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Volume of Hexakis Icosahedron given Short Edge Formula

GoVolume of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula

GoVolume of Hexakis Icosahedron given Total Surface Area 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 l e(Short)}{5 \cdot (7 - \sqrt{5})})}^{3})

V - Volume of Hexakis Icosahedron?l_e(Short) - Short Edge of Hexakis Icosahedron?

Volume of Hexakis Icosahedron given Short Edge Example

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Here is how the Volume of Hexakis Icosahedron given Short Edge equation looks like with Values.

Here is how the Volume of Hexakis Icosahedron given Short Edge equation looks like with Units.

Here is how the Volume of Hexakis Icosahedron given Short Edge equation looks like.

10522.7469 = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 5}{5 \cdot (7 - \sqrt{5})})}^{3})

10522.7469m³ = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 5m}{5 \cdot (7 - \sqrt{5})})}^{3})

10522.7469 = (\frac{25}{88}) \cdot (\sqrt{6 \cdot (185 + (82 \cdot \sqrt{5}))}) \cdot ({(\frac{44 \cdot 5}{5 \cdot (7 - \sqrt{5})})}^{3})

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Volume of Hexakis Icosahedron given Short Edge Solution

Follow our step by step solution on how to calculate Volume of Hexakis Icosahedron given Short Edge?

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 10522.746930006m³

LAST Step Rounding Answer

∴

V = 10522.7469m³

Volume of Hexakis Icosahedron given Short Edge 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

Short Edge of Hexakis Icosahedron

Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge 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 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})

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 Short Edge?

Volume of Hexakis Icosahedron given Short Edge evaluator uses Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^3) to evaluate the Volume of Hexakis Icosahedron, Volume of Hexakis Icosahedron given Short Edge formula is defined as an amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using short edge of Hexakis Icosahedron. Volume of Hexakis Icosahedron is denoted by V symbol.

How to evaluate Volume of Hexakis Icosahedron given Short Edge using this online evaluator? To use this online evaluator for Volume of Hexakis Icosahedron given Short Edge, enter Short Edge of Hexakis Icosahedron (l_e(Short)) and hit the calculate button.

FAQs on Volume of Hexakis Icosahedron given Short Edge

What is the formula to find Volume of Hexakis Icosahedron given Short Edge?

The formula of Volume of Hexakis Icosahedron given Short Edge is expressed as Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^3). Here is an example- 10522.75 = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*5)/(5*(7-sqrt(5))))^3).

How to calculate Volume of Hexakis Icosahedron given Short Edge?

With Short Edge of Hexakis Icosahedron (l_e(Short)) we can find Volume of Hexakis Icosahedron given Short Edge using the formula - Volume of Hexakis Icosahedron = (25/88)*(sqrt(6*(185+(82*sqrt(5)))))*(((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))^3). 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)))))*(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))
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 Short Edge be negative?

No, the Volume of Hexakis Icosahedron given Short Edge, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hexakis Icosahedron given Short Edge?

Volume of Hexakis Icosahedron given Short Edge 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 Short Edge can be measured.

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