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Long Edge of Tetragonal Trapezohedron given Height Formula

GoLong Edge of Tetragonal Trapezohedron given Short Edge 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{h}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

l_e(Long) - Long Edge of Tetragonal Trapezohedron?h - Height of Tetragonal Trapezohedron?

Long Edge of Tetragonal Trapezohedron given Height Example

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

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

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

10.8239 = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

10.8239m = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

10.8239 = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

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Long Edge of Tetragonal Trapezohedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

Next Step Prepare to Evaluate

∴

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot (\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

Next Step Evaluate

∴

l e(Long) = 10.8239220029239m

LAST Step Rounding Answer

∴

l e(Long) = 10.8239m

Long Edge of Tetragonal Trapezohedron given Height 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

Height of Tetragonal Trapezohedron

Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 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})

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 Height?

Long Edge of Tetragonal Trapezohedron given Height evaluator uses Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*(Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2))))) to evaluate the Long Edge of Tetragonal Trapezohedron, The Long Edge of Tetragonal Trapezohedron given Height formula is defined as the length of the any of the longer edges of the Tetragonal Trapezohedron, calculated using its height. Long Edge of Tetragonal Trapezohedron is denoted by l_e(Long) symbol.

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

FAQs on Long Edge of Tetragonal Trapezohedron given Height

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

The formula of Long Edge of Tetragonal Trapezohedron given Height is expressed as Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*(Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2))))). Here is an example- 10.82392 = (sqrt(2*(1+sqrt(2)))/2)*(20/(sqrt((1/2)*(4+3*sqrt(2))))).

How to calculate Long Edge of Tetragonal Trapezohedron given Height?

With Height of Tetragonal Trapezohedron (h) we can find Long Edge of Tetragonal Trapezohedron given Height using the formula - Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*(Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2))))). 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)*(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)))))
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 Height be negative?

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

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

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

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