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Height of Tetragonal Trapezohedron given Surface to Volume Ratio Formula

GoHeight of Tetragonal Trapezohedron Formula

GoHeight of Tetragonal Trapezohedron given Short Edge Formula

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Height of Tetragonal Trapezohedron is the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join. Check FAQs

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

h - Height of Tetragonal Trapezohedron?AV - SA:V of Tetragonal Trapezohedron?

Height of Tetragonal Trapezohedron given Surface to Volume Ratio Example

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

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

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

19.5664 = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot 0.6})

19.5664m = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{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})

19.5664 = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{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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Height of Tetragonal Trapezohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

∴

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

∴

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

∴

h = 19.5663668695703m

LAST Step Rounding Answer

∴

h = 19.5664m

Height of Tetragonal Trapezohedron given Surface to Volume Ratio Formula Elements

Variables

Functions

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

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 Height of Tetragonal Trapezohedron

Go Height of Tetragonal Trapezohedron

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

Go Height of Tetragonal Trapezohedron given Short Edge

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

Go Height of Tetragonal Trapezohedron given Long Edge

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

Go Height of Tetragonal Trapezohedron given Total Surface Area

h = \sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})} \cdot (\sqrt{\frac{TSA}{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}})

How to Evaluate Height of Tetragonal Trapezohedron given Surface to Volume Ratio?

Height of Tetragonal Trapezohedron given Surface to Volume Ratio evaluator uses Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron)) to evaluate the Height of Tetragonal Trapezohedron, The Height of Tetragonal Trapezohedron given Surface to Volume Ratio formula is defined as the distance between the two peak vertices where the long edges of Tetragonal Trapezohedron join, calculated using its surface to volume ratio. Height of Tetragonal Trapezohedron is denoted by h symbol.

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

FAQs on Height of Tetragonal Trapezohedron given Surface to Volume Ratio

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

The formula of Height of Tetragonal Trapezohedron given Surface to Volume Ratio is expressed as Height of Tetragonal Trapezohedron = sqrt((1/2)*(4+3*sqrt(2)))*((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron)). Here is an example- 19.56637 = sqrt((1/2)*(4+3*sqrt(2)))*((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*0.6)).

How to calculate Height of Tetragonal Trapezohedron given Surface to Volume Ratio?

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

What are the other ways to Calculate Height of Tetragonal Trapezohedron?

Here are the different ways to Calculate Height of Tetragonal Trapezohedron-

Height of Tetragonal Trapezohedron=sqrt((1/2)*(4+3*sqrt(2)))*Antiprism Edge Length of Tetragonal Trapezohedron
Height of Tetragonal Trapezohedron=sqrt((1/2)*(4+3*sqrt(2)))*(Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))
Height of Tetragonal Trapezohedron=sqrt((1/2)*(4+3*sqrt(2)))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))

Can the Height of Tetragonal Trapezohedron given Surface to Volume Ratio be negative?

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

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

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

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