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Midsphere Radius of Cube Formula

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

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

r_m - Midsphere Radius of Cube?l_e - Edge Length of Cube?

Midsphere Radius of Cube Example

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

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

Here is how the Midsphere Radius of Cube equation looks like.

7.0711 = \frac{10}{\sqrt{2}}

7.0711m = \frac{10m}{\sqrt{2}}

7.0711 = \frac{10}{\sqrt{2}}

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Midsphere Radius of Cube Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{10m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

r m = \frac{10}{\sqrt{2}}

Next Step Evaluate

∴

r m = 7.07106781186547m

LAST Step Rounding Answer

∴

r m = 7.0711m

Midsphere Radius of Cube Formula Elements

Variables

Functions

Midsphere Radius of Cube

Midsphere Radius of Cube is the radius of the sphere for which all the edges of the 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 Cube

Edge Length of Cube

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of 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 in Midsphere Radius of Cube category

Go Circumscribed Cylinder Radius of Cube

r c(Cylinder) = \frac{l e}{\sqrt{2}}

Go Circumsphere Radius of Cube

r c = \frac{\sqrt{3}}{2} \cdot l e

Go Inscribed Cylinder Radius of Cube

r i(Cylinder) = \frac{l e}{2}

Go Insphere Radius of Cube

r i = \frac{l e}{2}

How to Evaluate Midsphere Radius of Cube?

Midsphere Radius of Cube evaluator uses Midsphere Radius of Cube = Edge Length of Cube/sqrt(2) to evaluate the Midsphere Radius of Cube, The Midsphere Radius of Cube formula is defined as the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere. Midsphere Radius of Cube is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Cube

What is the formula to find Midsphere Radius of Cube?

The formula of Midsphere Radius of Cube is expressed as Midsphere Radius of Cube = Edge Length of Cube/sqrt(2). Here is an example- 7.071068 = 10/sqrt(2).

How to calculate Midsphere Radius of Cube?

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

Can the Midsphere Radius of Cube be negative?

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

Which unit is used to measure Midsphere Radius of Cube?

Midsphere Radius of Cube 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 Cube can be measured.

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