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Volume of Octahedron given Circumsphere Radius 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{4 \cdot {r c}^{3}}{3}

V - Volume of Octahedron?r_c - Circumsphere Radius of Octahedron?

Volume of Octahedron given Circumsphere Radius Example

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

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

Here is how the Volume of Octahedron given Circumsphere Radius equation looks like.

457.3333 = \frac{4 \cdot 7^{3}}{3}

457.3333m³ = \frac{4 \cdot {7m}^{3}}{3}

457.3333 = \frac{4 \cdot 7^{3}}{3}

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Volume of Octahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{4 \cdot {7m}^{3}}{3}

Next Step Prepare to Evaluate

∴

V = \frac{4 \cdot 7^{3}}{3}

Next Step Evaluate

∴

V = 457.333333333333m³

LAST Step Rounding Answer

∴

V = 457.3333m³

Volume of Octahedron given Circumsphere Radius 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

Circumsphere Radius of Octahedron

Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius 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 Total Surface Area

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

How to Evaluate Volume of Octahedron given Circumsphere Radius?

Volume of Octahedron given Circumsphere Radius evaluator uses Volume of Octahedron = (4*Circumsphere Radius of Octahedron^3)/3 to evaluate the Volume of Octahedron, The Volume of Octahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron and calculated using the circumsphere radius of the Octahedron. Volume of Octahedron is denoted by V symbol.

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

FAQs on Volume of Octahedron given Circumsphere Radius

What is the formula to find Volume of Octahedron given Circumsphere Radius?

The formula of Volume of Octahedron given Circumsphere Radius is expressed as Volume of Octahedron = (4*Circumsphere Radius of Octahedron^3)/3. Here is an example- 457.3333 = (4*7^3)/3.

How to calculate Volume of Octahedron given Circumsphere Radius?

With Circumsphere Radius of Octahedron (r_c) we can find Volume of Octahedron given Circumsphere Radius using the formula - Volume of Octahedron = (4*Circumsphere Radius of Octahedron^3)/3.

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=sqrt(2)/3*(sqrt(Total Surface Area of Octahedron/(2*sqrt(3))))^3

Can the Volume of Octahedron given Circumsphere Radius be negative?

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

Which unit is used to measure Volume of Octahedron given Circumsphere Radius?

Volume of Octahedron given Circumsphere Radius 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 Circumsphere Radius can be measured.

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