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Midsphere Radius of Truncated Cube given Cubic Edge Length Formula

GoMidsphere Radius of Truncated Cube Formula

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Midsphere Radius of Truncated Cube is the radius of the sphere for which all the edges of the Truncated Cube become a tangent line on that sphere. Check FAQs

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

r_m - Midsphere Radius of Truncated Cube?l_e(Cube) - Cubic Edge Length of Truncated Cube?

Midsphere Radius of Truncated Cube given Cubic Edge Length Example

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

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

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

16.9706 = \frac{2 + \sqrt{2}}{2} \cdot \frac{24}{1 + \sqrt{2}}

16.9706m = \frac{2 + \sqrt{2}}{2} \cdot \frac{24m}{1 + \sqrt{2}}

16.9706 = \frac{2 + \sqrt{2}}{2} \cdot \frac{24}{1 + \sqrt{2}}

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Midsphere Radius of Truncated Cube given Cubic Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{2 + \sqrt{2}}{2} \cdot \frac{24m}{1 + \sqrt{2}}

Next Step Prepare to Evaluate

∴

r m = \frac{2 + \sqrt{2}}{2} \cdot \frac{24}{1 + \sqrt{2}}

Next Step Evaluate

∴

r m = 16.9705627484771m

LAST Step Rounding Answer

∴

r m = 16.9706m

Midsphere Radius of Truncated Cube given Cubic Edge Length Formula Elements

Variables

Functions

Midsphere Radius of Truncated Cube

Midsphere Radius of Truncated Cube is the radius of the sphere for which all the edges of the Truncated Cube become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Midsphere Radius of Truncated Cube

Go Midsphere Radius of Truncated Cube

r m = \frac{2 + \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 Circumsphere Radius of Truncated Cube

r c = \frac{\sqrt{7 + (4 \cdot \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 Midsphere Radius of Truncated Cube given Cubic Edge Length?

Midsphere Radius of Truncated Cube given Cubic Edge Length evaluator uses Midsphere Radius of Truncated Cube = (2+sqrt(2))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2)) to evaluate the Midsphere Radius of Truncated Cube, The Midsphere Radius of Truncated Cube given Cubic Edge Length formula is defined as the radius of the sphere for which all the edges of the Truncated Cube become a tangent line on that sphere, calculated using its cubic edge length. Midsphere Radius of Truncated Cube is denoted by r_m symbol.

How to evaluate Midsphere Radius of Truncated Cube given Cubic Edge Length using this online evaluator? To use this online evaluator for Midsphere 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 Midsphere Radius of Truncated Cube given Cubic Edge Length

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

The formula of Midsphere Radius of Truncated Cube given Cubic Edge Length is expressed as Midsphere Radius of Truncated Cube = (2+sqrt(2))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2)). Here is an example- 16.97056 = (2+sqrt(2))/2*24/(1+sqrt(2)).

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

With Cubic Edge Length of Truncated Cube (l_e(Cube)) we can find Midsphere Radius of Truncated Cube given Cubic Edge Length using the formula - Midsphere Radius of Truncated Cube = (2+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 Midsphere Radius of Truncated Cube?

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

Midsphere Radius of Truncated Cube=(2+sqrt(2))/2*Edge Length of Truncated Cube

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

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

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

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

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