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Volume of Stellated Octahedron given Circumsphere Radius Formula

GoVolume of Stellated Octahedron Formula

GoVolume of Stellated Octahedron given Edge Length of Peaks Formula

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Volume of Stellated Octahedron is the total quantity of three dimensional space enclosed by the surface of the Stellated Octahedron. Check FAQs

V = (\frac{\sqrt{2}}{8}) \cdot ({(4 \cdot \frac{r c}{\sqrt{6}})}^{3})

V - Volume of Stellated Octahedron?r_c - Circumsphere Radius of Stellated Octahedron?

Volume of Stellated Octahedron given Circumsphere Radius Example

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Here is how the Volume of Stellated Octahedron given Circumsphere Radius equation looks like with Values.

Here is how the Volume of Stellated Octahedron given Circumsphere Radius equation looks like with Units.

Here is how the Volume of Stellated Octahedron given Circumsphere Radius equation looks like.

166.2769 = (\frac{\sqrt{2}}{8}) \cdot ({(4 \cdot \frac{6}{\sqrt{6}})}^{3})

166.2769m³ = (\frac{\sqrt{2}}{8}) \cdot ({(4 \cdot \frac{6m}{\sqrt{6}})}^{3})

166.2769 = (\frac{\sqrt{2}}{8}) \cdot ({(4 \cdot \frac{6}{\sqrt{6}})}^{3})

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Volume of Stellated Octahedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Volume of Stellated Octahedron given Circumsphere Radius?

FIRST Step Consider the formula

V = (\frac{\sqrt{2}}{8}) \cdot ({(4 \cdot \frac{r c}{\sqrt{6}})}^{3})

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{2}}{8}) \cdot ({(4 \cdot \frac{6m}{\sqrt{6}})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{2}}{8}) \cdot ({(4 \cdot \frac{6}{\sqrt{6}})}^{3})

Next Step Evaluate

∴

V = 166.276877526612m³

LAST Step Rounding Answer

∴

V = 166.2769m³

Volume of Stellated Octahedron given Circumsphere Radius Formula Elements

Variables

Functions

Volume of Stellated Octahedron

Volume of Stellated Octahedron is the total quantity of three dimensional space enclosed by the surface of the Stellated Octahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Stellated Octahedron

Circumsphere Radius of Stellated Octahedron

Circumsphere Radius of Stellated Octahedron is the radius of the sphere that contains the Stellated Octahedron in such a way that all the vertices are lying on sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Stellated Octahedron

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 Stellated Octahedron

Go Volume of Stellated Octahedron

V = (\frac{\sqrt{2}}{8}) \cdot {l e}^{3}

Go Volume of Stellated Octahedron given Edge Length of Peaks

V = (\frac{\sqrt{2}}{8}) \cdot {(2 \cdot l e(Peaks))}^{3}

Go Volume of Stellated Octahedron given Total Surface Area

V = (\frac{\sqrt{2}}{8}) \cdot {(\frac{2 \cdot TSA}{3 \cdot \sqrt{3}})}^{\frac{3}{2}}

Go Volume of Stellated Octahedron given Surface to Volume Ratio

V = (\frac{\sqrt{2}}{8}) \cdot ({(\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot R A/V})}^{3})

How to Evaluate Volume of Stellated Octahedron given Circumsphere Radius?

Volume of Stellated Octahedron given Circumsphere Radius evaluator uses Volume of Stellated Octahedron = (sqrt(2)/8)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^3) to evaluate the Volume of Stellated Octahedron, Volume of Stellated Octahedron given Circumsphere Radius formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Stellated Octahedron, calculated using its circumsphere radius. Volume of Stellated Octahedron is denoted by V symbol.

How to evaluate Volume of Stellated Octahedron given Circumsphere Radius using this online evaluator? To use this online evaluator for Volume of Stellated Octahedron given Circumsphere Radius, enter Circumsphere Radius of Stellated Octahedron (r_c) and hit the calculate button.

FAQs on Volume of Stellated Octahedron given Circumsphere Radius

What is the formula to find Volume of Stellated Octahedron given Circumsphere Radius?

The formula of Volume of Stellated Octahedron given Circumsphere Radius is expressed as Volume of Stellated Octahedron = (sqrt(2)/8)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^3). Here is an example- 166.2769 = (sqrt(2)/8)*((4*6/sqrt(6))^3).

How to calculate Volume of Stellated Octahedron given Circumsphere Radius?

With Circumsphere Radius of Stellated Octahedron (r_c) we can find Volume of Stellated Octahedron given Circumsphere Radius using the formula - Volume of Stellated Octahedron = (sqrt(2)/8)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Stellated Octahedron?

Here are the different ways to Calculate Volume of Stellated Octahedron-

Volume of Stellated Octahedron=(sqrt(2)/8)*Edge Length of Stellated Octahedron^3
Volume of Stellated Octahedron=(sqrt(2)/8)*(2*Edge Length of Peaks of Stellated Octahedron)^3
Volume of Stellated Octahedron=(sqrt(2)/8)*((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))^(3/2)

Can the Volume of Stellated Octahedron given Circumsphere Radius be negative?

No, the Volume of Stellated Octahedron given Circumsphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Stellated Octahedron given Circumsphere Radius?

Volume of Stellated Octahedron given Circumsphere 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 Stellated Octahedron given Circumsphere Radius can be measured.

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