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Total Surface Area of Triakis Icosahedron given Insphere Radius Formula

GoTotal Surface Area of Triakis Icosahedron Formula

GoTotal Surface Area of Triakis Icosahedron given Pyramidal Edge Length Formula

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The Total Surface Area of Triakis Icosahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron. Check FAQs

TSA = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{4 \cdot r i}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{2})

TSA - Total Surface Area of Triakis Icosahedron?r_i - Insphere Radius of Triakis Icosahedron?

Total Surface Area of Triakis Icosahedron given Insphere Radius Example

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

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

Here is how the Total Surface Area of Triakis Icosahedron given Insphere Radius equation looks like.

499.7779 = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{2})

499.7779m² = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{2})

499.7779 = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{2})

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Total Surface Area of Triakis Icosahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

TSA = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{4 \cdot r i}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{2})

Next Step Substitute values of Variables

∴

TSA = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})}^{2})

Next Step Evaluate

∴

TSA = 499.777880007178m²

LAST Step Rounding Answer

∴

TSA = 499.7779m²

Total Surface Area of Triakis Icosahedron given Insphere Radius Formula Elements

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Total Surface Area of Triakis Icosahedron

The Total Surface Area of Triakis Icosahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Triakis 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 Triakis Icosahedron

Go Total Surface Area of Triakis Icosahedron

TSA = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(l e(Icosahedron))}^{2})

Go Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length

TSA = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})}^{2})

Go Total Surface Area of Triakis Icosahedron given Volume

TSA = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{2}{3}})

Go Total Surface Area of Triakis Icosahedron given Midsphere Radius

TSA = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{4 \cdot r m}{1 + \sqrt{5}})}^{2})

How to Evaluate Total Surface Area of Triakis Icosahedron given Insphere Radius?

Total Surface Area of Triakis Icosahedron given Insphere Radius evaluator uses Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)))^2) to evaluate the Total Surface Area of Triakis Icosahedron, Total Surface Area of Triakis Icosahedron given Insphere Radius formula is defined asthe amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron, calculated using insphere radius of Triakis Icosahedon. Total Surface Area of Triakis Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Triakis Icosahedron given Insphere Radius

What is the formula to find Total Surface Area of Triakis Icosahedron given Insphere Radius?

The formula of Total Surface Area of Triakis Icosahedron given Insphere Radius is expressed as Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)))^2). Here is an example- 499.7779 = (15/11)*(sqrt(109-(30*sqrt(5))))*(((4*6)/(sqrt((10*(33+(13*sqrt(5))))/61)))^2).

How to calculate Total Surface Area of Triakis Icosahedron given Insphere Radius?

With Insphere Radius of Triakis Icosahedron (r_i) we can find Total Surface Area of Triakis Icosahedron given Insphere Radius using the formula - Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)))^2). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Triakis Icosahedron=(15/11)*(sqrt(109-(30*sqrt(5))))*((Icosahedral Edge Length of Triakis Icosahedron)^2)
Total Surface Area of Triakis Icosahedron=(15/11)*(sqrt(109-(30*sqrt(5))))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^2)
Total Surface Area of Triakis Icosahedron=(15/11)*(sqrt(109-(30*sqrt(5))))*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(2/3))

Can the Total Surface Area of Triakis Icosahedron given Insphere Radius be negative?

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

Which unit is used to measure Total Surface Area of Triakis Icosahedron given Insphere Radius?

Total Surface Area of Triakis Icosahedron given Insphere 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 Triakis Icosahedron given Insphere Radius can be measured.

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