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

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GoTotal Surface Area of Tetragonal Trapezohedron given Height Formula

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Total Surface Area of Tetragonal Trapezohedron is the total quantity of two-dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron. Check FAQs

TSA = 2 \cdot \sqrt{2 + 4 \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})}^{2})

TSA - Total Surface Area of Tetragonal Trapezohedron?AV - SA:V of Tetragonal Trapezohedron?

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

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

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

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

514.09 = 2 \cdot \sqrt{2 + 4 \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})}^{2})

514.09m² = 2 \cdot \sqrt{2 + 4 \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})}^{2})

514.09 = 2 \cdot \sqrt{2 + 4 \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})}^{2})

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

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

FIRST Step Consider the formula

TSA = 2 \cdot \sqrt{2 + 4 \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})}^{2})

Next Step Substitute values of Variables

∴

TSA = 2 \cdot \sqrt{2 + 4 \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})}^{2})

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot \sqrt{2 + 4 \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})}^{2})

Next Step Evaluate

∴

TSA = 514.090049016168m²

LAST Step Rounding Answer

∴

TSA = 514.09m²

Total Surface Area of Tetragonal Trapezohedron given Surface to Volume Ratio Formula Elements

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Functions

Total Surface Area of Tetragonal Trapezohedron

Total Surface Area of Tetragonal Trapezohedron is the total quantity of two-dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Total Surface Area of Tetragonal Trapezohedron

Go Total Surface Area of Tetragonal Trapezohedron

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

Go Total Surface Area of Tetragonal Trapezohedron given Height

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

Go Total Surface Area of Tetragonal Trapezohedron given Long Edge

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

Go Total Surface Area of Tetragonal Trapezohedron given Short Edge

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

How to Evaluate Total Surface Area of Tetragonal Trapezohedron given Surface to Volume Ratio?

Total Surface Area of Tetragonal Trapezohedron given Surface to Volume Ratio evaluator uses Total Surface Area of Tetragonal Trapezohedron = 2*sqrt(2+4*sqrt(2))*(((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron))^2) to evaluate the Total Surface Area of Tetragonal Trapezohedron, The Total Surface Area of Tetragonal Trapezohedron given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron, calculated using its surface to volume ratio. Total Surface Area of Tetragonal Trapezohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Tetragonal Trapezohedron given Surface to Volume Ratio

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

The formula of Total Surface Area of Tetragonal Trapezohedron given Surface to Volume Ratio is expressed as Total Surface Area of Tetragonal Trapezohedron = 2*sqrt(2+4*sqrt(2))*(((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*SA:V of Tetragonal Trapezohedron))^2). Here is an example- 514.09 = 2*sqrt(2+4*sqrt(2))*(((2*sqrt(2+4*sqrt(2)))/((1/3)*sqrt(4+3*sqrt(2))*0.6))^2).

How to calculate Total Surface Area of Tetragonal Trapezohedron given Surface to Volume Ratio?

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

What are the other ways to Calculate Total Surface Area of Tetragonal Trapezohedron?

Here are the different ways to Calculate Total Surface Area of Tetragonal Trapezohedron-

Total Surface Area of Tetragonal Trapezohedron=2*sqrt(2+4*sqrt(2))*(Antiprism Edge Length of Tetragonal Trapezohedron^2)
Total Surface Area of Tetragonal Trapezohedron=2*sqrt(2+4*sqrt(2))*((Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))))^2)
Total Surface Area of Tetragonal Trapezohedron=2*sqrt(2+4*sqrt(2))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^2)

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

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

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

Total Surface Area of Tetragonal Trapezohedron given Surface to Volume Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Tetragonal Trapezohedron given Surface to Volume Ratio can be measured.

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