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Volume of Triakis Icosahedron given Total Surface Area 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{11 \cdot TSA}{15 \cdot \sqrt{109 - (30 \cdot \sqrt{5})}})}^{\frac{3}{2}})

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

Volume of Triakis Icosahedron given Total Surface Area Example

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

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

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

1217.4574 = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{11 \cdot 570}{15 \cdot \sqrt{109 - (30 \cdot \sqrt{5})}})}^{\frac{3}{2}})

1217.4574m³ = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{11 \cdot 570m²}{15 \cdot \sqrt{109 - (30 \cdot \sqrt{5})}})}^{\frac{3}{2}})

1217.4574 = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{11 \cdot 570}{15 \cdot \sqrt{109 - (30 \cdot \sqrt{5})}})}^{\frac{3}{2}})

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Volume of Triakis Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{11 \cdot 570m²}{15 \cdot \sqrt{109 - (30 \cdot \sqrt{5})}})}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{11 \cdot 570}{15 \cdot \sqrt{109 - (30 \cdot \sqrt{5})}})}^{\frac{3}{2}})

Next Step Evaluate

∴

V = 1217.45737239408m³

LAST Step Rounding Answer

∴

V = 1217.4574m³

Volume of Triakis Icosahedron given Total Surface Area 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

Total Surface Area of Triakis Icosahedron

The Total Surface Area of Triakis Icosahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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 Total Surface Area?

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

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

FAQs on Volume of Triakis Icosahedron given Total Surface Area

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

The formula of Volume of Triakis Icosahedron given Total Surface Area is expressed as 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)). Here is an example- 1217.457 = (5/44)*(5+(7*sqrt(5)))*(((11*570)/(15*sqrt(109-(30*sqrt(5)))))^(3/2)).

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

With Total Surface Area of Triakis Icosahedron (TSA) we can find Volume of Triakis Icosahedron given Total Surface Area using the formula - 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)). 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)))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^3)
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 Total Surface Area be negative?

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

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

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

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