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Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge Formula

GoSurface to Volume Ratio of Tetragonal Trapezohedron Formula

GoSurface to Volume Ratio of Tetragonal Trapezohedron given Short Edge Formula

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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. Check FAQs

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

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

Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge Example

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

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

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

0.5776 = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{2 \cdot 11}{\sqrt{2 \cdot (1 + \sqrt{2})}})}

0.5776m⁻¹ = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{2 \cdot 11m}{\sqrt{2 \cdot (1 + \sqrt{2})}})}

0.5776 = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{2 \cdot 11}{\sqrt{2 \cdot (1 + \sqrt{2})}})}

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3D Geometry » fx Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge

Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{2 \cdot 11m}{\sqrt{2 \cdot (1 + \sqrt{2})}})}

Next Step Prepare to Evaluate

∴

AV = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{2 \cdot 11}{\sqrt{2 \cdot (1 + \sqrt{2})}})}

Next Step Evaluate

∴

AV = 0.577594987845884m⁻¹

LAST Step Rounding Answer

∴

AV = 0.5776m⁻¹

Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge Formula Elements

Variables

Functions

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

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

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 SA:V of Tetragonal Trapezohedron

Go Surface to Volume Ratio of Tetragonal Trapezohedron

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

Go Surface to Volume Ratio of Tetragonal Trapezohedron given Short Edge

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

Go Surface to Volume Ratio of Tetragonal Trapezohedron given Height

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

Go Surface to Volume Ratio of Tetragonal Trapezohedron given Total Surface Area

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

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

Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge evaluator uses SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))) to evaluate the SA:V of Tetragonal Trapezohedron, Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge formula is defined as the numerical ratio of the total surface area of a Tetragonal Trapezohedron to the volume of the Tetragonal Trapezohedron, calculated using its long edge. SA:V of Tetragonal Trapezohedron is denoted by AV symbol.

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

FAQs on Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge

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

The formula of Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge is expressed as SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))). Here is an example- 0.577595 = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*((2*11)/(sqrt(2*(1+sqrt(2)))))).

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

With Long Edge of Tetragonal Trapezohedron (l_e(Long)) we can find Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge using the formula - SA:V of Tetragonal Trapezohedron = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Tetragonal Trapezohedron?

Here are the different ways to Calculate SA:V of Tetragonal Trapezohedron-

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

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

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

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

Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Tetragonal Trapezohedron given Long Edge can be measured.

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