis Icosahedron given Surface to Volume Ratio?

Volume of Hexakis Icosahedron given Surface to Volume Ratio evaluator uses Volume of Hexakis Icosahedron = 25/88*(6/5*sqrt(10*(417+107*sqrt(5)))/(Surface to Volume Ratio of Hexakis Icosahedron*sqrt(6*(185+82*sqrt(5)))))^3*sqrt(6*(185+82*sqrt(5))) to evaluate the Volume of Hexakis Icosahedron, The Volume of Hexakis Icosahedron given Surface to Volume Ratio formula is defined as the amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using surface to volume ratio of Hexakis Icosahedron. Volume of Hexakis Icosahedron is denoted by V symbol.

How to evaluate Volume of Hexakis Icosahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Hexakis Icosahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Hexakis Icosahedron (R_A/V) and hit the calculate button.

FAQs on Volume of Hexakis Icosahedron given Surface to Volume Ratio

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

The formula of Volume of Hexakis Icosahedron given Surface to Volume Ratio is expressed as Volume of Hexakis Icosahedron = 25/88*(6/5*sqrt(10*(417+107*sqrt(5)))/(Surface to Volume Ratio of Hexakis Icosahedron*sqrt(6*(185+82*sqrt(5)))))^3*sqrt(6*(185+82*sqrt(5))). Here is an example- 14760.58 = 25/88*(6/5*sqrt(10*(417+107*sqrt(5)))/(0.2*sqrt(6*(185+82*sqrt(5)))))^3*sqrt(6*(185+82*sqrt(5))).

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

With Surface to Volume Ratio of Hexakis Icosahedron (R_A/V) we can find Volume of Hexakis Icosahedron given Surface to Volume Ratio using the formula - Volume of Hexakis Icosahedron = 25/88*(6/5*sqrt(10*(417+107*sqrt(5)))/(Surface to Volume Ratio of Hexakis Icosahedron*sqrt(6*(185+82*sqrt(5)))))^3*sqrt(6*(185+82*sqrt(5))). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Volume of Hexakis Icosahedron?

Here are the different ways to Calculate Volume of Hexakis Icosahedron-

Volume of Hexakis Icosahedron=(25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^3)
Volume of Hexakis Icosahedron=(25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(8/125)*(Truncated Edge of Hexakis Icosahedron^3)*((sqrt(15*(5-sqrt(5))))^3)
Volume of Hexakis Icosahedron=(25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5)))))))^(3/2))

Can the Volume of Hexakis Icosahedron given Surface to Volume Ratio be negative?

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

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

Volume of Hexakis Icosahedron given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Hexakis Icosahedron given Surface to Volume Ratio can be measured.

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