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Volume of Octahedron Formula

GoVolume of Octahedron given Circumsphere Radius Formula

GoVolume of Octahedron given Insphere 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 {l e}^{3}

V - Volume of Octahedron?l_e - Edge Length of Octahedron?

Volume of Octahedron Example

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Here is how the Volume of Octahedron equation looks like with Values.

Here is how the Volume of Octahedron equation looks like with Units.

Here is how the Volume of Octahedron equation looks like.

471.4045 = \frac{\sqrt{2}}{3} \cdot 10^{3}

471.4045m³ = \frac{\sqrt{2}}{3} \cdot {10m}^{3}

471.4045 = \frac{\sqrt{2}}{3} \cdot 10^{3}

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Volume of Octahedron Solution

Follow our step by step solution on how to calculate Volume of Octahedron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{2}}{3} \cdot {10m}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{2}}{3} \cdot 10^{3}

Next Step Evaluate

∴

V = 471.404520791032m³

LAST Step Rounding Answer

∴

V = 471.4045m³

Volume of Octahedron 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

Edge Length of Octahedron

Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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}

Go Volume of Octahedron given Total Surface Area

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

How to Evaluate Volume of Octahedron?

Volume of Octahedron evaluator uses Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3 to evaluate the Volume of Octahedron, Volume of Octahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron. Volume of Octahedron is denoted by V symbol.

How to evaluate Volume of Octahedron using this online evaluator? To use this online evaluator for Volume of Octahedron, enter Edge Length of Octahedron (l_e) and hit the calculate button.

FAQs on Volume of Octahedron

What is the formula to find Volume of Octahedron?

The formula of Volume of Octahedron is expressed as Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3. Here is an example- 471.4045 = sqrt(2)/3*10^3.

How to calculate Volume of Octahedron?

With Edge Length of Octahedron (l_e) we can find Volume of Octahedron using the formula - Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^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=(4*Circumsphere Radius of Octahedron^3)/3
Volume of Octahedron=4*sqrt(3)*Insphere Radius of Octahedron^3
Volume of Octahedron=sqrt(2)/3*(sqrt(Total Surface Area of Octahedron/(2*sqrt(3))))^3

Can the Volume of Octahedron be negative?

No, the Volume of Octahedron, measured in Volume cannot be negative.

Which unit is used to measure Volume of Octahedron?

Volume of Octahedron 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 can be measured.

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