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Edge Length of Cube given Midsphere Radius Formula

GoEdge Length of Cube given Total Surface Area Formula

GoEdge Length of Cube given Lateral Surface Area Formula

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

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

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

Edge Length of Cube given Midsphere Radius Example

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

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

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

9.8995 = \sqrt{2} \cdot 7

9.8995m = \sqrt{2} \cdot 7m

9.8995 = \sqrt{2} \cdot 7

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Edge Length of Cube given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \sqrt{2} \cdot 7m

Next Step Prepare to Evaluate

∴

l e = \sqrt{2} \cdot 7

Next Step Evaluate

∴

l e = 9.89949493661167m

LAST Step Rounding Answer

∴

l e = 9.8995m

Edge Length of Cube given Midsphere Radius Formula Elements

Variables

Functions

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

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

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 Edge Length of Cube

Go Edge Length of Cube given Total Surface Area

l e = \sqrt{\frac{TSA}{6}}

Go Edge Length of Cube given Lateral Surface Area

l e = \sqrt{\frac{LSA}{4}}

Go Edge Length of Cube given Space Diagonal

l e = \frac{d Space}{\sqrt{3}}

Go Edge Length of Cube given Face Diagonal

l e = \frac{d Face}{\sqrt{2}}

How to Evaluate Edge Length of Cube given Midsphere Radius?

Edge Length of Cube given Midsphere Radius evaluator uses Edge Length of Cube = sqrt(2)*Midsphere Radius of Cube to evaluate the Edge Length of Cube, The Edge Length of Cube given Midsphere Radius formula is defined as the length of any edge of the Cube, and calculated using the midsphere radius of the Cube. Edge Length of Cube is denoted by l_e symbol.

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

FAQs on Edge Length of Cube given Midsphere Radius

What is the formula to find Edge Length of Cube given Midsphere Radius?

The formula of Edge Length of Cube given Midsphere Radius is expressed as Edge Length of Cube = sqrt(2)*Midsphere Radius of Cube. Here is an example- 9.899495 = sqrt(2)*7.

How to calculate Edge Length of Cube given Midsphere Radius?

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

What are the other ways to Calculate Edge Length of Cube?

Here are the different ways to Calculate Edge Length of Cube-

Edge Length of Cube=sqrt(Total Surface Area of Cube/6)
Edge Length of Cube=sqrt(Lateral Surface Area of Cube/4)
Edge Length of Cube=Space Diagonal of Cube/(sqrt(3))

Can the Edge Length of Cube given Midsphere Radius be negative?

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

Which unit is used to measure Edge Length of Cube given Midsphere Radius?

Edge Length of Cube given Midsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Cube given Midsphere Radius can be measured.

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