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Long Edge of Tetragonal Trapezohedron given Short Edge Formula

GoLong Edge of Tetragonal Trapezohedron given Height Formula

GoLong Edge of Tetragonal Trapezohedron given Total Surface Area 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 (\frac{l e(Short)}{\sqrt{\sqrt{2} - 1}})

l_e(Long) - Long Edge of Tetragonal Trapezohedron?l_e(Short) - Short Edge of Tetragonal Trapezohedron?

Long Edge of Tetragonal Trapezohedron given Short Edge Example

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

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

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

10.2426 = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{6}{\sqrt{\sqrt{2} - 1}})

10.2426m = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{6m}{\sqrt{\sqrt{2} - 1}})

10.2426 = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{6}{\sqrt{\sqrt{2} - 1}})

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Long Edge of Tetragonal Trapezohedron given Short Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{6m}{\sqrt{\sqrt{2} - 1}})

Next Step Prepare to Evaluate

∴

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{6}{\sqrt{\sqrt{2} - 1}})

Next Step Evaluate

∴

l e(Long) = 10.2426406871193m

LAST Step Rounding Answer

∴

l e(Long) = 10.2426m

Long Edge of Tetragonal Trapezohedron given Short Edge 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

Short Edge of Tetragonal Trapezohedron

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

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge 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 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})

Go Long Edge of Tetragonal Trapezohedron given Volume

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

How to Evaluate Long Edge of Tetragonal Trapezohedron given Short Edge?

Long Edge of Tetragonal Trapezohedron given Short Edge evaluator uses Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1))) to evaluate the Long Edge of Tetragonal Trapezohedron, The Long Edge of Tetragonal Trapezohedron given Short Edge formula is defined as the length of any of the longer edges of the Tetragonal Trapezohedron, calculated using its short edge. Long Edge of Tetragonal Trapezohedron is denoted by l_e(Long) symbol.

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

FAQs on Long Edge of Tetragonal Trapezohedron given Short Edge

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

The formula of Long Edge of Tetragonal Trapezohedron given Short Edge is expressed as Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1))). Here is an example- 10.24264 = (sqrt(2*(1+sqrt(2)))/2)*(6/(sqrt(sqrt(2)-1))).

How to calculate Long Edge of Tetragonal Trapezohedron given Short Edge?

With Short Edge of Tetragonal Trapezohedron (l_e(Short)) we can find Long Edge of Tetragonal Trapezohedron given Short Edge using the formula - Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1))). 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)*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))
Long Edge of Tetragonal Trapezohedron=(sqrt(2*(1+sqrt(2)))/2)*((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron))

Can the Long Edge of Tetragonal Trapezohedron given Short Edge be negative?

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

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

Long Edge of Tetragonal Trapezohedron given Short Edge 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 given Short Edge can be measured.

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