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Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord Formula

GoTotal Surface Area of Great Stellated Dodecahedron Formula

GoTotal Surface Area of Great Stellated Dodecahedron given Ridge Length 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{l c(Pentagram)}{2 + \sqrt{5}})}^{2}

TSA - Total Surface Area of Great Stellated Dodecahedron?l_c(Pentagram) - Pentagram Chord of Great Stellated Dodecahedron?

Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord Example

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

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

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

4538.2452 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{42}{2 + \sqrt{5}})}^{2}

4538.2452m² = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{42m}{2 + \sqrt{5}})}^{2}

4538.2452 = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{42}{2 + \sqrt{5}})}^{2}

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Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{42m}{2 + \sqrt{5}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{42}{2 + \sqrt{5}})}^{2}

Next Step Evaluate

∴

TSA = 4538.24522956981m²

LAST Step Rounding Answer

∴

TSA = 4538.2452m²

Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord Formula Elements

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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

Pentagram Chord of Great Stellated Dodecahedron

Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron.

Symbol: l_c(Pentagram)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagram Chord 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 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 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 Pentagram Chord?

Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord evaluator uses Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*(Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)))^2 to evaluate the Total Surface Area of Great Stellated Dodecahedron, Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord formula is the total quantity of plane enclosed by the entire surface of the Great Stellated Dodecahedron, calculated using its pentagram chord. Total Surface Area of Great Stellated Dodecahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord

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

The formula of Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord is expressed as Total Surface Area of Great Stellated Dodecahedron = 15*sqrt(5+(2*sqrt(5)))*(Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)))^2. Here is an example- 4538.245 = 15*sqrt(5+(2*sqrt(5)))*(42/(2+sqrt(5)))^2.

How to calculate Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord?

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

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

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

Total Surface Area of Great Stellated Dodecahedron given Pentagram Chord 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 Pentagram Chord can be measured.

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