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Total Surface Area of Great Icosahedron given Long Ridge Length Formula

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GoTotal Surface Area of Great Icosahedron given Mid 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 {(\frac{10 \cdot l Ridge(Long)}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{2}

TSA - Total Surface Area of Great Icosahedron?l_Ridge(Long) - Long Ridge Length of Great Icosahedron?

Total Surface Area of Great Icosahedron given Long Ridge Length Example

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

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

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

7637.7426 = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{10 \cdot 17}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{2}

7637.7426m² = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{10 \cdot 17m}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{2}

7637.7426 = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{10 \cdot 17}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{2}

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Total Surface Area of Great Icosahedron given Long Ridge Length Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{10 \cdot 17m}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{2}

Next Step Prepare to Evaluate

∴

TSA = 3 \cdot \sqrt{3} \cdot (5 + 4 \cdot \sqrt{5}) \cdot {(\frac{10 \cdot 17}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))})}^{2}

Next Step Evaluate

∴

TSA = 7637.74255131048m²

LAST Step Rounding Answer

∴

TSA = 7637.7426m²

Total Surface Area of Great Icosahedron given Long Ridge Length 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

Long Ridge Length of Great Icosahedron

Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached.

Symbol: l_Ridge(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Ridge 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

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

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 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 given Long Ridge Length?

Total Surface Area of Great Icosahedron given Long Ridge Length evaluator uses 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 to evaluate the Total Surface Area of Great Icosahedron, Total Surface Area of Great Icosahedron given Long Ridge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Great Icosahedron, calculated using long ridge length. Total Surface Area of Great Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Great Icosahedron given Long Ridge Length

What is the formula to find Total Surface Area of Great Icosahedron given Long Ridge Length?

The formula of Total Surface Area of Great Icosahedron given Long Ridge Length is expressed as 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. Here is an example- 7637.743 = 3*sqrt(3)*(5+4*sqrt(5))*((10*17)/(sqrt(2)*(5+(3*sqrt(5)))))^2.

How to calculate Total Surface Area of Great Icosahedron given Long Ridge Length?

With Long Ridge Length of Great Icosahedron (l_Ridge(Long)) we can find Total Surface Area of Great Icosahedron given Long Ridge Length using the formula - 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. 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))*Edge Length of Great Icosahedron^2
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))*((5*Short Ridge Length of Great Icosahedron)/sqrt(10))^2

Can the Total Surface Area of Great Icosahedron given Long Ridge Length be negative?

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

Which unit is used to measure Total Surface Area of Great Icosahedron given Long Ridge Length?

Total Surface Area of Great Icosahedron given Long 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 Icosahedron given Long Ridge Length can be measured.

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