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Volume of Triakis Icosahedron given Surface to Volume Ratio 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{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot R A/V})}^{3})

V - Volume of Triakis Icosahedron?R_A/V - Surface to Volume Ratio of Triakis Icosahedron?

Volume of Triakis Icosahedron given Surface to Volume Ratio Example

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

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

Here is how the Volume of Triakis Icosahedron given Surface to Volume Ratio equation looks like.

999.5558 = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5})}^{3})

999.5558m³ = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5m⁻¹})}^{3})

999.5558 = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5})}^{3})

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Volume of Triakis Icosahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot R A/V})}^{3})

Next Step Substitute values of Variables

∴

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5m⁻¹})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{5}{44}) \cdot (5 + (7 \cdot \sqrt{5})) \cdot ({(\frac{12 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}{(5 + (7 \cdot \sqrt{5})) \cdot 0.5})}^{3})

Next Step Evaluate

∴

V = 999.555760014357m³

LAST Step Rounding Answer

∴

V = 999.5558m³

Volume of Triakis Icosahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Triakis Icosahedron

Surface to Volume Ratio of Triakis Icosahedron is what part of or fraction of total volume of Triakis Icosahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Volume of Triakis Icosahedron given Surface to Volume Ratio evaluator uses Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron))^3) to evaluate the Volume of Triakis Icosahedron, Volume of Triakis Icosahedron given Surface to Volume Ratio formula is defined as quantity of three dimensional space covered by closed surface of Triakis Icosahedron, calculated using surafce to volume ratio of Triakis Icosahedron. Volume of Triakis Icosahedron is denoted by V symbol.

How to evaluate Volume of Triakis Icosahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Triakis Icosahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Triakis Icosahedron (R_A/V) and hit the calculate button.

FAQs on Volume of Triakis Icosahedron given Surface to Volume Ratio

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

The formula of Volume of Triakis Icosahedron given Surface to Volume Ratio is expressed as Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron))^3). Here is an example- 999.5558 = (5/44)*(5+(7*sqrt(5)))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*0.5))^3).

How to calculate Volume of Triakis Icosahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Triakis Icosahedron (R_A/V) we can find Volume of Triakis Icosahedron given Surface to Volume Ratio using the formula - Volume of Triakis Icosahedron = (5/44)*(5+(7*sqrt(5)))*(((12*(sqrt(109-(30*sqrt(5)))))/((5+(7*sqrt(5)))*Surface to Volume Ratio of Triakis Icosahedron))^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)))*(((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 Surface to Volume Ratio be negative?

No, the Volume of Triakis Icosahedron given Surface to Volume Ratio, measured in Volume cannot be negative.

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

Volume of Triakis Icosahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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