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Short Edge of Tetragonal Trapezohedron given Height Formula

GoShort Edge of Tetragonal Trapezohedron given Total Surface Area Formula

GoShort Edge of Tetragonal Trapezohedron given Surface to Volume Ratio Formula

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

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

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

Short Edge of Tetragonal Trapezohedron given Height Example

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

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

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

6.3405 = \sqrt{\sqrt{2} - 1} \cdot (\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

6.3405m = \sqrt{\sqrt{2} - 1} \cdot (\frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

6.3405 = \sqrt{\sqrt{2} - 1} \cdot (\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})

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Short Edge of Tetragonal Trapezohedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e(Short) = 6.34050671124429m

LAST Step Rounding Answer

∴

l e(Short) = 6.3405m

Short Edge of Tetragonal Trapezohedron given Height Formula Elements

Variables

Functions

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

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 Short Edge of Tetragonal Trapezohedron

Go Short Edge of Tetragonal Trapezohedron given Total Surface Area

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

Go Short Edge of Tetragonal Trapezohedron given Surface to Volume Ratio

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

Go Short Edge of Tetragonal Trapezohedron given Volume

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

Go Short Edge of Tetragonal Trapezohedron

l e(Short) = \sqrt{\sqrt{2} - 1} \cdot l e(Antiprism)

How to Evaluate Short Edge of Tetragonal Trapezohedron given Height?

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

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

FAQs on Short Edge of Tetragonal Trapezohedron given Height

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

The formula of Short Edge of Tetragonal Trapezohedron given Height is expressed as Short Edge of Tetragonal Trapezohedron = sqrt(sqrt(2)-1)*(Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2))))). Here is an example- 6.340507 = sqrt(sqrt(2)-1)*(20/(sqrt((1/2)*(4+3*sqrt(2))))).

How to calculate Short Edge of Tetragonal Trapezohedron given Height?

With Height of Tetragonal Trapezohedron (h) we can find Short Edge of Tetragonal Trapezohedron given Height using the formula - Short Edge of Tetragonal Trapezohedron = sqrt(sqrt(2)-1)*(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 Short Edge of Tetragonal Trapezohedron?

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

Short Edge of Tetragonal Trapezohedron=sqrt(sqrt(2)-1)*(sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2)))))
Short Edge of Tetragonal Trapezohedron=sqrt(sqrt(2)-1)*((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron))
Short Edge of Tetragonal Trapezohedron=sqrt(sqrt(2)-1)*(((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3))

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

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

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

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

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