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Volume of Stellated Octahedron given Surface to Volume Ratio 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 ({(\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot R A/V})}^{3})

V - Volume of Stellated Octahedron?R_A/V - Surface to Volume Ratio of Stellated Octahedron?

Volume of Stellated Octahedron given Surface to Volume Ratio Example

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

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

Here is how the Volume of Stellated Octahedron given Surface to Volume Ratio equation looks like.

204.5133 = (\frac{\sqrt{2}}{8}) \cdot ({(\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4})}^{3})

204.5133m³ = (\frac{\sqrt{2}}{8}) \cdot ({(\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4m⁻¹})}^{3})

204.5133 = (\frac{\sqrt{2}}{8}) \cdot ({(\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4})}^{3})

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Volume of Stellated Octahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Stellated Octahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{2}}{8}) \cdot ({(\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4m⁻¹})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{2}}{8}) \cdot ({(\frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 1.4})}^{3})

Next Step Evaluate

∴

V = 204.513287774168m³

LAST Step Rounding Answer

∴

V = 204.5133m³

Volume of Stellated Octahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Stellated Octahedron

Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 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}}

How to Evaluate Volume of Stellated Octahedron given Surface to Volume Ratio?

Volume of Stellated Octahedron given Surface to Volume Ratio evaluator uses Volume of Stellated Octahedron = (sqrt(2)/8)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron))^3) to evaluate the Volume of Stellated Octahedron, Volume of Stellated Octahedron given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Stellated Octahedron, calculated using its surface to volume ratio. Volume of Stellated Octahedron is denoted by V symbol.

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

FAQs on Volume of Stellated Octahedron given Surface to Volume Ratio

What is the formula to find Volume of Stellated Octahedron given Surface to Volume Ratio?

The formula of Volume of Stellated Octahedron given Surface to Volume Ratio is expressed as Volume of Stellated Octahedron = (sqrt(2)/8)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron))^3). Here is an example- 204.5133 = (sqrt(2)/8)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4))^3).

How to calculate Volume of Stellated Octahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Stellated Octahedron (R_A/V) we can find Volume of Stellated Octahedron given Surface to Volume Ratio using the formula - Volume of Stellated Octahedron = (sqrt(2)/8)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron))^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)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^3)

Can the Volume of Stellated Octahedron given Surface to Volume Ratio be negative?

No, the Volume of Stellated Octahedron given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Stellated Octahedron given Surface to Volume Ratio?

Volume of Stellated Octahedron 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 Stellated Octahedron given Surface to Volume Ratio can be measured.

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