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Volume of Triakis Octahedron given Total Surface Area 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{TSA}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}})}^{\frac{3}{2}}

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

Volume of Triakis Octahedron given Total Surface Area Example

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

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

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

594.8367 = (2 - \sqrt{2}) \cdot {(\frac{370}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}})}^{\frac{3}{2}}

594.8367m³ = (2 - \sqrt{2}) \cdot {(\frac{370m²}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}})}^{\frac{3}{2}}

594.8367 = (2 - \sqrt{2}) \cdot {(\frac{370}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}})}^{\frac{3}{2}}

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Volume of Triakis Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (2 - \sqrt{2}) \cdot {(\frac{370m²}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = (2 - \sqrt{2}) \cdot {(\frac{370}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 594.836685180783m³

LAST Step Rounding Answer

∴

V = 594.8367m³

Volume of Triakis Octahedron given Total Surface Area 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

Total Surface Area of Triakis Octahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Midsphere Radius

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

Go Volume of Triakis Octahedron given Insphere Radius

V = (2 - \sqrt{2}) \cdot {(\frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}})}^{3}

How to Evaluate Volume of Triakis Octahedron given Total Surface Area?

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

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

FAQs on Volume of Triakis Octahedron given Total Surface Area

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

The formula of Volume of Triakis Octahedron given Total Surface Area is expressed as Volume of Triakis Octahedron = (2-sqrt(2))*((Total Surface Area of Triakis Octahedron)/(6*sqrt(23-(16*sqrt(2)))))^(3/2). Here is an example- 594.8367 = (2-sqrt(2))*((370)/(6*sqrt(23-(16*sqrt(2)))))^(3/2).

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

With Total Surface Area of Triakis Octahedron (TSA) we can find Volume of Triakis Octahedron given Total Surface Area using the formula - Volume of Triakis Octahedron = (2-sqrt(2))*((Total Surface Area of Triakis Octahedron)/(6*sqrt(23-(16*sqrt(2)))))^(3/2). 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))*(2*Midsphere Radius of Triakis Octahedron)^3

Can the Volume of Triakis Octahedron given Total Surface Area be negative?

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

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

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

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