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Short Edge of Pentagonal Trapezohedron given Total Surface Area Formula

GoShort Edge of Pentagonal Trapezohedron Formula

GoShort Edge of Pentagonal Trapezohedron given Long Edge Formula

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Short Edge of Pentagonal Trapezohedron is the length of any of the shorter edges of the Pentagonal Trapezohedron. Check FAQs

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

l_e(Short) - Short Edge of Pentagonal Trapezohedron?TSA - Total Surface Area of Pentagonal Trapezohedron?

Short Edge of Pentagonal Trapezohedron given Total Surface Area Example

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Here is how the Short Edge of Pentagonal Trapezohedron given Total Surface Area equation looks like with Values.

Here is how the Short Edge of Pentagonal Trapezohedron given Total Surface Area equation looks like with Units.

Here is how the Short Edge of Pentagonal Trapezohedron given Total Surface Area equation looks like.

6.1769 = (\frac{\sqrt{5} - 1}{2}) \cdot (\sqrt{\frac{950}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

6.1769m = (\frac{\sqrt{5} - 1}{2}) \cdot (\sqrt{\frac{950m²}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

6.1769 = (\frac{\sqrt{5} - 1}{2}) \cdot (\sqrt{\frac{950}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

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Short Edge of Pentagonal Trapezohedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Short Edge of Pentagonal Trapezohedron given Total Surface Area?

FIRST Step Consider the formula

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

Next Step Substitute values of Variables

∴

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\sqrt{\frac{950m²}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

Next Step Prepare to Evaluate

∴

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\sqrt{\frac{950}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})

Next Step Evaluate

∴

l e(Short) = 6.17690610406077m

LAST Step Rounding Answer

∴

l e(Short) = 6.1769m

Short Edge of Pentagonal Trapezohedron given Total Surface Area Formula Elements

Variables

Functions

Short Edge of Pentagonal Trapezohedron

Short Edge of Pentagonal Trapezohedron is the length of any of the shorter edges of the Pentagonal Trapezohedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Pentagonal Trapezohedron

Total Surface Area of Pentagonal Trapezohedron

Total Surface Area of Pentagonal Trapezohedron is the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Trapezohedron

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 Short Edge of Pentagonal Trapezohedron

Go Short Edge of Pentagonal Trapezohedron

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot l e(Antiprism)

Go Short Edge of Pentagonal Trapezohedron given Long Edge

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{l e(Long)}{(\frac{\sqrt{5} + 1}{2})})

Go Short Edge of Pentagonal Trapezohedron given Height

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot (\frac{h}{(\sqrt{5 + 2 \cdot \sqrt{5}})})

Go Short Edge of Pentagonal Trapezohedron given Volume

l e(Short) = (\frac{\sqrt{5} - 1}{2}) \cdot ({(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})

How to Evaluate Short Edge of Pentagonal Trapezohedron given Total Surface Area?

Short Edge of Pentagonal Trapezohedron given Total Surface Area evaluator uses Short Edge of Pentagonal Trapezohedron = ((sqrt(5)-1)/2)*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5))))))) to evaluate the Short Edge of Pentagonal Trapezohedron, The Short Edge of Pentagonal Trapezohedron given Total Surface Area formula is defined as the length of any of the shorter edges of the Pentagonal Trapezohedron, calculated using its total surface area. Short Edge of Pentagonal Trapezohedron is denoted by l_e(Short) symbol.

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

FAQs on Short Edge of Pentagonal Trapezohedron given Total Surface Area

What is the formula to find Short Edge of Pentagonal Trapezohedron given Total Surface Area?

The formula of Short Edge of Pentagonal Trapezohedron given Total Surface Area is expressed as Short Edge of Pentagonal Trapezohedron = ((sqrt(5)-1)/2)*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5))))))). Here is an example- 6.176906 = ((sqrt(5)-1)/2)*(sqrt(950/((sqrt((25/2)*(5+sqrt(5))))))).

How to calculate Short Edge of Pentagonal Trapezohedron given Total Surface Area?

With Total Surface Area of Pentagonal Trapezohedron (TSA) we can find Short Edge of Pentagonal Trapezohedron given Total Surface Area using the formula - Short Edge of Pentagonal Trapezohedron = ((sqrt(5)-1)/2)*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5))))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Short Edge of Pentagonal Trapezohedron?

Here are the different ways to Calculate Short Edge of Pentagonal Trapezohedron-

Short Edge of Pentagonal Trapezohedron=((sqrt(5)-1)/2)*Antiprism Edge Length of Pentagonal Trapezohedron
Short Edge of Pentagonal Trapezohedron=((sqrt(5)-1)/2)*(Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))
Short Edge of Pentagonal Trapezohedron=((sqrt(5)-1)/2)*(Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))

Can the Short Edge of Pentagonal Trapezohedron given Total Surface Area be negative?

No, the Short Edge of Pentagonal Trapezohedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Short Edge of Pentagonal Trapezohedron given Total Surface Area?

Short Edge of Pentagonal Trapezohedron 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 Short Edge of Pentagonal Trapezohedron given Total Surface Area can be measured.

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