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Circumsphere Radius of Cube given Insphere Radius Formula

GoCircumsphere Radius of Cube Formula

GoCircumsphere Radius of Cube given Face Area Formula

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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. Check FAQs

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

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

Circumsphere Radius of Cube given Insphere Radius Example

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

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

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

8.6603 = \sqrt{3} \cdot 5

8.6603m = \sqrt{3} \cdot 5m

8.6603 = \sqrt{3} \cdot 5

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Circumsphere Radius of Cube given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{3} \cdot 5m

Next Step Prepare to Evaluate

∴

r c = \sqrt{3} \cdot 5

Next Step Evaluate

∴

r c = 8.66025403784439m

LAST Step Rounding Answer

∴

r c = 8.6603m

Circumsphere Radius of Cube given Insphere Radius Formula Elements

Variables

Functions

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

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

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 Circumsphere Radius of Cube

Go Circumsphere Radius of Cube

r c = \frac{\sqrt{3}}{2} \cdot l e

Go Circumsphere Radius of Cube given Face Area

r c = \frac{\sqrt{3 \cdot A Face}}{2}

Go Circumsphere Radius of Cube given Face Diagonal

r c = \frac{\sqrt{3}}{2 \cdot \sqrt{2}} \cdot d Face

Go Circumsphere Radius of Cube given Face Perimeter

r c = \frac{\sqrt{3}}{8} \cdot P Face

How to Evaluate Circumsphere Radius of Cube given Insphere Radius?

Circumsphere Radius of Cube given Insphere Radius evaluator uses Circumsphere Radius of Cube = sqrt(3)*Insphere Radius of Cube to evaluate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Insphere Radius formula is defined as the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere, and calculated using the insphere radius of Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Cube given Insphere Radius

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

The formula of Circumsphere Radius of Cube given Insphere Radius is expressed as Circumsphere Radius of Cube = sqrt(3)*Insphere Radius of Cube. Here is an example- 8.660254 = sqrt(3)*5.

How to calculate Circumsphere Radius of Cube given Insphere Radius?

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

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

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

Circumsphere Radius of Cube=sqrt(3)/2*Edge Length of Cube
Circumsphere Radius of Cube=sqrt(3*Face Area of Cube)/2
Circumsphere Radius of Cube=sqrt(3)/(2*sqrt(2))*Face Diagonal of Cube

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

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

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

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

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