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Total Surface Area of Tetragonal Trapezohedron given Height Formula

GoTotal Surface Area of Tetragonal Trapezohedron Formula

GoTotal Surface Area of Tetragonal Trapezohedron given Long Edge 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{h}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{2})

TSA - Total Surface Area of Tetragonal Trapezohedron?h - Height of Tetragonal Trapezohedron?

Total Surface Area of Tetragonal Trapezohedron given Height Example

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

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

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

537.1293 = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{2})

537.1293m² = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{2})

537.1293 = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{2})

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Total Surface Area of Tetragonal Trapezohedron given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{20m}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{2})

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({(\frac{20}{\sqrt{(\frac{1}{2}) \cdot (4 + 3 \cdot \sqrt{2})}})}^{2})

Next Step Evaluate

∴

TSA = 537.129251533291m²

LAST Step Rounding Answer

∴

TSA = 537.1293m²

Total Surface Area of Tetragonal Trapezohedron given Height Formula Elements

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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

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

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 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})

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 Height?

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

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

FAQs on Total Surface Area of Tetragonal Trapezohedron given Height

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

The formula of Total Surface Area of Tetragonal Trapezohedron given Height is expressed as Total Surface Area of Tetragonal Trapezohedron = 2*sqrt(2+4*sqrt(2))*((Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*sqrt(2)))))^2). Here is an example- 537.1293 = 2*sqrt(2+4*sqrt(2))*((20/(sqrt((1/2)*(4+3*sqrt(2)))))^2).

How to calculate Total Surface Area of Tetragonal Trapezohedron given Height?

With Height of Tetragonal Trapezohedron (h) we can find Total Surface Area of Tetragonal Trapezohedron given Height using the formula - Total Surface Area of Tetragonal Trapezohedron = 2*sqrt(2+4*sqrt(2))*((Height of Tetragonal Trapezohedron/(sqrt((1/2)*(4+3*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))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+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 Height be negative?

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

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

Total Surface Area of Tetragonal Trapezohedron given Height 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 Height can be measured.

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