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Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio 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) = (\frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot R A/V}) \cdot (\sqrt{5 - 2 \cdot \sqrt{5}})

l_e(Triangle) - Triangular Edge Length of Truncated Rhombohedron?R_A/V - Surface to Volume Ratio of Truncated Rhombohedron?

Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio Example

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Here is how the Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio equation looks like.

22.7607 = (\frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2}) \cdot (\sqrt{5 - 2 \cdot \sqrt{5}})

22.7607m = (\frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2m⁻¹}) \cdot (\sqrt{5 - 2 \cdot \sqrt{5}})

22.7607 = (\frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2}) \cdot (\sqrt{5 - 2 \cdot \sqrt{5}})

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Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e(Triangle) = (\frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot R A/V}) \cdot (\sqrt{5 - 2 \cdot \sqrt{5}})

Next Step Substitute values of Variables

∴

l e(Triangle) = (\frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2m⁻¹}) \cdot (\sqrt{5 - 2 \cdot \sqrt{5}})

Next Step Prepare to Evaluate

∴

l e(Triangle) = (\frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2}) \cdot (\sqrt{5 - 2 \cdot \sqrt{5}})

Next Step Evaluate

∴

l e(Triangle) = 22.7607141698594m

LAST Step Rounding Answer

∴

l e(Triangle) = 22.7607m

Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio Formula Elements

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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

Surface to Volume Ratio of Truncated Rhombohedron

Surface to Volume Ratio of Truncated Rhombohedron is the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 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})}})

How to Evaluate Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio?

Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio evaluator uses Triangular Edge Length of Truncated Rhombohedron = ((1/2*(3*sqrt(5+2*sqrt(5))+5*sqrt(3)-2*sqrt(15)))/(5/3*sqrt(sqrt(5)-2)*Surface to Volume Ratio of Truncated Rhombohedron))*(sqrt(5-2*sqrt(5))) to evaluate the Triangular Edge Length of Truncated Rhombohedron, Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio formula is defined as the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron, calculated using its surface to volume ratio. Triangular Edge Length of Truncated Rhombohedron is denoted by l_e(Triangle) symbol.

How to evaluate Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Truncated Rhombohedron (R_A/V) and hit the calculate button.

FAQs on Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio

What is the formula to find Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio?

The formula of Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio is expressed as Triangular Edge Length of Truncated Rhombohedron = ((1/2*(3*sqrt(5+2*sqrt(5))+5*sqrt(3)-2*sqrt(15)))/(5/3*sqrt(sqrt(5)-2)*Surface to Volume Ratio of Truncated Rhombohedron))*(sqrt(5-2*sqrt(5))). Here is an example- 22.76071 = ((1/2*(3*sqrt(5+2*sqrt(5))+5*sqrt(3)-2*sqrt(15)))/(5/3*sqrt(sqrt(5)-2)*0.2))*(sqrt(5-2*sqrt(5))).

How to calculate Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Truncated Rhombohedron (R_A/V) we can find Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio using the formula - Triangular Edge Length of Truncated Rhombohedron = ((1/2*(3*sqrt(5+2*sqrt(5))+5*sqrt(3)-2*sqrt(15)))/(5/3*sqrt(sqrt(5)-2)*Surface to Volume Ratio of Truncated Rhombohedron))*(sqrt(5-2*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))))*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))

Can the Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio be negative?

No, the Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio?

Triangular Edge Length of Truncated Rhombohedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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