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Volume of Triakis Icosahedron given Insphere Radius Formula

GoVolume of Triakis Icosahedron Formula

GoVolume of Triakis Icosahedron given Pyramidal Edge Length Formula

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

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r i}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{3})

V - Volume of Triakis Icosahedron?r_i - Insphere Radius of Triakis Icosahedron?

Volume of Triakis Icosahedron given Insphere Radius Example

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Here is how the Volume of Triakis Icosahedron given Insphere Radius equation looks like with Values.

Here is how the Volume of Triakis Icosahedron given Insphere Radius equation looks like with Units.

Here is how the Volume of Triakis Icosahedron given Insphere Radius equation looks like.

999.5558 = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{3})

999.5558m³ = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{3})

999.5558 = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{3})

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Volume of Triakis Icosahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Volume of Triakis Icosahedron given Insphere Radius?

FIRST Step Consider the formula

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r i}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{3})

Next Step Substitute values of Variables

∴

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{3})

Next Step Evaluate

∴

V = 999.555760014357m³

LAST Step Rounding Answer

∴

V = 999.5558m³

Volume of Triakis Icosahedron given Insphere Radius Formula Elements

Variables

Functions

Volume of Triakis Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Triakis 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 Triakis Icosahedron

Go Volume of Triakis Icosahedron

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(l e(Icosahedron))}^{3})

Go Volume of Triakis Icosahedron given Pyramidal Edge Length

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})}^{3})

Go Volume of Triakis Icosahedron given Total Surface Area

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{11 \cdot TSA}{15 \cdot \sqrt{109 - (30 \cdot \sqrt{5})}})}^{\frac{3}{2}})

Go Volume of Triakis Icosahedron given Midsphere Radius

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r m}{1 + \sqrt{5}})}^{3})

How to Evaluate Volume of Triakis Icosahedron given Insphere Radius?

Volume of Triakis Icosahedron given Insphere Radius evaluator uses Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)))^3) to evaluate the Volume of Triakis Icosahedron, Volume of Triakis Icosahedron given Insphere Radius formula is defined as quantity of three dimensional space covered by closed surface of Triakis Icosahedron, calculated using insphere radius of Triakis Icosahedron. Volume of Triakis Icosahedron is denoted by V symbol.

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

FAQs on Volume of Triakis Icosahedron given Insphere Radius

What is the formula to find Volume of Triakis Icosahedron given Insphere Radius?

The formula of Volume of Triakis Icosahedron given Insphere Radius is expressed as Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)))^3). Here is an example- 999.5558 = (5/44)*(5+(7*sqrt(5)))*(((4*6)/(sqrt((10*(33+(13*sqrt(5))))/61)))^3).

How to calculate Volume of Triakis Icosahedron given Insphere Radius?

With Insphere Radius of Triakis Icosahedron (r_i) we can find Volume of Triakis Icosahedron given Insphere Radius using the formula - Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)))^3). This formula also uses Square Root Function function(s).

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

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

Volume of Triakis Icosahedron=(5/44)*(5+(7*sqrt(5)))*((Icosahedral Edge Length of Triakis Icosahedron)^3)
Volume of Triakis Icosahedron=(5/44)*(5+(7*sqrt(5)))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^3)
Volume of Triakis Icosahedron=(5/44)*(5+(7*sqrt(5)))*(((11*Total Surface Area of Triakis Icosahedron)/(15*sqrt(109-(30*sqrt(5)))))^(3/2))

Can the Volume of Triakis Icosahedron given Insphere Radius be negative?

No, the Volume of Triakis Icosahedron given Insphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Triakis Icosahedron given Insphere Radius?

Volume of Triakis Icosahedron given Insphere 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 Triakis Icosahedron given Insphere Radius can be measured.

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