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Volume of Triakis Octahedron given Surface to Volume Ratio Formula

GoVolume of Triakis Octahedron Formula

GoVolume of Triakis Octahedron given Pyramidal Edge Length Formula

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

V = (2 - \sqrt{2}) \cdot {(\frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot R A/V})}^{3}

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

Volume of Triakis Octahedron given Surface to Volume Ratio Example

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

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

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

662.7595 = (2 - \sqrt{2}) \cdot {(\frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6})}^{3}

662.7595m³ = (2 - \sqrt{2}) \cdot {(\frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6m⁻¹})}^{3}

662.7595 = (2 - \sqrt{2}) \cdot {(\frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6})}^{3}

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Volume of Triakis Octahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = (2 - \sqrt{2}) \cdot {(\frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot R A/V})}^{3}

Next Step Substitute values of Variables

∴

V = (2 - \sqrt{2}) \cdot {(\frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = (2 - \sqrt{2}) \cdot {(\frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot 0.6})}^{3}

Next Step Evaluate

∴

V = 662.759453984263m³

LAST Step Rounding Answer

∴

V = 662.7595m³

Volume of Triakis Octahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Triakis Octahedron

Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Triakis Octahedron

Surface to Volume Ratio of Triakis Octahedron

Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis 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 Triakis 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 Triakis Octahedron

Go Volume of Triakis Octahedron

V = (2 - \sqrt{2}) \cdot {l e(Octahedron)}^{3}

Go Volume of Triakis Octahedron given Pyramidal Edge Length

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

Go Volume of Triakis Octahedron given Total Surface Area

V = (2 - \sqrt{2}) \cdot {(\frac{TSA}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}})}^{\frac{3}{2}}

Go Volume of Triakis Octahedron given Midsphere Radius

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

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

Volume of Triakis Octahedron given Surface to Volume Ratio evaluator uses Volume of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))^3 to evaluate the Volume of Triakis Octahedron, The Volume of Triakis Octahedron given Surface to Volume Ratio formula is defined as the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron, calculated using the surface to volume ratio of the Triakis Octahedron. Volume of Triakis Octahedron is denoted by V symbol.

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

FAQs on Volume of Triakis Octahedron given Surface to Volume Ratio

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

The formula of Volume of Triakis Octahedron given Surface to Volume Ratio is expressed as Volume of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))^3. Here is an example- 662.7595 = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*0.6))^3.

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

With Surface to Volume Ratio of Triakis Octahedron (R_A/V) we can find Volume of Triakis Octahedron given Surface to Volume Ratio using the formula - Volume of Triakis Octahedron = (2-sqrt(2))*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))^3. This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Triakis Octahedron=(2-sqrt(2))*Octahedral Edge Length of Triakis Octahedron^3
Volume of Triakis Octahedron=(2-sqrt(2))*((Pyramidal Edge Length of Triakis Octahedron)/(2-sqrt(2)))^3
Volume of Triakis Octahedron=(2-sqrt(2))*((Total Surface Area of Triakis Octahedron)/(6*sqrt(23-(16*sqrt(2)))))^(3/2)

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

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

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

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

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