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Edge Length of Truncated Cube given Midsphere Radius Formula

GoEdge Length of Truncated Cube given Cubic Edge Length Formula

GoEdge Length of Truncated Cube given Total Surface Area Formula

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

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

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

Edge Length of Truncated Cube given Midsphere Radius Example

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

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

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

9.9584 = \frac{2 \cdot 17}{2 + \sqrt{2}}

9.9584m = \frac{2 \cdot 17m}{2 + \sqrt{2}}

9.9584 = \frac{2 \cdot 17}{2 + \sqrt{2}}

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Edge Length of Truncated Cube given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 17m}{2 + \sqrt{2}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 17}{2 + \sqrt{2}}

Next Step Evaluate

∴

l e = 9.95836943965739m

LAST Step Rounding Answer

∴

l e = 9.9584m

Edge Length of Truncated Cube given Midsphere Radius Formula Elements

Variables

Functions

Edge Length of Truncated Cube

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated Cube

Midsphere Radius of Truncated Cube

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

Go Edge Length of Truncated Cube given Cubic Edge Length

l e = \frac{l e(Cube)}{1 + \sqrt{2}}

Go Edge Length of Truncated Cube given Total Surface Area

l e = \sqrt{\frac{TSA}{2 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}}

Go Edge Length of Truncated Cube given Volume

l e = {(\frac{3 \cdot V}{21 + (14 \cdot \sqrt{2})})}^{\frac{1}{3}}

Other formulas in Edge Length of Truncated Cube category

Go Cubic Edge Length of Truncated Cube

l e(Cube) = l e \cdot (1 + \sqrt{2})

Go Cubic Edge Length of Truncated Cube given Midsphere Radius

l e(Cube) = \frac{2 \cdot r m}{2 + \sqrt{2}} \cdot (1 + \sqrt{2})

Go Cubic Edge Length of Truncated Cube given Total Surface Area

l e(Cube) = \sqrt{\frac{TSA}{2 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}} \cdot (1 + \sqrt{2})

Go Cubic Edge Length of Truncated Cube given Volume

l e(Cube) = {(\frac{3 \cdot V}{21 + (14 \cdot \sqrt{2})})}^{\frac{1}{3}} \cdot (1 + \sqrt{2})

How to Evaluate Edge Length of Truncated Cube given Midsphere Radius?

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

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

FAQs on Edge Length of Truncated Cube given Midsphere Radius

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

The formula of Edge Length of Truncated Cube given Midsphere Radius is expressed as Edge Length of Truncated Cube = (2*Midsphere Radius of Truncated Cube)/(2+sqrt(2)). Here is an example- 9.958369 = (2*17)/(2+sqrt(2)).

How to calculate Edge Length of Truncated Cube given Midsphere Radius?

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

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

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

Edge Length of Truncated Cube=Cubic Edge Length of Truncated Cube/(1+sqrt(2))
Edge Length of Truncated Cube=sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3))))
Edge Length of Truncated Cube=((3*Volume of Truncated Cube)/(21+(14*sqrt(2))))^(1/3)

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

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

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

Edge Length of Truncated 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 Truncated Cube given Midsphere Radius can be measured.

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