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Surface to Volume Ratio of Tetragonal Trapezohedron given Short Edge Formula

GoSurface to Volume Ratio of Tetragonal Trapezohedron Formula

GoSurface to Volume Ratio of Tetragonal Trapezohedron given Long 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{l e(Short)}{\sqrt{\sqrt{2} - 1}})}

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

Surface to Volume Ratio of Tetragonal Trapezohedron given Short Edge Example

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

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

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

0.6203 = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{6}{\sqrt{\sqrt{2} - 1}})}

0.6203m⁻¹ = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{6m}{\sqrt{\sqrt{2} - 1}})}

0.6203 = \frac{2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}}}{(\frac{1}{3}) \cdot \sqrt{4 + 3 \cdot \sqrt{2}} \cdot (\frac{6}{\sqrt{\sqrt{2} - 1}})}

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Surface to Volume Ratio of Tetragonal Trapezohedron given Short Edge Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Tetragonal Trapezohedron given Short 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{l e(Short)}{\sqrt{\sqrt{2} - 1}})}

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{6m}{\sqrt{\sqrt{2} - 1}})}

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{6}{\sqrt{\sqrt{2} - 1}})}

Next Step Evaluate

∴

AV = 0.620303402255893m⁻¹

LAST Step Rounding Answer

∴

AV = 0.6203m⁻¹

Surface to Volume Ratio of Tetragonal Trapezohedron given Short 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

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

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 Long Edge

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})}})}

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 Short Edge?

Surface to Volume Ratio of Tetragonal Trapezohedron given Short Edge evaluator uses 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)))) to evaluate the SA:V of Tetragonal Trapezohedron, Surface to Volume Ratio of Tetragonal Trapezohedron given Short 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 short edge. SA:V of Tetragonal Trapezohedron is denoted by AV symbol.

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

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

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

The formula of Surface to Volume Ratio of Tetragonal Trapezohedron given Short Edge is expressed as 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)))). Here is an example- 0.620303 = (2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*(6/(sqrt(sqrt(2)-1)))).

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

With Short Edge of Tetragonal Trapezohedron (l_e(Short)) we can find Surface to Volume Ratio of Tetragonal Trapezohedron given Short Edge using the formula - 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)))). 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))*((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2))))))
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 Short Edge be negative?

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

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

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

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