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Total Surface Area of Tetragonal Trapezohedron given Volume 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{3 \cdot V}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})}^{2})

TSA - Total Surface Area of Tetragonal Trapezohedron?V - Volume of Tetragonal Trapezohedron?

Total Surface Area of Tetragonal Trapezohedron given Volume Example

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

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

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

554.5764 = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({({(\frac{3 \cdot 960}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})}^{2})

554.5764m² = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({({(\frac{3 \cdot 960m³}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})}^{2})

554.5764 = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({({(\frac{3 \cdot 960}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})}^{2})

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Total Surface Area of Tetragonal Trapezohedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({({(\frac{3 \cdot 960m³}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})}^{2})

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot \sqrt{2 + 4 \cdot \sqrt{2}} \cdot ({({(\frac{3 \cdot 960}{\sqrt{4 + 3 \cdot \sqrt{2}}})}^{\frac{1}{3}})}^{2})

Next Step Evaluate

∴

TSA = 554.576404970232m²

LAST Step Rounding Answer

∴

TSA = 554.5764m²

Total Surface Area of Tetragonal Trapezohedron given Volume 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

Volume of Tetragonal Trapezohedron

Volume of Tetragonal Trapezohedron is the amount of three dimensional space covered by Tetragonal Trapezohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

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

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

FAQs on Total Surface Area of Tetragonal Trapezohedron given Volume

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

The formula of Total Surface Area of Tetragonal Trapezohedron given Volume is expressed as Total Surface Area of Tetragonal Trapezohedron = 2*sqrt(2+4*sqrt(2))*((((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3))^2). Here is an example- 554.5764 = 2*sqrt(2+4*sqrt(2))*((((3*960)/(sqrt(4+3*sqrt(2))))^(1/3))^2).

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

With Volume of Tetragonal Trapezohedron (V) we can find Total Surface Area of Tetragonal Trapezohedron given Volume using the formula - Total Surface Area of Tetragonal Trapezohedron = 2*sqrt(2+4*sqrt(2))*((((3*Volume of Tetragonal Trapezohedron)/(sqrt(4+3*sqrt(2))))^(1/3))^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))*(((2*Long Edge of Tetragonal Trapezohedron)/(sqrt(2*(1+sqrt(2)))))^2)

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

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

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

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

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