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

GoAntiprism Edge Length of Tetragonal Trapezohedron given Total Surface Area Formula

GoAntiprism Edge Length of Tetragonal Trapezohedron given Height 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{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot AV}

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

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

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

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

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

9.6381 = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot 0.6}

9.6381m = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot 0.6m⁻¹}

9.6381 = \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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Antiprism Edge Length of Tetragonal Trapezohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e(Antiprism) = \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(Antiprism) = \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(Antiprism) = \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(Antiprism) = 9.63811282427491m

LAST Step Rounding Answer

∴

l e(Antiprism) = 9.6381m

Antiprism Edge Length of Tetragonal Trapezohedron given Surface to Volume Ratio Formula Elements

Variables

Functions

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

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 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 Height

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

How to Evaluate Antiprism Edge Length of Tetragonal Trapezohedron given Surface to Volume Ratio?

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

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

FAQs on Antiprism Edge Length of Tetragonal Trapezohedron given Surface to Volume Ratio

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

The formula of Antiprism Edge Length of Tetragonal Trapezohedron given Surface to Volume Ratio is expressed as Antiprism Edge Length of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron). Here is an example- 9.638113 = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*0.6).

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

With SA:V of Tetragonal Trapezohedron (AV) we can find Antiprism Edge Length of Tetragonal Trapezohedron given Surface to Volume Ratio using the formula - Antiprism Edge Length of Tetragonal Trapezohedron = (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 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=Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2))))
Antiprism Edge Length of Tetragonal Trapezohedron=(2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2))))

Can the Antiprism Edge Length of Tetragonal Trapezohedron given Surface to Volume Ratio be negative?

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

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

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

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