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Circumsphere Radius of Cube given Lateral Surface Area Formula

GoCircumsphere Radius of Cube Formula

GoCircumsphere Radius of Cube given Face Area Formula

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Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere. Check FAQs

r c = \frac{\sqrt{3 \cdot LSA}}{4}

r_c - Circumsphere Radius of Cube?LSA - Lateral Surface Area of Cube?

Circumsphere Radius of Cube given Lateral Surface Area Example

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

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

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

8.6603 = \frac{\sqrt{3 \cdot 400}}{4}

8.6603m = \frac{\sqrt{3 \cdot 400m²}}{4}

8.6603 = \frac{\sqrt{3 \cdot 400}}{4}

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Circumsphere Radius of Cube given Lateral Surface Area Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{3 \cdot LSA}}{4}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{3 \cdot 400m²}}{4}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{3 \cdot 400}}{4}

Next Step Evaluate

∴

r c = 8.66025403784439m

LAST Step Rounding Answer

∴

r c = 8.6603m

Circumsphere Radius of Cube given Lateral Surface Area Formula Elements

Variables

Functions

Circumsphere Radius of Cube

Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere 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 Circumsphere Radius of Cube

Go Circumsphere Radius of Cube

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

Go Circumsphere Radius of Cube given Face Area

r c = \frac{\sqrt{3 \cdot A Face}}{2}

Go Circumsphere Radius of Cube given Face Diagonal

r c = \frac{\sqrt{3}}{2 \cdot \sqrt{2}} \cdot d Face

Go Circumsphere Radius of Cube given Face Perimeter

r c = \frac{\sqrt{3}}{8} \cdot P Face

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

Circumsphere Radius of Cube given Lateral Surface Area evaluator uses Circumsphere Radius of Cube = sqrt(3*Lateral Surface Area of Cube)/4 to evaluate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Lateral Surface Area formula is defined as the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere, and calculated using the lateral surface area of Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Cube given Lateral Surface Area

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

The formula of Circumsphere Radius of Cube given Lateral Surface Area is expressed as Circumsphere Radius of Cube = sqrt(3*Lateral Surface Area of Cube)/4. Here is an example- 8.660254 = sqrt(3*400)/4.

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

With Lateral Surface Area of Cube (LSA) we can find Circumsphere Radius of Cube given Lateral Surface Area using the formula - Circumsphere Radius of Cube = sqrt(3*Lateral Surface Area of Cube)/4. This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Cube=sqrt(3)/2*Edge Length of Cube
Circumsphere Radius of Cube=sqrt(3*Face Area of Cube)/2
Circumsphere Radius of Cube=sqrt(3)/(2*sqrt(2))*Face Diagonal of Cube

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

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

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

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

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