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Long Edge of Tetragonal Trapezohedron given Volume 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{3 \cdot V}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

l_e(Long) - Long Edge of Tetragonal Trapezohedron?V - Volume of Tetragonal Trapezohedron?

Long Edge of Tetragonal Trapezohedron given Volume Example

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

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

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

10.9983 = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot ({(\frac{3 \cdot 960}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

10.9983m = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot ({(\frac{3 \cdot 960m³}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

10.9983 = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot ({(\frac{3 \cdot 960}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

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Long Edge of Tetragonal Trapezohedron given Volume Solution

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

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot ({(\frac{3 \cdot 960m³}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

l e(Long) = (\frac{\sqrt{2 \cdot (1 + \sqrt{2})}}{2}) \cdot ({(\frac{3 \cdot 960}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})

Next Step Evaluate

∴

l e(Long) = 10.9983097315147m

LAST Step Rounding Answer

∴

l e(Long) = 10.9983m

Long Edge of Tetragonal Trapezohedron given Volume 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

Volume of Tetragonal Trapezohedron

Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 given Volume?

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

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

FAQs on Long Edge of Tetragonal Trapezohedron given Volume

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

The formula of Long Edge of Tetragonal Trapezohedron given Volume is expressed as Long Edge of Tetragonal Trapezohedron = (sqrt(2*(1+sqrt(2)))/2)*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3)). Here is an example- 10.99831 = (sqrt(2*(1+sqrt(2)))/2)*(((3*960)/(sqrt(4+3*sqrt(2))))^(1/3)).

How to calculate Long Edge of Tetragonal Trapezohedron given Volume?

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

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

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

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

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