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Circumsphere Radius of Cube given Space Diagonal 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{d Space}{2}

r_c - Circumsphere Radius of Cube?d_Space - Space Diagonal of Cube?

Circumsphere Radius of Cube given Space Diagonal Example

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

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

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

8.5 = \frac{17}{2}

8.5m = \frac{17m}{2}

8.5 = \frac{17}{2}

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Circumsphere Radius of Cube given Space Diagonal Solution

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

FIRST Step Consider the formula

r c = \frac{d Space}{2}

Next Step Substitute values of Variables

∴

r c = \frac{17m}{2}

Next Step Prepare to Evaluate

∴

r c = \frac{17}{2}

LAST Step Evaluate

∴

r c = 8.5m

Circumsphere Radius of Cube given Space Diagonal Formula Elements

Variables

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

Space Diagonal of Cube

Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Cube

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 Space Diagonal?

Circumsphere Radius of Cube given Space Diagonal evaluator uses Circumsphere Radius of Cube = Space Diagonal of Cube/2 to evaluate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Space Diagonal 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 space diagonal of Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Cube given Space Diagonal

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

The formula of Circumsphere Radius of Cube given Space Diagonal is expressed as Circumsphere Radius of Cube = Space Diagonal of Cube/2. Here is an example- 8.5 = 17/2.

How to calculate Circumsphere Radius of Cube given Space Diagonal?

With Space Diagonal of Cube (d_Space) we can find Circumsphere Radius of Cube given Space Diagonal using the formula - Circumsphere Radius of Cube = Space Diagonal of Cube/2.

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 Space Diagonal be negative?

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

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

Circumsphere Radius of Cube given Space Diagonal 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 Space Diagonal can be measured.

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