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Volume of Octahedron given Midsphere 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{\sqrt{2}}{3} \cdot {(2 \cdot r m)}^{3}

V - Volume of Octahedron?r_m - Midsphere Radius of Octahedron?

Volume of Octahedron given Midsphere Radius Example

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

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

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

471.4045 = \frac{\sqrt{2}}{3} \cdot {(2 \cdot 5)}^{3}

471.4045m³ = \frac{\sqrt{2}}{3} \cdot {(2 \cdot 5m)}^{3}

471.4045 = \frac{\sqrt{2}}{3} \cdot {(2 \cdot 5)}^{3}

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Volume of Octahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{2}}{3} \cdot {(2 \cdot 5m)}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{2}}{3} \cdot {(2 \cdot 5)}^{3}

Next Step Evaluate

∴

V = 471.404520791032m³

LAST Step Rounding Answer

∴

V = 471.4045m³

Volume of Octahedron given Midsphere Radius 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

Midsphere Radius of Octahedron

Midsphere Radius of Octahedron is the radius of the sphere for which all the edges of the Octahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 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 Surface to Volume Ratio

V = \frac{\sqrt{2}}{3} \cdot {(\frac{3 \cdot \sqrt{6}}{R A/V})}^{3}

How to Evaluate Volume of Octahedron given Midsphere Radius?

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

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

FAQs on Volume of Octahedron given Midsphere Radius

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

The formula of Volume of Octahedron given Midsphere Radius is expressed as Volume of Octahedron = sqrt(2)/3*(2*Midsphere Radius of Octahedron)^3. Here is an example- 471.4045 = sqrt(2)/3*(2*5)^3.

How to calculate Volume of Octahedron given Midsphere Radius?

With Midsphere Radius of Octahedron (r_m) we can find Volume of Octahedron given Midsphere Radius using the formula - Volume of Octahedron = sqrt(2)/3*(2*Midsphere Radius 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=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 Midsphere Radius be negative?

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

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

Volume of Octahedron given Midsphere 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 Midsphere Radius can be measured.

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