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Volume of Hexakis Icosahedron given Midsphere Radius 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{8 \cdot r m}{5 + 3 \cdot \sqrt{5}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

V - Volume of Hexakis Icosahedron?r_m - Midsphere Radius of Hexakis Icosahedron?

Volume of Hexakis Icosahedron given Midsphere Radius Example

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Here is how the Volume of Hexakis Icosahedron given Midsphere Radius equation looks like.

14379.3968 = \frac{25}{88} \cdot {(\frac{8 \cdot 15}{5 + 3 \cdot \sqrt{5}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

14379.3968m³ = \frac{25}{88} \cdot {(\frac{8 \cdot 15m}{5 + 3 \cdot \sqrt{5}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

14379.3968 = \frac{25}{88} \cdot {(\frac{8 \cdot 15}{5 + 3 \cdot \sqrt{5}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

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Volume of Hexakis Icosahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Volume of Hexakis Icosahedron given Midsphere Radius?

FIRST Step Consider the formula

V = \frac{25}{88} \cdot {(\frac{8 \cdot r m}{5 + 3 \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{8 \cdot 15m}{5 + 3 \cdot \sqrt{5}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

V = \frac{25}{88} \cdot {(\frac{8 \cdot 15}{5 + 3 \cdot \sqrt{5}})}^{3} \cdot \sqrt{6 \cdot (185 + 82 \cdot \sqrt{5})}

Next Step Evaluate

∴

V = 14379.396757825m³

LAST Step Rounding Answer

∴

V = 14379.3968m³

Volume of Hexakis Icosahedron given Midsphere Radius 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

Midsphere Radius of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 Midsphere Radius?

Volume of Hexakis Icosahedron given Midsphere Radius evaluator uses Volume of Hexakis Icosahedron = 25/88*((8*Midsphere Radius of Hexakis Icosahedron)/(5+3*sqrt(5)))^3*sqrt(6*(185+82*sqrt(5))) to evaluate the Volume of Hexakis Icosahedron, The Volume of Hexakis Icosahedron given Midsphere Radius formula is defined as the amount of three dimensional space covered by closed surface of Hexakis Icosahedron, calculated using midsphere radius of Hexakis Icosahedron. Volume of Hexakis Icosahedron is denoted by V symbol.

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

FAQs on Volume of Hexakis Icosahedron given Midsphere Radius

What is the formula to find Volume of Hexakis Icosahedron given Midsphere Radius?

The formula of Volume of Hexakis Icosahedron given Midsphere Radius is expressed as Volume of Hexakis Icosahedron = 25/88*((8*Midsphere Radius of Hexakis Icosahedron)/(5+3*sqrt(5)))^3*sqrt(6*(185+82*sqrt(5))). Here is an example- 14379.4 = 25/88*((8*15)/(5+3*sqrt(5)))^3*sqrt(6*(185+82*sqrt(5))).

How to calculate Volume of Hexakis Icosahedron given Midsphere Radius?

With Midsphere Radius of Hexakis Icosahedron (r_m) we can find Volume of Hexakis Icosahedron given Midsphere Radius using the formula - Volume of Hexakis Icosahedron = 25/88*((8*Midsphere Radius of Hexakis Icosahedron)/(5+3*sqrt(5)))^3*sqrt(6*(185+82*sqrt(5))). 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)))))*(((44*Total Surface Area of Hexakis Icosahedron)/(15*(sqrt(10*(417+(107*sqrt(5)))))))^(3/2))

Can the Volume of Hexakis Icosahedron given Midsphere Radius be negative?

No, the Volume of Hexakis Icosahedron given Midsphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hexakis Icosahedron given Midsphere Radius?

Volume of Hexakis Icosahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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