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Total Surface Area of Great Icosahedron Formula

GoTotal Surface Area of Great Icosahedron given Mid Ridge Length Formula

GoTotal Surface Area of Great Icosahedron given Long Ridge Length Formula

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Total Surface Area of Great Icosahedron is the total quantity of plane enclosed on the entire surface of the Great Icosahedron. Check FAQs

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {l e}^{2}

TSA - Total Surface Area of Great Icosahedron?l_e - Edge Length of Great Icosahedron?

Total Surface Area of Great Icosahedron Example

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

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

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

7245.6562 = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot 10^{2}

7245.6562m² = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {10m}^{2}

7245.6562 = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot 10^{2}

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Total Surface Area of Great Icosahedron Solution

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

FIRST Step Consider the formula

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {l e}^{2}

Next Step Substitute values of Variables

∴

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot 10^{2}

Next Step Evaluate

∴

TSA = 7245.65622680222m²

LAST Step Rounding Answer

∴

TSA = 7245.6562m²

Total Surface Area of Great Icosahedron Formula Elements

Variables

Functions

Total Surface Area of Great Icosahedron

Total Surface Area of Great Icosahedron is the total quantity of plane enclosed on the entire surface of the Great Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great Icosahedron

Edge Length of Great Icosahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Icosahedron

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 Icosahedron

Go Total Surface Area of Great Icosahedron given Mid Ridge Length

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}})}^{2}

Go Total Surface Area of Great Icosahedron given Long Ridge Length

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{10 \cdot l Ridge(Long)}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{2}

Go Total Surface Area of Great Icosahedron given Short Ridge Length

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{5 \cdot l Ridge(Short)}{\sqrt{10}})}^{2}

Go Total Surface Area of Great Icosahedron given Circumsphere Radius

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}})}^{2}

How to Evaluate Total Surface Area of Great Icosahedron?

Total Surface Area of Great Icosahedron evaluator uses Total Surface Area of Great Icosahedron = 3*sqrt(3)*(5+4*sqrt(5))*Edge Length of Great Icosahedron^2 to evaluate the Total Surface Area of Great Icosahedron, Total Surface Area of Great Icosahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Great Icosahedron. Total Surface Area of Great Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Great Icosahedron

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

The formula of Total Surface Area of Great Icosahedron is expressed as Total Surface Area of Great Icosahedron = 3*sqrt(3)*(5+4*sqrt(5))*Edge Length of Great Icosahedron^2. Here is an example- 7245.656 = 3*sqrt(3)*(5+4*sqrt(5))*10^2.

How to calculate Total Surface Area of Great Icosahedron?

With Edge Length of Great Icosahedron (l_e) we can find Total Surface Area of Great Icosahedron using the formula - Total Surface Area of Great Icosahedron = 3*sqrt(3)*(5+4*sqrt(5))*Edge Length of Great Icosahedron^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Great Icosahedron=3*sqrt(3)*(5+4*sqrt(5))*((2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5)))^2
Total Surface Area of Great Icosahedron=3*sqrt(3)*(5+4*sqrt(5))*((10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5)))))^2
Total Surface Area of Great Icosahedron=3*sqrt(3)*(5+4*sqrt(5))*((5*Short Ridge Length of Great Icosahedron)/sqrt(10))^2

Can the Total Surface Area of Great Icosahedron be negative?

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

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

Total Surface Area of Great Icosahedron 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 Icosahedron can be measured.

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