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Circumsphere Radius of Cube 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}}{2} \cdot l e

r_c - Circumsphere Radius of Cube?l_e - Edge Length of Cube?

Circumsphere Radius of Cube Example

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

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

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

8.6603 = \frac{\sqrt{3}}{2} \cdot 10

8.6603m = \frac{\sqrt{3}}{2} \cdot 10m

8.6603 = \frac{\sqrt{3}}{2} \cdot 10

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Circumsphere Radius of Cube Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{3}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{3}}{2} \cdot 10

Next Step Evaluate

∴

r c = 8.66025403784439m

LAST Step Rounding Answer

∴

r c = 8.6603m

Circumsphere Radius of Cube 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

Edge Length of Cube

Edge Length of Cube is the length of any edge of a Cube.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 in Circumsphere Radius of Cube category

Go Circumscribed Cylinder Radius of Cube

r c(Cylinder) = \frac{l e}{\sqrt{2}}

Go Inscribed Cylinder Radius of Cube

r i(Cylinder) = \frac{l e}{2}

Go Midsphere Radius of Cube

r m = \frac{l e}{\sqrt{2}}

Go Insphere Radius of Cube

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

How to Evaluate Circumsphere Radius of Cube?

Circumsphere Radius of Cube evaluator uses Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube to evaluate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube 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. Circumsphere Radius of Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Cube

What is the formula to find Circumsphere Radius of Cube?

The formula of Circumsphere Radius of Cube is expressed as Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube. Here is an example- 8.660254 = sqrt(3)/2*10.

How to calculate Circumsphere Radius of Cube?

With Edge Length of Cube (l_e) we can find Circumsphere Radius of Cube using the formula - Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube. This formula also uses Square Root (sqrt) function(s).

Can the Circumsphere Radius of Cube be negative?

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

Which unit is used to measure Circumsphere Radius of Cube?

Circumsphere Radius of Cube 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 can be measured.

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