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Volume of Octahedron given Total Surface Area Formula

GoVolume of Octahedron Formula

GoVolume of Octahedron given Circumsphere Radius Formula

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

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

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

Volume of Octahedron given Total Surface Area Example

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

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

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

478.7512 = \frac{\sqrt{2}}{3} \cdot {(\sqrt{\frac{350}{2 \cdot \sqrt{3}}})}^{3}

478.7512m³ = \frac{\sqrt{2}}{3} \cdot {(\sqrt{\frac{350m²}{2 \cdot \sqrt{3}}})}^{3}

478.7512 = \frac{\sqrt{2}}{3} \cdot {(\sqrt{\frac{350}{2 \cdot \sqrt{3}}})}^{3}

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Volume of Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{2}}{3} \cdot {(\sqrt{\frac{350m²}{2 \cdot \sqrt{3}}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{2}}{3} \cdot {(\sqrt{\frac{350}{2 \cdot \sqrt{3}}})}^{3}

Next Step Evaluate

∴

V = 478.7511995102m³

LAST Step Rounding Answer

∴

V = 478.7512m³

Volume of Octahedron given Total Surface Area Formula Elements

Variables

Functions

Volume of Octahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Octahedron

Total Surface Area of Octahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of 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 Octahedron

Go Volume of Octahedron

V = \frac{\sqrt{2}}{3} \cdot {l e}^{3}

Go Volume of Octahedron given Circumsphere Radius

V = \frac{4 \cdot {r c}^{3}}{3}

Go Volume of Octahedron given Insphere Radius

V = 4 \cdot \sqrt{3} \cdot {r i}^{3}

How to Evaluate Volume of Octahedron given Total Surface Area?

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

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

FAQs on Volume of Octahedron given Total Surface Area

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

The formula of Volume of Octahedron given Total Surface Area is expressed as Volume of Octahedron = sqrt(2)/3*(sqrt(Total Surface Area of Octahedron/(2*sqrt(3))))^3. Here is an example- 478.7512 = sqrt(2)/3*(sqrt(350/(2*sqrt(3))))^3.

How to calculate Volume of Octahedron given Total Surface Area?

With Total Surface Area of Octahedron (TSA) we can find Volume of Octahedron given Total Surface Area using the formula - Volume of Octahedron = sqrt(2)/3*(sqrt(Total Surface Area of Octahedron/(2*sqrt(3))))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Octahedron?

Here are the different ways to Calculate Volume of Octahedron-

Volume of Octahedron=sqrt(2)/3*Edge Length of Octahedron^3
Volume of Octahedron=(4*Circumsphere Radius of Octahedron^3)/3
Volume of Octahedron=4*sqrt(3)*Insphere Radius of Octahedron^3

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

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

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

Volume of 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 Octahedron given Total Surface Area can be measured.

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