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Total Surface Area of Dodecahedron Formula

GoTotal Surface Area of Dodecahedron given Volume Formula

GoTotal Surface Area of Dodecahedron given Face Perimeter Formula

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

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

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

Total Surface Area of Dodecahedron Example

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

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

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

2064.5729 = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 10^{2}

2064.5729m² = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {10m}^{2}

2064.5729 = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 10^{2}

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Total Surface Area of Dodecahedron Solution

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

FIRST Step Consider the formula

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Next Step Substitute values of Variables

∴

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot 10^{2}

Next Step Evaluate

∴

TSA = 2064.57288070676m²

LAST Step Rounding Answer

∴

TSA = 2064.5729m²

Total Surface Area of Dodecahedron Formula Elements

Variables

Functions

Total Surface Area of Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Dodecahedron

Edge Length of Dodecahedron

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of 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 Dodecahedron

Go Total Surface Area of Dodecahedron given Volume

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{2}{3}}

Go Total Surface Area of Dodecahedron given Face Perimeter

TSA = \frac{3}{25} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {P Face}^{2}

Other formulas in Total Surface Area of Dodecahedron category

Go Face Area of Dodecahedron

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Face Area of Dodecahedron given Midsphere Radius

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r m}{3 + \sqrt{5}})}^{2}

Go Lateral Surface Area of Dodecahedron

LSA = \frac{5}{2} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Lateral Surface Area of Dodecahedron given Total Surface Area

LSA = \frac{5}{6} \cdot TSA

How to Evaluate Total Surface Area of Dodecahedron?

Total Surface Area of Dodecahedron evaluator uses Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2 to evaluate the Total Surface Area of Dodecahedron, Total Surface Area of Dodecahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Dodecahedron. Total Surface Area of Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Dodecahedron

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

The formula of Total Surface Area of Dodecahedron is expressed as Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2. Here is an example- 2064.573 = 3*sqrt(25+(10*sqrt(5)))*10^2.

How to calculate Total Surface Area of Dodecahedron?

With Edge Length of Dodecahedron (l_e) we can find Total Surface Area of Dodecahedron using the formula - Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Dodecahedron=3*sqrt(25+(10*sqrt(5)))*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(2/3)
Total Surface Area of Dodecahedron=3/25*sqrt(25+(10*sqrt(5)))*Face Perimeter of Dodecahedron^2

Can the Total Surface Area of Dodecahedron be negative?

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

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

Total Surface Area of 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 Dodecahedron can be measured.

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