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Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length 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{4}{3} \cdot (\frac{l e(Pyramid)}{\sqrt{2}})

r_m - Midsphere Radius of Tetrakis Hexahedron?l_e(Pyramid) - Pyramidal Edge Length of Tetrakis Hexahedron?

Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length Example

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

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

Here is how the Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length equation looks like.

7.5425 = \frac{4}{3} \cdot (\frac{8}{\sqrt{2}})

7.5425m = \frac{4}{3} \cdot (\frac{8m}{\sqrt{2}})

7.5425 = \frac{4}{3} \cdot (\frac{8}{\sqrt{2}})

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Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length Solution

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

FIRST Step Consider the formula

r m = \frac{4}{3} \cdot (\frac{l e(Pyramid)}{\sqrt{2}})

Next Step Substitute values of Variables

∴

r m = \frac{4}{3} \cdot (\frac{8m}{\sqrt{2}})

Next Step Prepare to Evaluate

∴

r m = \frac{4}{3} \cdot (\frac{8}{\sqrt{2}})

Next Step Evaluate

∴

r m = 7.54247233265651m

LAST Step Rounding Answer

∴

r m = 7.5425m

Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length 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

Pyramidal Edge Length of Tetrakis Hexahedron

Pyramidal Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron.

Symbol: l_e(Pyramid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Edge Length 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 Insphere Radius

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

Go Midsphere Radius of Tetrakis Hexahedron given Volume

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

How to Evaluate Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length?

Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length evaluator uses Midsphere Radius of Tetrakis Hexahedron = 4/3*(Pyramidal Edge Length of Tetrakis Hexahedron/sqrt(2)) to evaluate the Midsphere Radius of Tetrakis Hexahedron, Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length 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 pyramidal edge length of Tetrakis Hexahedron. Midsphere Radius of Tetrakis Hexahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length using this online evaluator? To use this online evaluator for Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Tetrakis Hexahedron (l_e(Pyramid)) and hit the calculate button.

FAQs on Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length

What is the formula to find Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length?

The formula of Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length is expressed as Midsphere Radius of Tetrakis Hexahedron = 4/3*(Pyramidal Edge Length of Tetrakis Hexahedron/sqrt(2)). Here is an example- 7.542472 = 4/3*(8/sqrt(2)).

How to calculate Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length?

With Pyramidal Edge Length of Tetrakis Hexahedron (l_e(Pyramid)) we can find Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length using the formula - Midsphere Radius of Tetrakis Hexahedron = 4/3*(Pyramidal Edge Length of Tetrakis Hexahedron/sqrt(2)). This formula also uses Square Root Function 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)*((10*Insphere Radius of Tetrakis Hexahedron)/(3*sqrt(5)))

Can the Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length be negative?

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

Which unit is used to measure Midsphere Radius of Tetrakis Hexahedron given Pyramidal Edge Length?

Midsphere Radius of Tetrakis Hexahedron given Pyramidal 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 Tetrakis Hexahedron given Pyramidal Edge Length can be measured.

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