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Circumsphere Radius of Cube given Perimeter 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 = \frac{\sqrt{3} \cdot P}{24}

r_c - Circumsphere Radius of Cube?P - Perimeter of Cube?

Circumsphere Radius of Cube given Perimeter Example

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

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

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

8.6603 = \frac{\sqrt{3} \cdot 120}{24}

8.6603m = \frac{\sqrt{3} \cdot 120m}{24}

8.6603 = \frac{\sqrt{3} \cdot 120}{24}

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Circumsphere Radius of Cube given Perimeter Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{3} \cdot P}{24}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{3} \cdot 120m}{24}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{3} \cdot 120}{24}

Next Step Evaluate

∴

r c = 8.66025403784439m

LAST Step Rounding Answer

∴

r c = 8.6603m

Circumsphere Radius of Cube given Perimeter 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

Perimeter of Cube

Perimeter of Cube is the total distance around the edge of the Cube.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter?

Circumsphere Radius of Cube given Perimeter evaluator uses Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24 to evaluate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Perimeter 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 perimeter of the Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Cube given Perimeter

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

The formula of Circumsphere Radius of Cube given Perimeter is expressed as Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24. Here is an example- 8.660254 = (sqrt(3)*120)/24.

How to calculate Circumsphere Radius of Cube given Perimeter?

With Perimeter of Cube (P) we can find Circumsphere Radius of Cube given Perimeter using the formula - Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24. This formula also uses Square Root (sqrt) 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 Perimeter be negative?

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

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

Circumsphere Radius of Cube given Perimeter 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 Perimeter can be measured.

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