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Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius Formula

GoRhombohedral Edge Length of Truncated Rhombohedron Formula

GoRhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area Formula

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Rhombohedral Edge Length of Truncated Rhombohedron is the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed. Check FAQs

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

l_{e(Rhombohedron)} - Rhombohedral Edge Length of Truncated Rhombohedron?r_c - Circumsphere Radius of Truncated Rhombohedron?

Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius Example

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

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

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

25.9174 = \frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}}

25.9174m = \frac{4 \cdot 20m}{\sqrt{14 - (2 \cdot \sqrt{5})}}

25.9174 = \frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}}

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Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e(Rhombohedron) = 25.9174465317719m

LAST Step Rounding Answer

∴

l e(Rhombohedron) = 25.9174m

Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius Formula Elements

Variables

Functions

Rhombohedral Edge Length of Truncated Rhombohedron

Rhombohedral Edge Length of Truncated Rhombohedron is the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed.

Symbol: l_{e(Rhombohedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Rhombohedral 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 Rhombohedral Edge Length of Truncated Rhombohedron

Go Rhombohedral Edge Length of Truncated Rhombohedron

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

Go Rhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area

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

Go Rhombohedral Edge Length of Truncated Rhombohedron given Area of Pentagon

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

Go Rhombohedral Edge Length of Truncated Rhombohedron given Volume

l e(Rhombohedron) = {(\frac{3 \cdot V}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}}

Other formulas in Rhombohedral Edge Length of Truncated Rhombohedron category

Go Rhombohedral Edge Length of Truncated Rhombohedron given Triangular Edge Length

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

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

Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius evaluator uses Rhombohedral Edge Length of Truncated Rhombohedron = (4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))) to evaluate the Rhombohedral Edge Length of Truncated Rhombohedron, Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius formula is defined as the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed, calculated using its circumsphere radius. Rhombohedral Edge Length of Truncated Rhombohedron is denoted by l_{e(Rhombohedron)} symbol.

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

FAQs on Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius

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

The formula of Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius is expressed as Rhombohedral Edge Length of Truncated Rhombohedron = (4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))). Here is an example- 25.91745 = (4*20)/(sqrt(14-(2*sqrt(5)))).

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

With Circumsphere Radius of Truncated Rhombohedron (r_c) we can find Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius using the formula - Rhombohedral Edge Length of Truncated Rhombohedron = (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 Rhombohedral Edge Length of Truncated Rhombohedron?

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

Rhombohedral Edge Length of Truncated Rhombohedron=(2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5))
Rhombohedral Edge Length of Truncated Rhombohedron=sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))
Rhombohedral Edge Length of Truncated Rhombohedron=sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5)))))

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

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

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

Rhombohedral 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 Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius can be measured.

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