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Insphere Radius of Cube given Circumsphere Radius Formula

GoInsphere Radius of Cube Formula

GoInsphere Radius of Cube given Face Diagonal Formula

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

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

r_i - Insphere Radius of Cube?r_c - Circumsphere Radius of Cube?

Insphere Radius of Cube given Circumsphere Radius Example

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Here is how the Insphere Radius of Cube given Circumsphere Radius equation looks like with Values.

Here is how the Insphere Radius of Cube given Circumsphere Radius equation looks like with Units.

Here is how the Insphere Radius of Cube given Circumsphere Radius equation looks like.

5.1962 = \frac{9}{\sqrt{3}}

5.1962m = \frac{9m}{\sqrt{3}}

5.1962 = \frac{9}{\sqrt{3}}

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Insphere Radius of Cube given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Insphere Radius of Cube given Circumsphere Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{9m}{\sqrt{3}}

Next Step Prepare to Evaluate

∴

r i = \frac{9}{\sqrt{3}}

Next Step Evaluate

∴

r i = 5.19615242270663m

LAST Step Rounding Answer

∴

r i = 5.1962m

Insphere Radius of Cube given Circumsphere Radius Formula Elements

Variables

Functions

Insphere Radius of Cube

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

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Cube

Circumsphere Radius of Cube

Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Cube

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 Cube

Go Insphere Radius of Cube

r i = \frac{l e}{2}

Go Insphere Radius of Cube given Face Diagonal

r i = \frac{d Face}{2 \cdot \sqrt{2}}

Go Insphere Radius of Cube given Face Area

r i = \frac{\sqrt{A Face}}{2}

Go Insphere Radius of Cube given Face Perimeter

r i = \frac{P Face}{8}

How to Evaluate Insphere Radius of Cube given Circumsphere Radius?

Insphere Radius of Cube given Circumsphere Radius evaluator uses Insphere Radius of Cube = Circumsphere Radius of Cube/sqrt(3) to evaluate the Insphere Radius of Cube, The Insphere Radius of Cube given Circumsphere Radius formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the circumsphere radius of the Cube. Insphere Radius of Cube is denoted by r_i symbol.

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

FAQs on Insphere Radius of Cube given Circumsphere Radius

What is the formula to find Insphere Radius of Cube given Circumsphere Radius?

The formula of Insphere Radius of Cube given Circumsphere Radius is expressed as Insphere Radius of Cube = Circumsphere Radius of Cube/sqrt(3). Here is an example- 5.196152 = 9/sqrt(3).

How to calculate Insphere Radius of Cube given Circumsphere Radius?

With Circumsphere Radius of Cube (r_c) we can find Insphere Radius of Cube given Circumsphere Radius using the formula - Insphere Radius of Cube = Circumsphere Radius of Cube/sqrt(3). This formula also uses Square Root Function function(s).

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

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

Insphere Radius of Cube=Edge Length of Cube/2
Insphere Radius of Cube=Face Diagonal of Cube/(2*sqrt(2))
Insphere Radius of Cube=sqrt(Face Area of Cube)/2

Can the Insphere Radius of Cube given Circumsphere Radius be negative?

No, the Insphere Radius of Cube given Circumsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Cube given Circumsphere Radius?

Insphere Radius of Cube given Circumsphere Radius 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 Cube given Circumsphere Radius can be measured.

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