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Antiprism Edge Length of Tetragonal Trapezohedron given Height Formula

GoAntiprism Edge Length of Tetragonal Trapezohedron given Total Surface Area Formula

GoAntiprism Edge Length of Tetragonal Trapezohedron given Long Edge Formula

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Antiprism Edge Length of Tetragonal Trapezohedron is the distance between any pair of adjacent vertices of the antiprism which corresponds to the Tetragonal Trapezohedron. Check FAQs

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

l_e(Antiprism) - Antiprism Edge Length of Tetragonal Trapezohedron?h - Height of Tetragonal Trapezohedron?

Antiprism Edge Length of Tetragonal Trapezohedron given Height Example

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

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

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

9.8517 = \frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}}

9.8517m = \frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}}

9.8517 = \frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}}

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Antiprism Edge Length of Tetragonal Trapezohedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e(Antiprism) = 9.85171431009416m

LAST Step Rounding Answer

∴

l e(Antiprism) = 9.8517m

Antiprism Edge Length of Tetragonal Trapezohedron given Height Formula Elements

Variables

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Antiprism Edge Length of Tetragonal Trapezohedron

Antiprism Edge Length of Tetragonal Trapezohedron is the distance between any pair of adjacent vertices of the antiprism which corresponds to the Tetragonal Trapezohedron.

Symbol: l_e(Antiprism)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Antiprism Edge Length 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 Antiprism Edge Length of Tetragonal Trapezohedron

Go Antiprism Edge Length of Tetragonal Trapezohedron given Total Surface Area

l e(Antiprism) = \sqrt{\frac{TSA}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}}

Go Antiprism Edge Length of Tetragonal Trapezohedron given Long Edge

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

Go Antiprism Edge Length of Tetragonal Trapezohedron given Short Edge

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

Go Antiprism Edge Length of Tetragonal Trapezohedron given Surface to Volume Ratio

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

How to Evaluate Antiprism Edge Length of Tetragonal Trapezohedron given Height?

Antiprism Edge Length of Tetragonal Trapezohedron given Height evaluator uses Antiprism Edge Length of Tetragonal Trapezohedron = Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))) to evaluate the Antiprism Edge Length of Tetragonal Trapezohedron, The Antiprism Edge Length of Tetragonal Trapezohedron given Height formula is defined as the distance between any pair of adjacent vertices of the antiprism which corresponds to the Tetragonal Trapezohedron, calculated using its height. Antiprism Edge Length of Tetragonal Trapezohedron is denoted by l_e(Antiprism) symbol.

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

FAQs on Antiprism Edge Length of Tetragonal Trapezohedron given Height

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

The formula of Antiprism Edge Length of Tetragonal Trapezohedron given Height is expressed as Antiprism Edge Length of Tetragonal Trapezohedron = Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))). Here is an example- 9.851714 = 20/(sqrt((1/2)*(4+3*sqrt(2)))).

How to calculate Antiprism Edge Length of Tetragonal Trapezohedron given Height?

With Height of Tetragonal Trapezohedron (h) we can find Antiprism Edge Length of Tetragonal Trapezohedron given Height using the formula - Antiprism Edge Length of Tetragonal Trapezohedron = 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 Antiprism Edge Length of Tetragonal Trapezohedron?

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

Antiprism Edge Length of Tetragonal Trapezohedron=sqrt(Total Surface Area of Tetragonal Trapezohedron/(2*sqrt(2+4*sqrt(2))))
Antiprism Edge Length of Tetragonal Trapezohedron=(2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2))))
Antiprism Edge Length of Tetragonal Trapezohedron=Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1))

Can the Antiprism Edge Length of Tetragonal Trapezohedron given Height be negative?

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

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

Antiprism Edge Length 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 Antiprism Edge Length of Tetragonal Trapezohedron given Height can be measured.

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