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Insphere Radius of Octahedron given Volume Formula

GoInsphere Radius of Octahedron Formula

GoInsphere Radius of Octahedron given Midsphere Radius Formula

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Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere. Check FAQs

r i = \frac{{(\frac{3 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

r_i - Insphere Radius of Octahedron?V - Volume of Octahedron?

Insphere Radius of Octahedron given Volume Example

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

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

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

4.0784 = \frac{{(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

4.0784m = \frac{{(\frac{3 \cdot 470m³}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

4.0784 = \frac{{(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

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Insphere Radius of Octahedron given Volume Solution

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

FIRST Step Consider the formula

r i = \frac{{(\frac{3 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

Next Step Substitute values of Variables

∴

r i = \frac{{(\frac{3 \cdot 470m³}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

Next Step Prepare to Evaluate

∴

r i = \frac{{(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}}{\sqrt{6}}

Next Step Evaluate

∴

r i = 4.07842436896281m

LAST Step Rounding Answer

∴

r i = 4.0784m

Insphere Radius of Octahedron given Volume Formula Elements

Variables

Functions

Insphere Radius of Octahedron

Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Octahedron

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

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 Insphere Radius of Octahedron

Go Insphere Radius of Octahedron

r i = \frac{l e}{\sqrt{6}}

Go Insphere Radius of Octahedron given Midsphere Radius

r i = \sqrt{\frac{2}{3}} \cdot r m

Go Insphere Radius of Octahedron given Space Diagonal

r i = \frac{d Space}{2 \cdot \sqrt{3}}

Go Insphere Radius of Octahedron given Circumsphere Radius

r i = \frac{r c}{\sqrt{3}}

How to Evaluate Insphere Radius of Octahedron given Volume?

Insphere Radius of Octahedron given Volume evaluator uses Insphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(6) to evaluate the Insphere Radius of Octahedron, Insphere Radius of Octahedron given Volume formula is defined as the radius of the sphere that is contained by the Octahedron in such a way that all the faces just touch the sphere, and is calculated using the volume of the Octahedron. Insphere Radius of Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Octahedron given Volume

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

The formula of Insphere Radius of Octahedron given Volume is expressed as Insphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(6). Here is an example- 4.078424 = ((3*470)/sqrt(2))^(1/3)/sqrt(6).

How to calculate Insphere Radius of Octahedron given Volume?

With Volume of Octahedron (V) we can find Insphere Radius of Octahedron given Volume using the formula - Insphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(6). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Octahedron?

Here are the different ways to Calculate Insphere Radius of Octahedron-

Insphere Radius of Octahedron=Edge Length of Octahedron/sqrt(6)
Insphere Radius of Octahedron=sqrt(2/3)*Midsphere Radius of Octahedron
Insphere Radius of Octahedron=Space Diagonal of Octahedron/(2*sqrt(3))

Can the Insphere Radius of Octahedron given Volume be negative?

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

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

Insphere Radius of Octahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Octahedron given Volume can be measured.

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