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Volume of Triakis Tetrahedron given Insphere Radius Formula

GoVolume of Triakis Tetrahedron given Total Surface Area Formula

GoVolume of Triakis Tetrahedron given Pyramidal Edge Length Formula

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

V = (\frac{3}{20}) \cdot \sqrt{2} \cdot {(\frac{4 \cdot r i \cdot \sqrt{11}}{3 \cdot \sqrt{2}})}^{3}

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

Volume of Triakis Tetrahedron given Insphere Radius Example

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

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

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

810.7305 = (\frac{3}{20}) \cdot \sqrt{2} \cdot {(\frac{4 \cdot 5 \cdot \sqrt{11}}{3 \cdot \sqrt{2}})}^{3}

810.7305m³ = (\frac{3}{20}) \cdot \sqrt{2} \cdot {(\frac{4 \cdot 5m \cdot \sqrt{11}}{3 \cdot \sqrt{2}})}^{3}

810.7305 = (\frac{3}{20}) \cdot \sqrt{2} \cdot {(\frac{4 \cdot 5 \cdot \sqrt{11}}{3 \cdot \sqrt{2}})}^{3}

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Volume of Triakis Tetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

V = (\frac{3}{20}) \cdot \sqrt{2} \cdot {(\frac{4 \cdot r i \cdot \sqrt{11}}{3 \cdot \sqrt{2}})}^{3}

Next Step Substitute values of Variables

∴

V = (\frac{3}{20}) \cdot \sqrt{2} \cdot {(\frac{4 \cdot 5m \cdot \sqrt{11}}{3 \cdot \sqrt{2}})}^{3}

Next Step Prepare to Evaluate

∴

V = (\frac{3}{20}) \cdot \sqrt{2} \cdot {(\frac{4 \cdot 5 \cdot \sqrt{11}}{3 \cdot \sqrt{2}})}^{3}

Next Step Evaluate

∴

V = 810.730504309097m³

LAST Step Rounding Answer

∴

V = 810.7305m³

Volume of Triakis Tetrahedron given Insphere Radius Formula Elements

Variables

Functions

Volume of Triakis Tetrahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Triakis Tetrahedron

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 Tetrahedron

Go Volume of Triakis Tetrahedron given Total Surface Area

V = (\frac{3}{20}) \cdot \sqrt{2} \cdot {((\frac{5}{3}) \cdot (\frac{TSA}{\sqrt{11}}))}^{\frac{3}{2}}

Go Volume of Triakis Tetrahedron given Pyramidal Edge Length

V = (\frac{3}{20}) \cdot \sqrt{2} \cdot {((\frac{5}{3}) \cdot (l e(Pyramid)))}^{3}

Go Volume of Triakis Tetrahedron

V = (\frac{3}{20}) \cdot ({(l e(Tetrahedron))}^{3}) \cdot \sqrt{2}

Go Volume of Triakis Tetrahedron given Height

V = (\frac{3}{20}) \cdot \sqrt{2} \cdot {((\frac{5}{3}) \cdot (\frac{h}{\sqrt{6}}))}^{3}

How to Evaluate Volume of Triakis Tetrahedron given Insphere Radius?

Volume of Triakis Tetrahedron given Insphere Radius evaluator uses Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Insphere Radius of Triakis Tetrahedron*sqrt(11))/(3*sqrt(2)))^3 to evaluate the Volume of Triakis Tetrahedron, Volume of Triakis Tetrahedron given Insphere Radius formula is defined as the quantity of three-dimensional space enclosed by the entire surface of Triakis Tetrahedron, and calculated using the insphere radius of Triakis Tetrahedron. Volume of Triakis Tetrahedron is denoted by V symbol.

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

FAQs on Volume of Triakis Tetrahedron given Insphere Radius

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

The formula of Volume of Triakis Tetrahedron given Insphere Radius is expressed as Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Insphere Radius of Triakis Tetrahedron*sqrt(11))/(3*sqrt(2)))^3. Here is an example- 810.7305 = (3/20)*sqrt(2)*((4*5*sqrt(11))/(3*sqrt(2)))^3.

How to calculate Volume of Triakis Tetrahedron given Insphere Radius?

With Insphere Radius of Triakis Tetrahedron (r_i) we can find Volume of Triakis Tetrahedron given Insphere Radius using the formula - Volume of Triakis Tetrahedron = (3/20)*sqrt(2)*((4*Insphere Radius of Triakis Tetrahedron*sqrt(11))/(3*sqrt(2)))^3. This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Triakis Tetrahedron=(3/20)*sqrt(2)*((5/3)*(Total Surface Area of Triakis Tetrahedron/sqrt(11)))^(3/2)
Volume of Triakis Tetrahedron=(3/20)*sqrt(2)*((5/3)*(Pyramidal Edge Length of Triakis Tetrahedron))^3
Volume of Triakis Tetrahedron=(3/20)*((Tetrahedral Edge Length of Triakis Tetrahedron)^3)*sqrt(2)

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

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

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

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

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