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Total Surface Area of Great Stellated Dodecahedron Formula

GoTotal Surface Area of Great Stellated Dodecahedron given Ridge Length Formula

GoTotal Surface Area of Great Stellated Dodecahedron given Pentagram Chord Formula

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

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {l e}^{2}

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

Total Surface Area of Great Stellated Dodecahedron Example

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

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

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

4616.5253 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot 10^{2}

4616.5253m² = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {10m}^{2}

4616.5253 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot 10^{2}

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Total Surface Area of Great Stellated Dodecahedron Solution

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

FIRST Step Consider the formula

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {l e}^{2}

Next Step Substitute values of Variables

∴

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot 10^{2}

Next Step Evaluate

∴

TSA = 4616.52530576288m²

LAST Step Rounding Answer

∴

TSA = 4616.5253m²

Total Surface Area of Great Stellated Dodecahedron Formula Elements

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Total Surface Area of Great Stellated Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great Stellated Dodecahedron

Edge Length of Great Stellated Dodecahedron

Edge Length of Great Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Stellated 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 Great Stellated Dodecahedron

Go Total Surface Area of Great Stellated Dodecahedron given Ridge Length

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot l Ridge}{1 + \sqrt{5}})}^{2}

Go Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{l c(Pentagram)}{2 + \sqrt{5}})}^{2}

Go Total Surface Area of Great Stellated Dodecahedron given Circumradius

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{2}

Go Total Surface Area of Great Stellated Dodecahedron given Pyramidal Height

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{2}

How to Evaluate Total Surface Area of Great Stellated Dodecahedron?

Total Surface Area of Great Stellated Dodecahedron evaluator uses Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*Edge Length of Great Stellated Dodecahedron^2 to evaluate the Total Surface Area of Great Stellated Dodecahedron, Total Surface Area of Great Stellated Dodecahedron formula is the total quantity of plane enclosed by the entire surface of the Great Stellated Dodecahedron. Total Surface Area of Great Stellated Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Great Stellated Dodecahedron

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

The formula of Total Surface Area of Great Stellated Dodecahedron is expressed as Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*Edge Length of Great Stellated Dodecahedron^2. Here is an example- 4616.525 = 15*sqrt(5+(2*sqrt(5)))*10^2.

How to calculate Total Surface Area of Great Stellated Dodecahedron?

With Edge Length of Great Stellated Dodecahedron (l_e) we can find Total Surface Area of Great Stellated Dodecahedron using the formula - Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*Edge Length of Great Stellated Dodecahedron^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Great Stellated Dodecahedron=15*sqrt(5+(2*sqrt(5)))*((2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)))^2
Total Surface Area of Great Stellated Dodecahedron=15*sqrt(5+(2*sqrt(5)))*(Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)))^2
Total Surface Area of Great Stellated Dodecahedron=15*sqrt(5+(2*sqrt(5)))*((4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))))^2

Can the Total Surface Area of Great Stellated Dodecahedron be negative?

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

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

Total Surface Area of Great Stellated 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 Great Stellated Dodecahedron can be measured.

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