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Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length Formula

GoTotal Surface Area of Truncated Dodecahedron Formula

GoTotal Surface Area of Truncated Dodecahedron given Volume Formula

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Total Surface Area of Truncated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Truncated Dodecahedron. Check FAQs

TSA = (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {l e(Dodecahedron)}^{2}

TSA - Total Surface Area of Truncated Dodecahedron?l_{e(Dodecahedron)} - Dodecahedral Edge Length of Truncated Dodecahedron?

Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length Example

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Here is how the Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length equation looks like with Values.

Here is how the Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length equation looks like with Units.

Here is how the Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length equation looks like.

9775.9056 = (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot 22^{2}

9775.9056m² = (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {22m}^{2}

9775.9056 = (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot 22^{2}

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Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length Solution

Follow our step by step solution on how to calculate Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length?

FIRST Step Consider the formula

TSA = (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {l e(Dodecahedron)}^{2}

Next Step Substitute values of Variables

∴

TSA = (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {22m}^{2}

Next Step Prepare to Evaluate

∴

TSA = (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot 22^{2}

Next Step Evaluate

∴

TSA = 9775.90558282027m²

LAST Step Rounding Answer

∴

TSA = 9775.9056m²

Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length Formula Elements

Variables

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Total Surface Area of Truncated Dodecahedron

Total Surface Area of Truncated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Truncated Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Dodecahedron

Dodecahedral Edge Length of Truncated Dodecahedron

Dodecahedral Edge Length of Truncated Dodecahedron is the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron.

Symbol: l_{e(Dodecahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Dodecahedral Edge Length of Truncated Dodecahedron

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 Truncated Dodecahedron

Go Total Surface Area of Truncated Dodecahedron

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {l e}^{2}

Go Total Surface Area of Truncated Dodecahedron given Volume

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{2}{3}}

Go Total Surface Area of Truncated Dodecahedron given Circumsphere Radius

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{4 \cdot r c}{\sqrt{74 + (30 \cdot \sqrt{5})}})}^{2}

Go Total Surface Area of Truncated Dodecahedron given Midsphere Radius

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {(\frac{4 \cdot r m}{5 + (3 \cdot \sqrt{5})})}^{2}

How to Evaluate Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length?

Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length evaluator uses Total Surface Area of Truncated Dodecahedron = (sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Dodecahedral Edge Length of Truncated Dodecahedron^2 to evaluate the Total Surface Area of Truncated Dodecahedron, Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Dodecahedron, and calculated using the dodecahedral edge length of the Truncated Dodecahedron. Total Surface Area of Truncated Dodecahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length using this online evaluator? To use this online evaluator for Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length, enter Dodecahedral Edge Length of Truncated Dodecahedron (l_{e(Dodecahedron)}) and hit the calculate button.

FAQs on Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length

What is the formula to find Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length?

The formula of Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length is expressed as Total Surface Area of Truncated Dodecahedron = (sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Dodecahedral Edge Length of Truncated Dodecahedron^2. Here is an example- 9775.906 = (sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*22^2.

How to calculate Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length?

With Dodecahedral Edge Length of Truncated Dodecahedron (l_{e(Dodecahedron)}) we can find Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length using the formula - Total Surface Area of Truncated Dodecahedron = (sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Dodecahedral Edge Length of Truncated Dodecahedron^2. This formula also uses Square Root Function function(s).

What are the other ways to Calculate Total Surface Area of Truncated Dodecahedron?

Here are the different ways to Calculate Total Surface Area of Truncated Dodecahedron-

Total Surface Area of Truncated Dodecahedron=5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Edge Length of Truncated Dodecahedron^2
Total Surface Area of Truncated Dodecahedron=5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(2/3)
Total Surface Area of Truncated Dodecahedron=5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*((4*Circumsphere Radius of Truncated Dodecahedron)/(sqrt(74+(30*sqrt(5)))))^2

Can the Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length be negative?

No, the Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length?

Total Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length 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 Truncated Dodecahedron given Dodecahedral Edge Length can be measured.

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