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Volume of Stellated Octahedron given Edge Length of Peaks Formula

GoVolume of Stellated Octahedron Formula

GoVolume of Stellated Octahedron given Circumsphere Radius 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 {(2 \cdot l e(Peaks))}^{3}

V - Volume of Stellated Octahedron?l_e(Peaks) - Edge Length of Peaks of Stellated Octahedron?

Volume of Stellated Octahedron given Edge Length of Peaks Example

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Here is how the Volume of Stellated Octahedron given Edge Length of Peaks equation looks like with Values.

Here is how the Volume of Stellated Octahedron given Edge Length of Peaks equation looks like with Units.

Here is how the Volume of Stellated Octahedron given Edge Length of Peaks equation looks like.

176.7767 = (\frac{\sqrt{2}}{8}) \cdot {(2 \cdot 5)}^{3}

176.7767m³ = (\frac{\sqrt{2}}{8}) \cdot {(2 \cdot 5m)}^{3}

176.7767 = (\frac{\sqrt{2}}{8}) \cdot {(2 \cdot 5)}^{3}

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Volume of Stellated Octahedron given Edge Length of Peaks Solution

Follow our step by step solution on how to calculate Volume of Stellated Octahedron given Edge Length of Peaks?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{2}}{8}) \cdot {(2 \cdot 5m)}^{3}

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{2}}{8}) \cdot {(2 \cdot 5)}^{3}

Next Step Evaluate

∴

V = 176.776695296637m³

LAST Step Rounding Answer

∴

V = 176.7767m³

Volume of Stellated Octahedron given Edge Length of Peaks 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

Edge Length of Peaks of Stellated Octahedron

Edge Length of Peaks of Stellated Octahedron is the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron.

Symbol: l_e(Peaks)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Peaks 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 Circumsphere Radius

V = (\frac{\sqrt{2}}{8}) \cdot ({(4 \cdot \frac{r c}{\sqrt{6}})}^{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 Edge Length of Peaks?

Volume of Stellated Octahedron given Edge Length of Peaks evaluator uses Volume of Stellated Octahedron = (sqrt(2)/8)*(2*Edge Length of Peaks of Stellated Octahedron)^3 to evaluate the Volume of Stellated Octahedron, Volume of Stellated Octahedron given Edge Length of Peaks is defined as the total quantity of three-dimensional space enclosed by the surface of the Stellated Octahedron, calculated using its edge length of peaks. Volume of Stellated Octahedron is denoted by V symbol.

How to evaluate Volume of Stellated Octahedron given Edge Length of Peaks using this online evaluator? To use this online evaluator for Volume of Stellated Octahedron given Edge Length of Peaks, enter Edge Length of Peaks of Stellated Octahedron (l_e(Peaks)) and hit the calculate button.

FAQs on Volume of Stellated Octahedron given Edge Length of Peaks

What is the formula to find Volume of Stellated Octahedron given Edge Length of Peaks?

The formula of Volume of Stellated Octahedron given Edge Length of Peaks is expressed as Volume of Stellated Octahedron = (sqrt(2)/8)*(2*Edge Length of Peaks of Stellated Octahedron)^3. Here is an example- 176.7767 = (sqrt(2)/8)*(2*5)^3.

How to calculate Volume of Stellated Octahedron given Edge Length of Peaks?

With Edge Length of Peaks of Stellated Octahedron (l_e(Peaks)) we can find Volume of Stellated Octahedron given Edge Length of Peaks using the formula - Volume of Stellated Octahedron = (sqrt(2)/8)*(2*Edge Length of Peaks of Stellated Octahedron)^3. This formula also uses Square Root Function 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)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^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 Edge Length of Peaks be negative?

No, the Volume of Stellated Octahedron given Edge Length of Peaks, measured in Volume cannot be negative.

Which unit is used to measure Volume of Stellated Octahedron given Edge Length of Peaks?

Volume of Stellated Octahedron given Edge Length of Peaks 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 Edge Length of Peaks can be measured.

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