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Long Edge of Tetragonal Trapezohedron Formula

GoLong Edge of Tetragonal Trapezohedron given Height Formula

GoLong Edge of Tetragonal Trapezohedron given Short Edge Formula

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Long Edge of Tetragonal Trapezohedron is the length of the any of the longer edges of the Tetragonal Trapezohedron. Check FAQs

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot l e(Antiprism)

l_e(Long) - Long Edge of Tetragonal Trapezohedron?l_e(Antiprism) - Antiprism Edge Length of Tetragonal Trapezohedron?

Long Edge of Tetragonal Trapezohedron Example

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Here is how the Long Edge of Tetragonal Trapezohedron equation looks like with Values.

Here is how the Long Edge of Tetragonal Trapezohedron equation looks like with Units.

Here is how the Long Edge of Tetragonal Trapezohedron equation looks like.

10.9868 = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot 10

10.9868m = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot 10m

10.9868 = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot 10

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Long Edge of Tetragonal Trapezohedron Solution

Follow our step by step solution on how to calculate Long Edge of Tetragonal Trapezohedron?

FIRST Step Consider the formula

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot l e(Antiprism)

Next Step Substitute values of Variables

∴

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot 10m

Next Step Prepare to Evaluate

∴

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot 10

Next Step Evaluate

∴

l e(Long) = 10.9868411346781m

LAST Step Rounding Answer

∴

l e(Long) = 10.9868m

Long Edge of Tetragonal Trapezohedron Formula Elements

Variables

Functions

Long Edge of Tetragonal Trapezohedron

Long Edge of Tetragonal Trapezohedron is the length of the any of the longer edges of the Tetragonal Trapezohedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Tetragonal Trapezohedron

Antiprism Edge Length of Tetragonal Trapezohedron

Antiprism Edge Length of Tetragonal Trapezohedron is the distance between any pair of adjacent vertices of the antiprism which corresponds to the Tetragonal Trapezohedron.

Symbol: l_e(Antiprism)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Antiprism Edge Length of Tetragonal 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 Long Edge of Tetragonal Trapezohedron

Go Long Edge of Tetragonal Trapezohedron given Height

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{h}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

Go Long Edge of Tetragonal Trapezohedron given Short Edge

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

Go Long Edge of Tetragonal Trapezohedron given Total Surface Area

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\sqrt{\frac{TSA}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

Go Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot AV})

How to Evaluate Long Edge of Tetragonal Trapezohedron?

Long Edge of Tetragonal Trapezohedron evaluator uses Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*Antiprism Edge Length of Tetragonal Trapezohedron to evaluate the Long Edge of Tetragonal Trapezohedron, The Long Edge of Tetragonal Trapezohedron formula is defined as the length of the any of the longer edges of the Tetragonal Trapezohedron. Long Edge of Tetragonal Trapezohedron is denoted by l_e(Long) symbol.

How to evaluate Long Edge of Tetragonal Trapezohedron using this online evaluator? To use this online evaluator for Long Edge of Tetragonal Trapezohedron, enter Antiprism Edge Length of Tetragonal Trapezohedron (l_e(Antiprism)) and hit the calculate button.

FAQs on Long Edge of Tetragonal Trapezohedron

What is the formula to find Long Edge of Tetragonal Trapezohedron?

The formula of Long Edge of Tetragonal Trapezohedron is expressed as Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*Antiprism Edge Length of Tetragonal Trapezohedron. Here is an example- 10.98684 = (sqrt(2*(1+sqrt(2)))/2)*10.

How to calculate Long Edge of Tetragonal Trapezohedron?

With Antiprism Edge Length of Tetragonal Trapezohedron (l_e(Antiprism)) we can find Long Edge of Tetragonal Trapezohedron using the formula - Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*Antiprism Edge Length of Tetragonal Trapezohedron. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Edge of Tetragonal Trapezohedron?

Here are the different ways to Calculate Long Edge of Tetragonal Trapezohedron-

Long Edge of Tetragonal Trapezohedron=(sqrt(2*(1+sqrt(2)))/2)*(Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))))
Long Edge of Tetragonal Trapezohedron=(sqrt(2*(1+sqrt(2)))/2)*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))
Long Edge of Tetragonal Trapezohedron=(sqrt(2*(1+sqrt(2)))/2)*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))

Can the Long Edge of Tetragonal Trapezohedron be negative?

No, the Long Edge of Tetragonal Trapezohedron, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Tetragonal Trapezohedron?

Long Edge of Tetragonal Trapezohedron is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Edge of Tetragonal Trapezohedron can be measured.

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