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Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius Formula

GoTriangular Edge Length of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoTriangular Edge Length of Truncated Rhombohedron Formula

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Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron. Check FAQs

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})

l_e(Triangle) - Triangular Edge Length of Truncated Rhombohedron?r_c - Circumsphere Radius of Truncated Rhombohedron?

Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius Example

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Here is how the Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius equation looks like with Values.

Here is how the Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius equation looks like with Units.

Here is how the Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius equation looks like.

18.8301 = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}})

18.8301m = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{4 \cdot 20m}{\sqrt{14 - (2 \cdot \sqrt{5})}})

18.8301 = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}})

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3D Geometry » fx Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius

Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius?

FIRST Step Consider the formula

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})

Next Step Substitute values of Variables

∴

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{4 \cdot 20m}{\sqrt{14 - (2 \cdot \sqrt{5})}})

Next Step Prepare to Evaluate

∴

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}})

Next Step Evaluate

∴

l e(Triangle) = 18.8301271226374m

LAST Step Rounding Answer

∴

l e(Triangle) = 18.8301m

Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius Formula Elements

Variables

Functions

Triangular Edge Length of Truncated Rhombohedron

Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.

Symbol: l_e(Triangle)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Triangular Edge Length of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron is the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated Rhombohedron

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 Triangular Edge Length of Truncated Rhombohedron

Go Triangular Edge Length of Truncated Rhombohedron given Rhombohedral Edge Length

l e(Triangle) = l e(Rhombohedron) \cdot (\sqrt{5 - (2 \cdot \sqrt{5})})

Go Triangular Edge Length of Truncated Rhombohedron

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\frac{2 \cdot l e}{3 - \sqrt{5}})

Go Triangular Edge Length of Truncated Rhombohedron given Total Surface Area

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\sqrt{\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

Go Triangular Edge Length of Truncated Rhombohedron given Area of Pentagon

l e(Triangle) = \sqrt{\frac{4 \cdot A Pentagon}{\sqrt{5 + 2 \cdot \sqrt{5}}} \cdot (5 - 2 \cdot \sqrt{5})}

How to Evaluate Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius?

Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius evaluator uses Triangular Edge Length of Truncated Rhombohedron = (sqrt(5-(2*sqrt(5))))*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5))))) to evaluate the Triangular Edge Length of Truncated Rhombohedron, Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius formula is defined as the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron, calculated using its circumsphere radius. Triangular Edge Length of Truncated Rhombohedron is denoted by l_e(Triangle) symbol.

How to evaluate Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius using this online evaluator? To use this online evaluator for Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Rhombohedron (r_c) and hit the calculate button.

FAQs on Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius

What is the formula to find Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius?

The formula of Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius is expressed as Triangular Edge Length of Truncated Rhombohedron = (sqrt(5-(2*sqrt(5))))*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5))))). Here is an example- 18.83013 = (sqrt(5-(2*sqrt(5))))*((4*20)/(sqrt(14-(2*sqrt(5))))).

How to calculate Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius?

With Circumsphere Radius of Truncated Rhombohedron (r_c) we can find Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius using the formula - Triangular Edge Length of Truncated Rhombohedron = (sqrt(5-(2*sqrt(5))))*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

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

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

Triangular Edge Length of Truncated Rhombohedron=Rhombohedral Edge Length of Truncated Rhombohedron*(sqrt(5-(2*sqrt(5))))
Triangular Edge Length of Truncated Rhombohedron=(sqrt(5-(2*sqrt(5))))*((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))
Triangular Edge Length of Truncated Rhombohedron=(sqrt(5-(2*sqrt(5))))*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))))

Can the Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius be negative?

No, the Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Triangular Edge Length of Truncated Rhombohedron given Circumsphere Radius?

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

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