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Total Surface Area of Truncated Icosahedron given Circumsphere Radius Formula

GoTotal Surface Area of Truncated Icosahedron Formula

GoTotal Surface Area of Truncated Icosahedron given Icosahedral Edge Length Formula

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

TSA = 3 \cdot {(\frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

TSA - Total Surface Area of Truncated Icosahedron?r_c - Circumsphere Radius of Truncated Icosahedron?

Total Surface Area of Truncated Icosahedron given Circumsphere Radius Example

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Here is how the Total Surface Area of Truncated Icosahedron given Circumsphere Radius equation looks like with Values.

Here is how the Total Surface Area of Truncated Icosahedron given Circumsphere Radius equation looks like with Units.

Here is how the Total Surface Area of Truncated Icosahedron given Circumsphere Radius equation looks like.

7390.1096 = 3 \cdot {(\frac{4 \cdot 25}{\sqrt{58 + (18 \cdot \sqrt{5})}})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

7390.1096m² = 3 \cdot {(\frac{4 \cdot 25m}{\sqrt{58 + (18 \cdot \sqrt{5})}})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

7390.1096 = 3 \cdot {(\frac{4 \cdot 25}{\sqrt{58 + (18 \cdot \sqrt{5})}})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

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Total Surface Area of Truncated Icosahedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Total Surface Area of Truncated Icosahedron given Circumsphere Radius?

FIRST Step Consider the formula

TSA = 3 \cdot {(\frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Next Step Substitute values of Variables

∴

TSA = 3 \cdot {(\frac{4 \cdot 25m}{\sqrt{58 + (18 \cdot \sqrt{5})}})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Next Step Prepare to Evaluate

∴

TSA = 3 \cdot {(\frac{4 \cdot 25}{\sqrt{58 + (18 \cdot \sqrt{5})}})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Next Step Evaluate

∴

TSA = 7390.10959856906m²

LAST Step Rounding Answer

∴

TSA = 7390.1096m²

Total Surface Area of Truncated Icosahedron given Circumsphere Radius Formula Elements

Variables

Functions

Total Surface Area of Truncated Icosahedron

Total Surface Area of Truncated Icosahedron is the total quantity of plane enclosed by the entire surface of the Truncated Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Icosahedron

Circumsphere Radius of Truncated Icosahedron

Circumsphere Radius of Truncated Icosahedron is the radius of the sphere that contains the Truncated Icosahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated 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 Truncated Icosahedron

Go Total Surface Area of Truncated Icosahedron

TSA = 3 \cdot {l e}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Go Total Surface Area of Truncated Icosahedron given Icosahedral Edge Length

TSA = \frac{{l e(Icosahedron)}^{2}}{3} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Go Total Surface Area of Truncated Icosahedron given Volume

TSA = 3 \cdot {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{2}{3}} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

Go Total Surface Area of Truncated Icosahedron given Midsphere Radius

TSA = 3 \cdot {(\frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})})}^{2} \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})

How to Evaluate Total Surface Area of Truncated Icosahedron given Circumsphere Radius?

Total Surface Area of Truncated Icosahedron given Circumsphere Radius evaluator uses Total Surface Area of Truncated Icosahedron = 3*((4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5)))))^2*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))) to evaluate the Total Surface Area of Truncated Icosahedron, Total Surface Area of Truncated Icosahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Icosahedron, and calculated using the circumsphere radius of the Truncated Icosahedron. Total Surface Area of Truncated Icosahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Truncated Icosahedron given Circumsphere Radius using this online evaluator? To use this online evaluator for Total Surface Area of Truncated Icosahedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Icosahedron (r_c) and hit the calculate button.

FAQs on Total Surface Area of Truncated Icosahedron given Circumsphere Radius

What is the formula to find Total Surface Area of Truncated Icosahedron given Circumsphere Radius?

The formula of Total Surface Area of Truncated Icosahedron given Circumsphere Radius is expressed as Total Surface Area of Truncated Icosahedron = 3*((4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5)))))^2*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))). Here is an example- 7390.11 = 3*((4*25)/(sqrt(58+(18*sqrt(5)))))^2*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))).

How to calculate Total Surface Area of Truncated Icosahedron given Circumsphere Radius?

With Circumsphere Radius of Truncated Icosahedron (r_c) we can find Total Surface Area of Truncated Icosahedron given Circumsphere Radius using the formula - Total Surface Area of Truncated Icosahedron = 3*((4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5)))))^2*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Truncated Icosahedron=3*Edge Length of Truncated Icosahedron^2*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))
Total Surface Area of Truncated Icosahedron=(Icosahedral Edge Length of Truncated Icosahedron^2)/3*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))
Total Surface Area of Truncated Icosahedron=3*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(2/3)*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))

Can the Total Surface Area of Truncated Icosahedron given Circumsphere Radius be negative?

No, the Total Surface Area of Truncated Icosahedron given Circumsphere Radius, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Truncated Icosahedron given Circumsphere Radius?

Total Surface Area of Truncated Icosahedron given Circumsphere Radius 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 Truncated Icosahedron given Circumsphere Radius can be measured.

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