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Volume of Hexakis Icosahedron given Total Surface Area 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 (\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}})

V - Volume of Hexakis Icosahedron?TSA - Total Surface Area of Hexakis Icosahedron?

Volume of Hexakis Icosahedron given Total Surface Area Example

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

Here is how the Volume of Hexakis Icosahedron given Total Surface Area equation looks like.

13343.4128 = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 2760}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})})}^{\frac{3}{2}})

13343.4128m³ = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 2760m²}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})})}^{\frac{3}{2}})

13343.4128 = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 2760}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})})}^{\frac{3}{2}})

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Volume of Hexakis Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 2760m²}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})})}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 2760}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})})}^{\frac{3}{2}})

Next Step Evaluate

∴

V = 13343.4128349755m³

LAST Step Rounding Answer

∴

V = 13343.4128m³

Volume of Hexakis Icosahedron given Total Surface Area 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

Total Surface Area of Hexakis Icosahedron

Total Surface Area of Hexakis Icosahedron is the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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})

Go Volume of Hexakis Icosahedron given Medium Edge

V = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})}^{3})

How to Evaluate Volume of Hexakis Icosahedron given Total Surface Area?

Volume of Hexakis Icosahedron given Total Surface Area evaluator uses 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)) to evaluate the Volume of Hexakis Icosahedron, Volume of Hexakis Icosahedron given Total Surface Area formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using total surface area of Hexakis Icosahedron. Volume of Hexakis Icosahedron is denoted by V symbol.

How to evaluate Volume of Hexakis Icosahedron given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Hexakis Icosahedron given Total Surface Area, enter Total Surface Area of Hexakis Icosahedron (TSA) and hit the calculate button.

FAQs on Volume of Hexakis Icosahedron given Total Surface Area

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

The formula of Volume of Hexakis Icosahedron given Total Surface Area is expressed as 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)). Here is an example- 13343.41 = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*2760)/(15*(sqrt(10*(417+(107*sqrt(5)))))))^(3/2)).

How to calculate Volume of Hexakis Icosahedron given Total Surface Area?

With Total Surface Area of Hexakis Icosahedron (TSA) we can find Volume of Hexakis Icosahedron given Total Surface Area using the formula - 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)). This formula also uses Square Root (sqrt) 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)))))*(((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5))))))^3)

Can the Volume of Hexakis Icosahedron given Total Surface Area be negative?

No, the Volume of Hexakis Icosahedron given Total Surface Area, measured in Volume cannot be negative.

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

Volume of Hexakis Icosahedron given Total Surface Area 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 Total Surface Area can be measured.

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