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Circumsphere Radius of Truncated Cube given Cubic Edge Length Formula

GoCircumsphere Radius of Truncated Cube 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 \frac{l e(Cube)}{1 + \sqrt{2}}

r_c - Circumsphere Radius of Truncated Cube?l_e(Cube) - Cubic Edge Length of Truncated Cube?

Circumsphere Radius of Truncated Cube given Cubic Edge Length Example

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Here is how the Circumsphere Radius of Truncated Cube given Cubic Edge Length equation looks like with Values.

Here is how the Circumsphere Radius of Truncated Cube given Cubic Edge Length equation looks like with Units.

Here is how the Circumsphere Radius of Truncated Cube given Cubic Edge Length equation looks like.

17.6835 = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot \frac{24}{1 + \sqrt{2}}

17.6835m = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot \frac{24m}{1 + \sqrt{2}}

17.6835 = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot \frac{24}{1 + \sqrt{2}}

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Circumsphere Radius of Truncated Cube given Cubic Edge Length Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Truncated Cube given Cubic Edge Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot \frac{24m}{1 + \sqrt{2}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot \frac{24}{1 + \sqrt{2}}

Next Step Evaluate

∴

r c = 17.6835090984948m

LAST Step Rounding Answer

∴

r c = 17.6835m

Circumsphere Radius of Truncated Cube given Cubic Edge Length 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

Cubic Edge Length of Truncated Cube

Cubic Edge Length of Truncated Cube is the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube.

Symbol: l_e(Cube)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cubic 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

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

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 given Cubic Edge Length?

Circumsphere Radius of Truncated Cube given Cubic Edge Length evaluator uses Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2)) to evaluate the Circumsphere Radius of Truncated Cube, The Circumsphere Radius of Truncated Cube given Cubic Edge Length 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, calculated using its cubic edge length. Circumsphere Radius of Truncated Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Cube given Cubic Edge Length

What is the formula to find Circumsphere Radius of Truncated Cube given Cubic Edge Length?

The formula of Circumsphere Radius of Truncated Cube given Cubic Edge Length is expressed as Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2)). Here is an example- 17.68351 = sqrt(7+(4*sqrt(2)))/2*24/(1+sqrt(2)).

How to calculate Circumsphere Radius of Truncated Cube given Cubic Edge Length?

With Cubic Edge Length of Truncated Cube (l_e(Cube)) we can find Circumsphere Radius of Truncated Cube given Cubic Edge Length using the formula - Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2)). 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*Edge Length of Truncated Cube

Can the Circumsphere Radius of Truncated Cube given Cubic Edge Length be negative?

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

Which unit is used to measure Circumsphere Radius of Truncated Cube given Cubic Edge Length?

Circumsphere Radius of Truncated Cube given Cubic Edge Length 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 given Cubic Edge Length can be measured.

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