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Total Surface Area of Dodecahedron given Perimeter Formula

GoTotal Surface Area of Dodecahedron Formula

GoTotal Surface Area of Dodecahedron given Volume 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 {(\frac{P}{30})}^{2}

TSA - Total Surface Area of Dodecahedron?P - Perimeter of Dodecahedron?

Total Surface Area of Dodecahedron given Perimeter Example

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

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

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

2064.5729 = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300}{30})}^{2}

2064.5729m² = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300m}{30})}^{2}

2064.5729 = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300}{30})}^{2}

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Total Surface Area of Dodecahedron given Perimeter Solution

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

FIRST Step Consider the formula

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{P}{30})}^{2}

Next Step Substitute values of Variables

∴

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300m}{30})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300}{30})}^{2}

Next Step Evaluate

∴

TSA = 2064.57288070676m²

LAST Step Rounding Answer

∴

TSA = 2064.5729m²

Total Surface Area of Dodecahedron given Perimeter 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

Perimeter of Dodecahedron

Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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

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 Diagonal

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot d Face}{1 + \sqrt{5}})}^{2}

Go Total Surface Area of Dodecahedron given Circumsphere Radius

TSA = 3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})})}^{2}

How to Evaluate Total Surface Area of Dodecahedron given Perimeter?

Total Surface Area of Dodecahedron given Perimeter evaluator uses Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*(Perimeter of Dodecahedron/30)^2 to evaluate the Total Surface Area of Dodecahedron, The Total Surface Area of Dodecahedron given Perimeter formula is defined as the quantity of plane enclosed by the entire surface of the Dodecahedron, and calculated using the perimeter of the Dodecahedron. Total Surface Area of Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Dodecahedron given Perimeter

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

The formula of Total Surface Area of Dodecahedron given Perimeter is expressed as Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*(Perimeter of Dodecahedron/30)^2. Here is an example- 2064.573 = 3*sqrt(25+(10*sqrt(5)))*(300/30)^2.

How to calculate Total Surface Area of Dodecahedron given Perimeter?

With Perimeter of Dodecahedron (P) we can find Total Surface Area of Dodecahedron given Perimeter using the formula - Total Surface Area of Dodecahedron = 3*sqrt(25+(10*sqrt(5)))*(Perimeter of Dodecahedron/30)^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)))*Edge Length of Dodecahedron^2
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*sqrt(25+(10*sqrt(5)))*((2*Face Diagonal of Dodecahedron)/(1+sqrt(5)))^2

Can the Total Surface Area of Dodecahedron given Perimeter be negative?

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

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

Total Surface Area of Dodecahedron given Perimeter 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 given Perimeter can be measured.

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