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Total 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{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})}^{2})

TSA - Total Surface Area of Triakis Icosahedron?l_e(Pyramid) - Pyramidal Edge Length of Triakis Icosahedron?

Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length Example

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Here is how the Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length equation looks like with Units.

Here is how the Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length equation looks like.

655.7149 = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{22 \cdot 5}{15 - \sqrt{5}})}^{2})

655.7149m² = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{22 \cdot 5m}{15 - \sqrt{5}})}^{2})

655.7149 = (\frac{15}{11}) \cdot (\sqrt{109 - (30 \cdot \sqrt{5})}) \cdot ({(\frac{22 \cdot 5}{15 - \sqrt{5}})}^{2})

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Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length Solution

Follow our step by step solution on how to calculate Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 655.714899418594m²

LAST Step Rounding Answer

∴

TSA = 655.7149m²

Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length 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

Pyramidal Edge Length of Triakis Icosahedron

Pyramidal Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Icosahedron.

Symbol: l_e(Pyramid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Edge Length 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 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})

Go Total Surface Area of Triakis Icosahedron given Insphere Radius

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})

How to Evaluate Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length?

Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length evaluator uses Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^2) to evaluate the Total Surface Area of Triakis Icosahedron, Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Icosahedron, calculated using pyramidal edge length of Triakis Icosahedron. Total Surface Area of Triakis Icosahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length

What is the formula to find Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length?

The formula of Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length is expressed as Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^2). Here is an example- 655.7149 = (15/11)*(sqrt(109-(30*sqrt(5))))*(((22*5)/(15-sqrt(5)))^2).

How to calculate Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length?

With Pyramidal Edge Length of Triakis Icosahedron (l_e(Pyramid)) we can find Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length using the formula - Total Surface Area of Triakis Icosahedron = (15/11)*(sqrt(109-(30*sqrt(5))))*(((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))^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))))*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(2/3))
Total Surface Area of Triakis Icosahedron=(15/11)*(sqrt(109-(30*sqrt(5))))*(((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5)))^2)

Can the Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length be negative?

No, the Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Triakis Icosahedron given Pyramidal Edge Length?

Total Surface Area of Triakis Icosahedron given Pyramidal Edge 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 Triakis Icosahedron given Pyramidal Edge Length can be measured.

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