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Total Surface Area of Tetragonal Trapezohedron given Long Edge 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 l e(Long)}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{2})

TSA - Total Surface Area of Tetragonal Trapezohedron?l_e(Long) - Long Edge of Tetragonal Trapezohedron?

Total Surface Area of Tetragonal Trapezohedron given Long Edge Example

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Here is how the Total Surface Area of Tetragonal Trapezohedron given Long Edge equation looks like with Values.

Here is how the Total Surface Area of Tetragonal Trapezohedron given Long Edge equation looks like with Units.

Here is how the Total Surface Area of Tetragonal Trapezohedron given Long Edge equation looks like.

554.7469 = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{2})

554.7469m² = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11m}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{2})

554.7469 = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{2})

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Total Surface Area of Tetragonal Trapezohedron given Long Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11m}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{2})

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{2 \cdot 11}{\sqrt{2 \cdot (1 + \sqrt{2})}})}^{2})

Next Step Evaluate

∴

TSA = 554.746877538012m²

LAST Step Rounding Answer

∴

TSA = 554.7469m²

Total Surface Area of Tetragonal Trapezohedron given Long Edge Formula Elements

Variables

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

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 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 Short Edge

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

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

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})

How to Evaluate Total Surface Area of Tetragonal Trapezohedron given Long Edge?

Total Surface Area of Tetragonal Trapezohedron given Long Edge evaluator uses Total Surface Area of Tetragonal Trapezohedron = 2*sqrt(2+4*sqrt(2))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^2) to evaluate the Total Surface Area of Tetragonal Trapezohedron, The Total Surface Area of Tetragonal Trapezohedron given Long Edge formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Tetragonal Trapezohedron, calculated using its long edge. Total Surface Area of Tetragonal Trapezohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Tetragonal Trapezohedron given Long Edge

What is the formula to find Total Surface Area of Tetragonal Trapezohedron given Long Edge?

The formula of Total Surface Area of Tetragonal Trapezohedron given Long Edge is expressed as Total Surface Area of Tetragonal Trapezohedron = 2*sqrt(2+4*sqrt(2))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^2). Here is an example- 554.7469 = 2*sqrt(2+4*sqrt(2))*(((2*11)/(sqrt(2*(1+sqrt(2)))))^2).

How to calculate Total Surface Area of Tetragonal Trapezohedron given Long Edge?

With Long Edge of Tetragonal Trapezohedron (l_e(Long)) we can find Total Surface Area of Tetragonal Trapezohedron given Long Edge using the formula - Total Surface Area of Tetragonal Trapezohedron = 2*sqrt(2+4*sqrt(2))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^2). This formula also uses Square Root (sqrt) 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))*((Short Edge of Tetragonal Trapezohedron/(sqrt(sqrt(2)-1)))^2)

Can the Total Surface Area of Tetragonal Trapezohedron given Long Edge be negative?

No, the Total Surface Area of Tetragonal Trapezohedron given Long Edge, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Tetragonal Trapezohedron given Long Edge?

Total Surface Area of Tetragonal Trapezohedron given Long Edge 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 Long Edge can be measured.

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