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Volume of Octahedron given Space Diagonal Formula

GoVolume of Octahedron 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{{d Space}^{3}}{6}

V - Volume of Octahedron?d_Space - Space Diagonal of Octahedron?

Volume of Octahedron given Space Diagonal Example

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

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

Here is how the Volume of Octahedron given Space Diagonal equation looks like.

457.3333 = \frac{14^{3}}{6}

457.3333m³ = \frac{{14m}^{3}}{6}

457.3333 = \frac{14^{3}}{6}

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Volume of Octahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

V = \frac{{d Space}^{3}}{6}

Next Step Substitute values of Variables

∴

V = \frac{{14m}^{3}}{6}

Next Step Prepare to Evaluate

∴

V = \frac{14^{3}}{6}

Next Step Evaluate

∴

V = 457.333333333333m³

LAST Step Rounding Answer

∴

V = 457.3333m³

Volume of Octahedron given Space Diagonal Formula Elements

Variables

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

Space Diagonal of Octahedron

The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Octahedron

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 Insphere Radius

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

Go Volume of Octahedron given Circumsphere Radius

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

Go Volume of Octahedron given Midsphere Radius

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

How to Evaluate Volume of Octahedron given Space Diagonal?

Volume of Octahedron given Space Diagonal evaluator uses Volume of Octahedron = (Space Diagonal of Octahedron^3)/(6) to evaluate the Volume of Octahedron, The Volume of Octahedron given Space Diagonal formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron and calculated using the space diagonal of the Octahedron. Volume of Octahedron is denoted by V symbol.

How to evaluate Volume of Octahedron given Space Diagonal using this online evaluator? To use this online evaluator for Volume of Octahedron given Space Diagonal, enter Space Diagonal of Octahedron (d_Space) and hit the calculate button.

FAQs on Volume of Octahedron given Space Diagonal

What is the formula to find Volume of Octahedron given Space Diagonal?

The formula of Volume of Octahedron given Space Diagonal is expressed as Volume of Octahedron = (Space Diagonal of Octahedron^3)/(6). Here is an example- 457.3333 = (14^3)/(6).

How to calculate Volume of Octahedron given Space Diagonal?

With Space Diagonal of Octahedron (d_Space) we can find Volume of Octahedron given Space Diagonal using the formula - Volume of Octahedron = (Space Diagonal of Octahedron^3)/(6).

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

Can the Volume of Octahedron given Space Diagonal be negative?

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

Which unit is used to measure Volume of Octahedron given Space Diagonal?

Volume of Octahedron given Space Diagonal 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 Space Diagonal can be measured.

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