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Volume of Tetrakis Hexahedron given Insphere Radius Formula

GoVolume of Tetrakis Hexahedron given Surface to Volume Ratio Formula

GoVolume of Tetrakis Hexahedron given Midsphere Radius Formula

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Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron. Check FAQs

V = \frac{3}{2} \cdot {(\frac{10 \cdot r i}{3 \cdot \sqrt{5}})}^{3}

V - Volume of Tetrakis Hexahedron?r_i - Insphere Radius of Tetrakis Hexahedron?

Volume of Tetrakis Hexahedron given Insphere Radius Example

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Here is how the Volume of Tetrakis Hexahedron given Insphere Radius equation looks like with Values.

Here is how the Volume of Tetrakis Hexahedron given Insphere Radius equation looks like with Units.

Here is how the Volume of Tetrakis Hexahedron given Insphere Radius equation looks like.

1073.3126 = \frac{3}{2} \cdot {(\frac{10 \cdot 6}{3 \cdot \sqrt{5}})}^{3}

1073.3126m³ = \frac{3}{2} \cdot {(\frac{10 \cdot 6m}{3 \cdot \sqrt{5}})}^{3}

1073.3126 = \frac{3}{2} \cdot {(\frac{10 \cdot 6}{3 \cdot \sqrt{5}})}^{3}

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Volume of Tetrakis Hexahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Volume of Tetrakis Hexahedron given Insphere Radius?

FIRST Step Consider the formula

V = \frac{3}{2} \cdot {(\frac{10 \cdot r i}{3 \cdot \sqrt{5}})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{3}{2} \cdot {(\frac{10 \cdot 6m}{3 \cdot \sqrt{5}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{3}{2} \cdot {(\frac{10 \cdot 6}{3 \cdot \sqrt{5}})}^{3}

Next Step Evaluate

∴

V = 1073.3126291999m³

LAST Step Rounding Answer

∴

V = 1073.3126m³

Volume of Tetrakis Hexahedron given Insphere Radius Formula Elements

Variables

Functions

Volume of Tetrakis Hexahedron

Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Tetrakis Hexahedron

Insphere Radius of Tetrakis Hexahedron

Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron 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 Tetrakis Hexahedron

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 Tetrakis Hexahedron

Go Volume of Tetrakis Hexahedron given Surface to Volume Ratio

V = \frac{3}{2} \cdot {(\frac{2 \cdot \sqrt{5}}{R A/V})}^{3}

Go Volume of Tetrakis Hexahedron given Midsphere Radius

V = \frac{3}{2} \cdot {(\frac{2 \cdot r m}{\sqrt{2}})}^{3}

Go Volume of Tetrakis Hexahedron given Total Surface Area

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

Go Volume of Tetrakis Hexahedron given Height

V = \frac{3}{2} \cdot {(\frac{2 \cdot h}{3})}^{3}

How to Evaluate Volume of Tetrakis Hexahedron given Insphere Radius?

Volume of Tetrakis Hexahedron given Insphere Radius evaluator uses Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3 to evaluate the Volume of Tetrakis Hexahedron, Volume of Tetrakis Hexahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Tetrakis Hexahedron, calculated using insphere radius of Tetrakis Hexahedron. Volume of Tetrakis Hexahedron is denoted by V symbol.

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

FAQs on Volume of Tetrakis Hexahedron given Insphere Radius

What is the formula to find Volume of Tetrakis Hexahedron given Insphere Radius?

The formula of Volume of Tetrakis Hexahedron given Insphere Radius is expressed as Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3. Here is an example- 1073.313 = 3/2*((10*6)/(3*sqrt(5)))^3.

How to calculate Volume of Tetrakis Hexahedron given Insphere Radius?

With Insphere Radius of Tetrakis Hexahedron (r_i) we can find Volume of Tetrakis Hexahedron given Insphere Radius using the formula - Volume of Tetrakis Hexahedron = 3/2*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Tetrakis Hexahedron?

Here are the different ways to Calculate Volume of Tetrakis Hexahedron-

Volume of Tetrakis Hexahedron=3/2*((2*sqrt(5))/Surface to Volume Ratio of Tetrakis Hexahedron)^3
Volume of Tetrakis Hexahedron=3/2*((2*Midsphere Radius of Tetrakis Hexahedron)/(sqrt(2)))^3
Volume of Tetrakis Hexahedron=3/2*(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5)))^(3/2)

Can the Volume of Tetrakis Hexahedron given Insphere Radius be negative?

No, the Volume of Tetrakis Hexahedron given Insphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Tetrakis Hexahedron given Insphere Radius?

Volume of Tetrakis Hexahedron 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 Tetrakis Hexahedron given Insphere Radius can be measured.

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