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Circumsphere Radius of Cube given Volume 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}}{2} \cdot V^{\frac{1}{3}}

r_c - Circumsphere Radius of Cube?V - Volume of Cube?

Circumsphere Radius of Cube given Volume Example

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

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

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

8.6603 = \frac{\sqrt{3}}{2} \cdot 1000^{\frac{1}{3}}

8.6603m = \frac{\sqrt{3}}{2} \cdot {1000m³}^{\frac{1}{3}}

8.6603 = \frac{\sqrt{3}}{2} \cdot 1000^{\frac{1}{3}}

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Circumsphere Radius of Cube given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{3}}{2} \cdot {1000m³}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{3}}{2} \cdot 1000^{\frac{1}{3}}

Next Step Evaluate

∴

r c = 8.66025403784438m

LAST Step Rounding Answer

∴

r c = 8.6603m

Circumsphere Radius of Cube given Volume 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

Volume of Cube

Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

Circumsphere Radius of Cube given Volume evaluator uses Circumsphere Radius of Cube = sqrt(3)/2*Volume of Cube^(1/3) to evaluate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Volume 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 volume of Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Cube given Volume

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

The formula of Circumsphere Radius of Cube given Volume is expressed as Circumsphere Radius of Cube = sqrt(3)/2*Volume of Cube^(1/3). Here is an example- 8.660254 = sqrt(3)/2*1000^(1/3).

How to calculate Circumsphere Radius of Cube given Volume?

With Volume of Cube (V) we can find Circumsphere Radius of Cube given Volume using the formula - Circumsphere Radius of Cube = sqrt(3)/2*Volume of Cube^(1/3). 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 Volume be negative?

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

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

Circumsphere Radius of Cube given Volume 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 Volume can be measured.

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