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Total Surface Area of Truncated Dodecahedron Formula

GoTotal Surface Area of Truncated Dodecahedron given Dodecahedral Edge Length 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 = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {l e}^{2}

TSA - Total Surface Area of Truncated Dodecahedron?l_e - Edge Length of Truncated Dodecahedron?

Total Surface Area of Truncated Dodecahedron Example

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

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

Here is how the Total Surface Area of Truncated Dodecahedron equation looks like.

10099.076 = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot 10^{2}

10099.076m² = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {10m}^{2}

10099.076 = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot 10^{2}

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Total Surface Area of Truncated Dodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = 5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})})) \cdot 10^{2}

Next Step Evaluate

∴

TSA = 10099.0760153102m²

LAST Step Rounding Answer

∴

TSA = 10099.076m²

Total Surface Area of Truncated Dodecahedron 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

Edge Length of Truncated Dodecahedron

Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 given Dodecahedral Edge Length

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

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

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

FAQs on Total Surface Area of Truncated Dodecahedron

What is the formula to find Total Surface Area of Truncated Dodecahedron?

The formula of Total Surface Area of Truncated Dodecahedron is expressed as Total Surface Area of Truncated Dodecahedron = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Edge Length of Truncated Dodecahedron^2. Here is an example- 10099.08 = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*10^2.

How to calculate Total Surface Area of Truncated Dodecahedron?

With Edge Length of Truncated Dodecahedron (l_e) we can find Total Surface Area of Truncated Dodecahedron using the formula - Total Surface Area of Truncated Dodecahedron = 5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*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=(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))*Dodecahedral 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 be negative?

No, the Total Surface Area of Truncated Dodecahedron, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Truncated Dodecahedron?

Total Surface Area of Truncated Dodecahedron 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 can be measured.

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