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Rhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area Formula

GoRhombohedral Edge Length of Truncated Rhombohedron Formula

GoRhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius 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) = \sqrt{\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}}

l_{e(Rhombohedron)} - Rhombohedral Edge Length of Truncated Rhombohedron?TSA - Total Surface Area of Truncated Rhombohedron?

Rhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area Example

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

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

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

26.2647 = \sqrt{\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}}

26.2647m = \sqrt{\frac{2 \cdot 3500m²}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}}

26.2647 = \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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Rhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area Solution

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

FIRST Step Consider the formula

l e(Rhombohedron) = \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(Rhombohedron) = \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(Rhombohedron) = \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(Rhombohedron) = 26.2647310265994m

LAST Step Rounding Answer

∴

l e(Rhombohedron) = 26.2647m

Rhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area 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

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 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 Circumsphere Radius

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

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 Total Surface Area?

Rhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area evaluator uses 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)))) to evaluate the Rhombohedral Edge Length of Truncated Rhombohedron, Rhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area formula is defined as the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed, calculated using its total surface area. Rhombohedral Edge Length of Truncated Rhombohedron is denoted by l_{e(Rhombohedron)} symbol.

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

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

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

The formula of Rhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area is expressed as 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)))). Here is an example- 26.26473 = sqrt((2*3500)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))).

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

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

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

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

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

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