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Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio Formula

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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 (\frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot AV})

l_e(Long) - Long Edge of Tetragonal Trapezohedron?AV - SA:V of Tetragonal Trapezohedron?

Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio Example

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Here is how the Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio equation looks like.

10.5892 = (\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 0.6})

10.5892m = (\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 0.6m⁻¹})

10.5892 = (\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 0.6})

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Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

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 0.6m⁻¹})

Next Step Prepare to Evaluate

∴

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 0.6})

Next Step Evaluate

∴

l e(Long) = 10.5892414438412m

LAST Step Rounding Answer

∴

l e(Long) = 10.5892m

Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio 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

SA:V of Tetragonal Trapezohedron

SA:V of Tetragonal Trapezohedron is the numerical ratio of the total surface area of the Tetragonal Trapezohedron to the volume of the Tetragonal Trapezohedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 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 Surface to Volume Ratio?

Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio evaluator uses 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)) to evaluate the Long Edge of Tetragonal Trapezohedron, The Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio formula is defined as the length of the any of the longer edges of the Tetragonal Trapezohedron, calculated using its surface to volume ratio. Long Edge of Tetragonal Trapezohedron is denoted by l_e(Long) symbol.

How to evaluate Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio, enter SA:V of Tetragonal Trapezohedron (AV) and hit the calculate button.

FAQs on Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio

What is the formula to find Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio?

The formula of Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio is expressed as 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)). Here is an example- 10.58924 = (sqrt(2*(1+sqrt(2)))/2)*((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*0.6)).

How to calculate Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio?

With SA:V of Tetragonal Trapezohedron (AV) we can find Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio using the formula - 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)). 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 given Surface to Volume Ratio be negative?

No, the Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio?

Long Edge of Tetragonal Trapezohedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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