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Circumsphere Radius of Cube given Face 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{\sqrt{3}}{2 \cdot \sqrt{2}} \cdot d Face

r_c - Circumsphere Radius of Cube?d_Face - Face Diagonal of Cube?

Circumsphere Radius of Cube given Face Diagonal Example

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

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

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

8.5732 = \frac{\sqrt{3}}{2 \cdot \sqrt{2}} \cdot 14

8.5732m = \frac{\sqrt{3}}{2 \cdot \sqrt{2}} \cdot 14m

8.5732 = \frac{\sqrt{3}}{2 \cdot \sqrt{2}} \cdot 14

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Circumsphere Radius of Cube given Face Diagonal Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{3}}{2 \cdot \sqrt{2}} \cdot d Face

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{3}}{2 \cdot \sqrt{2}} \cdot 14m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{3}}{2 \cdot \sqrt{2}} \cdot 14

Next Step Evaluate

∴

r c = 8.57321409974112m

LAST Step Rounding Answer

∴

r c = 8.5732m

Circumsphere Radius of Cube given Face Diagonal 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 Diagonal of Cube

Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.

Symbol: d_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Diagonal 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 Perimeter

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

Circumsphere Radius of Cube given Face Diagonal evaluator uses Circumsphere Radius of Cube = sqrt(3)/(2*sqrt(2))*Face Diagonal of Cube to evaluate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Face 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 face diagonal of Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Cube given Face Diagonal

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

The formula of Circumsphere Radius of Cube given Face Diagonal is expressed as Circumsphere Radius of Cube = sqrt(3)/(2*sqrt(2))*Face Diagonal of Cube. Here is an example- 8.573214 = sqrt(3)/(2*sqrt(2))*14.

How to calculate Circumsphere Radius of Cube given Face Diagonal?

With Face Diagonal of Cube (d_Face) we can find Circumsphere Radius of Cube given Face Diagonal using the formula - Circumsphere Radius of Cube = sqrt(3)/(2*sqrt(2))*Face Diagonal 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)/8*Face Perimeter of Cube

Can the Circumsphere Radius of Cube given Face Diagonal be negative?

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

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

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

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