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Midsphere Radius of Tetrakis Hexahedron given Insphere Radius Formula

GoMidsphere Radius of Tetrakis Hexahedron Formula

GoMidsphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio Formula

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

r m = \frac{1}{\sqrt{2}} \cdot (\frac{10 \cdot r i}{3 \cdot \sqrt{5}})

r_m - Midsphere Radius of Tetrakis Hexahedron?r_i - Insphere Radius of Tetrakis Hexahedron?

Midsphere Radius of Tetrakis Hexahedron given Insphere Radius Example

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Here is how the Midsphere Radius of Tetrakis Hexahedron given Insphere Radius equation looks like with Values.

Here is how the Midsphere Radius of Tetrakis Hexahedron given Insphere Radius equation looks like with Units.

Here is how the Midsphere Radius of Tetrakis Hexahedron given Insphere Radius equation looks like.

6.3246 = \frac{1}{\sqrt{2}} \cdot (\frac{10 \cdot 6}{3 \cdot \sqrt{5}})

6.3246m = \frac{1}{\sqrt{2}} \cdot (\frac{10 \cdot 6m}{3 \cdot \sqrt{5}})

6.3246 = \frac{1}{\sqrt{2}} \cdot (\frac{10 \cdot 6}{3 \cdot \sqrt{5}})

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Midsphere Radius of Tetrakis Hexahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Midsphere Radius of Tetrakis Hexahedron given Insphere Radius?

FIRST Step Consider the formula

r m = \frac{1}{\sqrt{2}} \cdot (\frac{10 \cdot r i}{3 \cdot \sqrt{5}})

Next Step Substitute values of Variables

∴

r m = \frac{1}{\sqrt{2}} \cdot (\frac{10 \cdot 6m}{3 \cdot \sqrt{5}})

Next Step Prepare to Evaluate

∴

r m = \frac{1}{\sqrt{2}} \cdot (\frac{10 \cdot 6}{3 \cdot \sqrt{5}})

Next Step Evaluate

∴

r m = 6.32455532033676m

LAST Step Rounding Answer

∴

r m = 6.3246m

Midsphere Radius of Tetrakis Hexahedron given Insphere Radius Formula Elements

Variables

Functions

Midsphere Radius of Tetrakis Hexahedron

Midsphere Radius of Tetrakis Hexahedron is the radius of the sphere for which all the edges of the Tetrakis Hexahedron 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 Tetrakis Hexahedron

Insphere Radius of Tetrakis Hexahedron

Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Tetrakis Hexahedron

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 Tetrakis Hexahedron

Go Midsphere Radius of Tetrakis Hexahedron

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

Go Midsphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio

r m = \frac{1}{\sqrt{2}} \cdot (\frac{2 \cdot \sqrt{5}}{R A/V})

Go Midsphere Radius of Tetrakis Hexahedron given Volume

r m = \frac{1}{\sqrt{2}} \cdot {(\frac{2 \cdot V}{3})}^{\frac{1}{3}}

Go Midsphere Radius of Tetrakis Hexahedron given Total Surface Area

r m = \frac{1}{\sqrt{2}} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{5}}}

How to Evaluate Midsphere Radius of Tetrakis Hexahedron given Insphere Radius?

Midsphere Radius of Tetrakis Hexahedron given Insphere Radius evaluator uses Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5))) to evaluate the Midsphere Radius of Tetrakis Hexahedron, Midsphere Radius of Tetrakis Hexahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Tetrakis Hexahedron become a tangent line on that sphere, calculated using insphere radius of Tetrakis Hexahedron. Midsphere Radius of Tetrakis Hexahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Tetrakis Hexahedron given Insphere Radius using this online evaluator? To use this online evaluator for Midsphere Radius of Tetrakis Hexahedron given Insphere Radius, enter Insphere Radius of Tetrakis Hexahedron (r_i) and hit the calculate button.

FAQs on Midsphere Radius of Tetrakis Hexahedron given Insphere Radius

What is the formula to find Midsphere Radius of Tetrakis Hexahedron given Insphere Radius?

The formula of Midsphere Radius of Tetrakis Hexahedron given Insphere Radius is expressed as Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5))). Here is an example- 6.324555 = 1/sqrt(2)*((10*6)/(3*sqrt(5))).

How to calculate Midsphere Radius of Tetrakis Hexahedron given Insphere Radius?

With Insphere Radius of Tetrakis Hexahedron (r_i) we can find Midsphere Radius of Tetrakis Hexahedron given Insphere Radius using the formula - Midsphere Radius of Tetrakis Hexahedron = 1/sqrt(2)*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Tetrakis Hexahedron?

Here are the different ways to Calculate Midsphere Radius of Tetrakis Hexahedron-

Midsphere Radius of Tetrakis Hexahedron=Cubical Edge Length of Tetrakis Hexahedron/sqrt(2)
Midsphere Radius of Tetrakis Hexahedron=1/sqrt(2)*((2*sqrt(5))/(Surface to Volume Ratio of Tetrakis Hexahedron))
Midsphere Radius of Tetrakis Hexahedron=1/sqrt(2)*((2*Volume of Tetrakis Hexahedron)/3)^(1/3)

Can the Midsphere Radius of Tetrakis Hexahedron given Insphere Radius be negative?

No, the Midsphere Radius of Tetrakis Hexahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Tetrakis Hexahedron given Insphere Radius?

Midsphere Radius of Tetrakis Hexahedron given Insphere Radius 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 Tetrakis Hexahedron given Insphere Radius can be measured.

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