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Circumsphere Radius of Truncated Cube Formula

GoCircumsphere Radius of Truncated Cube given Cubic Edge Length Formula

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Circumsphere Radius of Truncated Cube is the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot l e

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

Circumsphere Radius of Truncated Cube Example

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

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

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

17.7882 = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot 10

17.7882m = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot 10m

17.7882 = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot 10

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Circumsphere Radius of Truncated Cube Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot l e

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot 10

Next Step Evaluate

∴

r c = 17.7882364566392m

LAST Step Rounding Answer

∴

r c = 17.7882m

Circumsphere Radius of Truncated Cube Formula Elements

Variables

Functions

Circumsphere Radius of Truncated Cube

Circumsphere Radius of Truncated Cube is the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated Cube

Edge Length of Truncated Cube

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated 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 Truncated Cube

Go Circumsphere Radius of Truncated Cube given Cubic Edge Length

r c = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot \frac{l e(Cube)}{1 + \sqrt{2}}

Other formulas in Truncated Cube category

Go Total Surface Area of Truncated Cube

TSA = 2 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3}) \cdot {l e}^{2}

Go Volume of Truncated Cube

V = \frac{21 + (14 \cdot \sqrt{2})}{3} \cdot {l e}^{3}

Go Midsphere Radius of Truncated Cube

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

Go Surface to Volume Ratio of Truncated Cube

R A/V = \frac{6 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}{l e \cdot (21 + (14 \cdot \sqrt{2}))}

How to Evaluate Circumsphere Radius of Truncated Cube?

Circumsphere Radius of Truncated Cube evaluator uses Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube to evaluate the Circumsphere Radius of Truncated Cube, Circumsphere Radius of Truncated Cube formula is defined as the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Truncated Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Cube

What is the formula to find Circumsphere Radius of Truncated Cube?

The formula of Circumsphere Radius of Truncated Cube is expressed as Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube. Here is an example- 17.78824 = sqrt(7+(4*sqrt(2)))/2*10.

How to calculate Circumsphere Radius of Truncated Cube?

With Edge Length of Truncated Cube (l_e) we can find Circumsphere Radius of Truncated Cube using the formula - Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Truncated Cube?

Here are the different ways to Calculate Circumsphere Radius of Truncated Cube-

Circumsphere Radius of Truncated Cube=sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2))

Can the Circumsphere Radius of Truncated Cube be negative?

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

Which unit is used to measure Circumsphere Radius of Truncated Cube?

Circumsphere Radius of Truncated 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 Truncated Cube can be measured.

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