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Volume of Triakis Icosahedron given Pyramidal Edge Length Formula

GoVolume of Triakis Icosahedron Formula

GoVolume of Triakis Icosahedron given Total Surface Area 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{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})}^{3})

V - Volume of Triakis Icosahedron?l_e(Pyramid) - Pyramidal Edge Length of Triakis Icosahedron?

Volume of Triakis Icosahedron given Pyramidal Edge Length Example

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Here is how the Volume of Triakis Icosahedron given Pyramidal Edge Length equation looks like with Values.

Here is how the Volume of Triakis Icosahedron given Pyramidal Edge Length equation looks like with Units.

Here is how the Volume of Triakis Icosahedron given Pyramidal Edge Length equation looks like.

1502.1526 = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{22 \cdot 5}{15 - \sqrt{5}})}^{3})

1502.1526m³ = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{22 \cdot 5m}{15 - \sqrt{5}})}^{3})

1502.1526 = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{22 \cdot 5}{15 - \sqrt{5}})}^{3})

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Volume of Triakis Icosahedron given Pyramidal Edge Length Solution

Follow our step by step solution on how to calculate Volume of Triakis Icosahedron given Pyramidal Edge Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 1502.15261585929m³

LAST Step Rounding Answer

∴

V = 1502.1526m³

Volume of Triakis Icosahedron given Pyramidal Edge Length 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

Pyramidal Edge Length of Triakis Icosahedron

Pyramidal Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Icosahedron.

Symbol: l_e(Pyramid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Edge Length 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 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})

Go Volume of Triakis Icosahedron given Insphere Radius

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})

How to Evaluate Volume of Triakis Icosahedron given Pyramidal Edge Length?

Volume of Triakis Icosahedron given Pyramidal Edge Length evaluator uses Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^3) to evaluate the Volume of Triakis Icosahedron, Volume of Triakis Icosahedron given Pyramidal Edge Length formula is defined as quantity of three dimensional space covered by closed surface of Triakis Icosahedron, calculated using pyramidal edge length of Triakis Icosahedron. Volume of Triakis Icosahedron is denoted by V symbol.

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

FAQs on Volume of Triakis Icosahedron given Pyramidal Edge Length

What is the formula to find Volume of Triakis Icosahedron given Pyramidal Edge Length?

The formula of Volume of Triakis Icosahedron given Pyramidal Edge Length is expressed as Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^3). Here is an example- 1502.153 = (5/44)*(5+(7*sqrt(5)))*(((22*5)/(15-sqrt(5)))^3).

How to calculate Volume of Triakis Icosahedron given Pyramidal Edge Length?

With Pyramidal Edge Length of Triakis Icosahedron (l_e(Pyramid)) we can find Volume of Triakis Icosahedron given Pyramidal Edge Length using the formula - Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^3). This formula also uses Square Root (sqrt) 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)))*(((11*Total Surface Area of Triakis Icosahedron)/(15*sqrt(109-(30*sqrt(5)))))^(3/2))
Volume of Triakis Icosahedron=(5/44)*(5+(7*sqrt(5)))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^3)

Can the Volume of Triakis Icosahedron given Pyramidal Edge Length be negative?

No, the Volume of Triakis Icosahedron given Pyramidal Edge Length, measured in Volume cannot be negative.

Which unit is used to measure Volume of Triakis Icosahedron given Pyramidal Edge Length?

Volume of Triakis Icosahedron given Pyramidal Edge Length 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 Pyramidal Edge Length can be measured.

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