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Total Surface Area of Great Stellated Dodecahedron given Ridge Length Formula

GoTotal Surface Area of Great Stellated Dodecahedron 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 {(\frac{2 \cdot l Ridge}{1 + \sqrt{5}})}^{2}

TSA - Total Surface Area of Great Stellated Dodecahedron?l_Ridge - Ridge Length of Great Stellated Dodecahedron?

Total Surface Area of Great Stellated Dodecahedron given Ridge Length Example

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

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

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

4514.1907 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

4514.1907m² = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16m}{1 + \sqrt{5}})}^{2}

4514.1907 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

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Total Surface Area of Great Stellated Dodecahedron given Ridge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16m}{1 + \sqrt{5}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

Next Step Evaluate

∴

TSA = 4514.19073760619m²

LAST Step Rounding Answer

∴

TSA = 4514.1907m²

Total Surface Area of Great Stellated Dodecahedron given Ridge Length Formula Elements

Variables

Functions

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

Ridge Length of Great Stellated Dodecahedron

Ridge Length of Great Stellated Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Stellated Dodecahedron.

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge 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

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

Total Surface Area of Great Stellated Dodecahedron given Ridge Length evaluator uses Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*((2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)))^2 to evaluate the Total Surface Area of Great Stellated Dodecahedron, Total Surface Area of Great Stellated Dodecahedron given Ridge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Great Stellated Dodecahedron, calculated using its ridge length. Total Surface Area of Great Stellated Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Great Stellated Dodecahedron given Ridge Length

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

The formula of Total Surface Area of Great Stellated Dodecahedron given Ridge Length is expressed as Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*((2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)))^2. Here is an example- 4514.191 = 15*sqrt(5+(2*sqrt(5)))*((2*16)/(1+sqrt(5)))^2.

How to calculate Total Surface Area of Great Stellated Dodecahedron given Ridge Length?

With Ridge Length of Great Stellated Dodecahedron (l_Ridge) we can find Total Surface Area of Great Stellated Dodecahedron given Ridge Length using the formula - Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*((2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)))^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)))*Edge Length of Great Stellated Dodecahedron^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 given Ridge Length be negative?

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

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

Total Surface Area of Great Stellated Dodecahedron given Ridge 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 Great Stellated Dodecahedron given Ridge Length can be measured.

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