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Circumsphere Radius of Cube given Face 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}}{8} \cdot P Face

r_c - Circumsphere Radius of Cube?P_Face - Face Perimeter of Cube?

Circumsphere Radius of Cube given Face Perimeter Example

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

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

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

8.6603 = \frac{\sqrt{3}}{8} \cdot 40

8.6603m = \frac{\sqrt{3}}{8} \cdot 40m

8.6603 = \frac{\sqrt{3}}{8} \cdot 40

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Circumsphere Radius of Cube given Face Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{3}}{8} \cdot 40m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{3}}{8} \cdot 40

Next Step Evaluate

∴

r c = 8.66025403784439m

LAST Step Rounding Answer

∴

r c = 8.6603m

Circumsphere Radius of Cube given Face 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

Face Perimeter of Cube

Face Perimeter of Cube is the total distance around the four edges of any face of the Cube.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face 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 Volume

r c = \frac{\sqrt{3}}{2} \cdot V^{\frac{1}{3}}

How to Evaluate Circumsphere Radius of Cube given Face Perimeter?

Circumsphere Radius of Cube given Face Perimeter evaluator uses Circumsphere Radius of Cube = sqrt(3)/8*Face Perimeter of Cube to evaluate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Face 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 face perimeter of Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Cube given Face Perimeter

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

The formula of Circumsphere Radius of Cube given Face Perimeter is expressed as Circumsphere Radius of Cube = sqrt(3)/8*Face Perimeter of Cube. Here is an example- 8.660254 = sqrt(3)/8*40.

How to calculate Circumsphere Radius of Cube given Face Perimeter?

With Face Perimeter of Cube (P_Face) we can find Circumsphere Radius of Cube given Face Perimeter using the formula - Circumsphere Radius of Cube = sqrt(3)/8*Face Perimeter of Cube. 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 Face Perimeter be negative?

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

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

Circumsphere Radius of Cube given Face 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 Face Perimeter can be measured.

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