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Triangular Edge Length of Truncated Rhombohedron given Total Surface Area 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 (\sqrt{\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

l_e(Triangle) - Triangular Edge Length of Truncated Rhombohedron?TSA - Total Surface Area of Truncated Rhombohedron?

Triangular Edge Length of Truncated Rhombohedron given Total Surface Area Example

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Here is how the Triangular Edge Length of Truncated Rhombohedron given Total Surface Area equation looks like with Values.

Here is how the Triangular Edge Length of Truncated Rhombohedron given Total Surface Area equation looks like with Units.

Here is how the Triangular Edge Length of Truncated Rhombohedron given Total Surface Area equation looks like.

19.0824 = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\sqrt{\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

19.0824m = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\sqrt{\frac{2 \cdot 3500m²}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

19.0824 = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\sqrt{\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

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Triangular Edge Length of Truncated Rhombohedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Triangular Edge Length of Truncated Rhombohedron given Total Surface Area?

FIRST Step Consider the formula

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})}})

Next Step Substitute values of Variables

∴

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\sqrt{\frac{2 \cdot 3500m²}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

Next Step Prepare to Evaluate

∴

l e(Triangle) = (\sqrt{5 - (2 \cdot \sqrt{5})}) \cdot (\sqrt{\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

Next Step Evaluate

∴

l e(Triangle) = 19.0824440774464m

LAST Step Rounding Answer

∴

l e(Triangle) = 19.0824m

Triangular Edge Length of Truncated Rhombohedron given Total Surface Area 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

Total Surface Area of Truncated Rhombohedron

Total Surface Area of Truncated Rhombohedron is the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Circumsphere Radius

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

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 Total Surface Area?

Triangular Edge Length of Truncated Rhombohedron given Total Surface Area evaluator uses 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))))) to evaluate the Triangular Edge Length of Truncated Rhombohedron, Triangular Edge Length of Truncated Rhombohedron given Total Surface Area formula is defined as the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron, calculated using its total surface area. Triangular Edge Length of Truncated Rhombohedron is denoted by l_e(Triangle) symbol.

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

FAQs on Triangular Edge Length of Truncated Rhombohedron given Total Surface Area

What is the formula to find Triangular Edge Length of Truncated Rhombohedron given Total Surface Area?

The formula of Triangular Edge Length of Truncated Rhombohedron given Total Surface Area is expressed as 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))))). Here is an example- 19.08244 = (sqrt(5-(2*sqrt(5))))*(sqrt((2*3500)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))).

How to calculate Triangular Edge Length of Truncated Rhombohedron given Total Surface Area?

With Total Surface Area of Truncated Rhombohedron (TSA) we can find Triangular Edge Length of Truncated Rhombohedron given Total Surface Area using the formula - 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))))). 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))))*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))

Can the Triangular Edge Length of Truncated Rhombohedron given Total Surface Area be negative?

No, the Triangular Edge Length of Truncated Rhombohedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Triangular Edge Length of Truncated Rhombohedron given Total Surface Area?

Triangular Edge Length of Truncated Rhombohedron given Total Surface Area 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 Total Surface Area can be measured.

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