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Midsphere Radius of Cube given Lateral Surface Area Formula

GoMidsphere Radius of Cube Formula

GoMidsphere Radius of Cube given Face Area 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{1}{2} \cdot \sqrt{\frac{LSA}{2}}

r_m - Midsphere Radius of Cube?LSA - Lateral Surface Area of Cube?

Midsphere Radius of Cube given Lateral Surface Area Example

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Here is how the Midsphere Radius of Cube given Lateral Surface Area equation looks like with Values.

Here is how the Midsphere Radius of Cube given Lateral Surface Area equation looks like with Units.

Here is how the Midsphere Radius of Cube given Lateral Surface Area equation looks like.

7.0711 = \frac{1}{2} \cdot \sqrt{\frac{400}{2}}

7.0711m = \frac{1}{2} \cdot \sqrt{\frac{400m²}{2}}

7.0711 = \frac{1}{2} \cdot \sqrt{\frac{400}{2}}

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Midsphere Radius of Cube given Lateral Surface Area Solution

Follow our step by step solution on how to calculate Midsphere Radius of Cube given Lateral Surface Area?

FIRST Step Consider the formula

r m = \frac{1}{2} \cdot \sqrt{\frac{LSA}{2}}

Next Step Substitute values of Variables

∴

r m = \frac{1}{2} \cdot \sqrt{\frac{400m²}{2}}

Next Step Prepare to Evaluate

∴

r m = \frac{1}{2} \cdot \sqrt{\frac{400}{2}}

Next Step Evaluate

∴

r m = 7.07106781186548m

LAST Step Rounding Answer

∴

r m = 7.0711m

Midsphere Radius of Cube given Lateral Surface Area 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

Lateral Surface Area of Cube

Lateral Surface Area of Cube is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area 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 to find Midsphere Radius of Cube

Go Midsphere Radius of Cube

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

Go Midsphere Radius of Cube given Face Area

r m = \sqrt{\frac{A Face}{2}}

Go Midsphere Radius of Cube given Face Diagonal

r m = \frac{d Face}{2}

Go Midsphere Radius of Cube given Face Perimeter

r m = \frac{P Face}{4 \cdot \sqrt{2}}

How to Evaluate Midsphere Radius of Cube given Lateral Surface Area?

Midsphere Radius of Cube given Lateral Surface Area evaluator uses Midsphere Radius of Cube = 1/2*sqrt((Lateral Surface Area of Cube)/2) to evaluate the Midsphere Radius of Cube, The Midsphere Radius of Cube given Lateral Surface Area formula is defined as the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere, and calculated using the lateral surface area of the Cube. Midsphere Radius of Cube is denoted by r_m symbol.

How to evaluate Midsphere Radius of Cube given Lateral Surface Area using this online evaluator? To use this online evaluator for Midsphere Radius of Cube given Lateral Surface Area, enter Lateral Surface Area of Cube (LSA) and hit the calculate button.

FAQs on Midsphere Radius of Cube given Lateral Surface Area

What is the formula to find Midsphere Radius of Cube given Lateral Surface Area?

The formula of Midsphere Radius of Cube given Lateral Surface Area is expressed as Midsphere Radius of Cube = 1/2*sqrt((Lateral Surface Area of Cube)/2). Here is an example- 7.071068 = 1/2*sqrt((400)/2).

How to calculate Midsphere Radius of Cube given Lateral Surface Area?

With Lateral Surface Area of Cube (LSA) we can find Midsphere Radius of Cube given Lateral Surface Area using the formula - Midsphere Radius of Cube = 1/2*sqrt((Lateral Surface Area of Cube)/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Cube?

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

Midsphere Radius of Cube=Edge Length of Cube/sqrt(2)
Midsphere Radius of Cube=sqrt(Face Area of Cube/2)
Midsphere Radius of Cube=Face Diagonal of Cube/2

Can the Midsphere Radius of Cube given Lateral Surface Area be negative?

No, the Midsphere Radius of Cube given Lateral Surface Area, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Cube given Lateral Surface Area?

Midsphere Radius of Cube given Lateral Surface Area 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 given Lateral Surface Area can be measured.

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