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Edge Length of Truncated Rhombohedron given Total Surface Area Formula

GoEdge Length of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoEdge Length of Truncated Rhombohedron given Triangular Edge Length Formula

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Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron. Check FAQs

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

l_e - Edge Length of Truncated Rhombohedron?TSA - Total Surface Area of Truncated Rhombohedron?

Edge Length of Truncated Rhombohedron given Total Surface Area Example

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

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

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

10.0322 = (\frac{3 - \sqrt{5}}{2}) \cdot (\sqrt{\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

10.0322m = (\frac{3 - \sqrt{5}}{2}) \cdot (\sqrt{\frac{2 \cdot 3500m²}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

10.0322 = (\frac{3 - \sqrt{5}}{2}) \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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Edge Length of Truncated Rhombohedron given Total Surface Area Solution

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

FIRST Step Consider the formula

l e = (\frac{3 - \sqrt{5}}{2}) \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 = (\frac{3 - \sqrt{5}}{2}) \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 = (\frac{3 - \sqrt{5}}{2}) \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 = 10.032234546787m

LAST Step Rounding Answer

∴

l e = 10.0322m

Edge Length of Truncated Rhombohedron given Total Surface Area Formula Elements

Variables

Functions

Edge Length of Truncated Rhombohedron

Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 Edge Length of Truncated Rhombohedron

Go Edge Length of Truncated Rhombohedron given Rhombohedral Edge Length

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

Go Edge Length of Truncated Rhombohedron given Triangular Edge Length

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

Go Edge Length of Truncated Rhombohedron given Circumsphere Radius

l e = (\frac{3 - \sqrt{5}}{2}) \cdot (\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})

Go Edge Length of Truncated Rhombohedron given Area of Pentagon

l e = (\frac{\sqrt{4 \cdot \frac{A Pentagon}{\sqrt{5 + 2 \cdot \sqrt{5}}}}}{2}) \cdot (3 - \sqrt{5})

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

Edge Length of Truncated Rhombohedron given Total Surface Area evaluator uses Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))) to evaluate the Edge Length of Truncated Rhombohedron, Edge Length of Truncated Rhombohedron given Total Surface Area formula is defined as the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron, calculated using its total surface area. Edge Length of Truncated Rhombohedron is denoted by l_e symbol.

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

FAQs on Edge Length of Truncated Rhombohedron given Total Surface Area

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

The formula of Edge Length of Truncated Rhombohedron given Total Surface Area is expressed as Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))). Here is an example- 10.03223 = ((3-sqrt(5))/2)*(sqrt((2*3500)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))).

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

With Total Surface Area of Truncated Rhombohedron (TSA) we can find Edge Length of Truncated Rhombohedron given Total Surface Area using the formula - Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(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 Edge Length of Truncated Rhombohedron?

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

Edge Length of Truncated Rhombohedron=(Rhombohedral Edge Length of Truncated Rhombohedron*(3-sqrt(5)))/2
Edge Length of Truncated Rhombohedron=((3-sqrt(5))/2)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))
Edge Length of Truncated Rhombohedron=((3-sqrt(5))/2)*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))

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

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

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

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

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