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Volume of Stellated Octahedron given Total Surface Area 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{2 \cdot TSA}{3 \cdot \sqrt{3}})}^{\frac{3}{2}}

V - Volume of Stellated Octahedron?TSA - Total Surface Area of Stellated Octahedron?

Volume of Stellated Octahedron given Total Surface Area Example

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

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

Here is how the Volume of Stellated Octahedron given Total Surface Area equation looks like.

176.9731 = (\frac{\sqrt{2}}{8}) \cdot {(\frac{2 \cdot 260}{3 \cdot \sqrt{3}})}^{\frac{3}{2}}

176.9731m³ = (\frac{\sqrt{2}}{8}) \cdot {(\frac{2 \cdot 260m²}{3 \cdot \sqrt{3}})}^{\frac{3}{2}}

176.9731 = (\frac{\sqrt{2}}{8}) \cdot {(\frac{2 \cdot 260}{3 \cdot \sqrt{3}})}^{\frac{3}{2}}

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Volume of Stellated Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{2}}{8}) \cdot {(\frac{2 \cdot 260m²}{3 \cdot \sqrt{3}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{2}}{8}) \cdot {(\frac{2 \cdot 260}{3 \cdot \sqrt{3}})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 176.973077495595m³

LAST Step Rounding Answer

∴

V = 176.9731m³

Volume of Stellated Octahedron given Total Surface Area 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

Total Surface Area of Stellated Octahedron

Total Surface Area of Stellated Octahedron is the total quantity of plane enclosed on the entire surface of the Stellated Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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 Total Surface Area?

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

How to evaluate Volume of Stellated Octahedron given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Stellated Octahedron given Total Surface Area, enter Total Surface Area of Stellated Octahedron (TSA) and hit the calculate button.

FAQs on Volume of Stellated Octahedron given Total Surface Area

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

The formula of Volume of Stellated Octahedron given Total Surface Area is expressed as Volume of Stellated Octahedron = (sqrt(2)/8)*((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))^(3/2). Here is an example- 176.9731 = (sqrt(2)/8)*((2*260)/(3*sqrt(3)))^(3/2).

How to calculate Volume of Stellated Octahedron given Total Surface Area?

With Total Surface Area of Stellated Octahedron (TSA) we can find Volume of Stellated Octahedron given Total Surface Area using the formula - Volume of Stellated Octahedron = (sqrt(2)/8)*((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))^(3/2). 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 Total Surface Area be negative?

No, the Volume of Stellated Octahedron given Total Surface Area, measured in Volume cannot be negative.

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

Volume of Stellated Octahedron given Total Surface Area 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 Total Surface Area can be measured.

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