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Total Surface Area of Triakis Tetrahedron given Insphere Radius Formula

GoTotal Surface Area of Triakis Tetrahedron Formula

GoTotal Surface Area of Triakis Tetrahedron given Pyramidal Edge Length Formula

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

TSA = \frac{3}{5} \cdot \sqrt{11} \cdot \frac{11}{2} \cdot \frac{16}{9} \cdot {r i}^{2}

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

Total Surface Area of Triakis Tetrahedron given Insphere Radius Example

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

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

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

486.4383 = \frac{3}{5} \cdot \sqrt{11} \cdot \frac{11}{2} \cdot \frac{16}{9} \cdot 5^{2}

486.4383m² = \frac{3}{5} \cdot \sqrt{11} \cdot \frac{11}{2} \cdot \frac{16}{9} \cdot {5m}^{2}

486.4383 = \frac{3}{5} \cdot \sqrt{11} \cdot \frac{11}{2} \cdot \frac{16}{9} \cdot 5^{2}

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Total Surface Area of Triakis Tetrahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

TSA = \frac{3}{5} \cdot \sqrt{11} \cdot \frac{11}{2} \cdot \frac{16}{9} \cdot {r i}^{2}

Next Step Substitute values of Variables

∴

TSA = \frac{3}{5} \cdot \sqrt{11} \cdot \frac{11}{2} \cdot \frac{16}{9} \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{3}{5} \cdot \sqrt{11} \cdot \frac{11}{2} \cdot \frac{16}{9} \cdot 5^{2}

Next Step Evaluate

∴

TSA = 486.438302585459m²

LAST Step Rounding Answer

∴

TSA = 486.4383m²

Total Surface Area of Triakis Tetrahedron given Insphere Radius Formula Elements

Variables

Functions

Total Surface Area of Triakis Tetrahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Triakis Tetrahedron

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 Tetrahedron

Go Total Surface Area of Triakis Tetrahedron

TSA = (\frac{3}{5}) \cdot {(l e(Tetrahedron))}^{2} \cdot \sqrt{11}

Go Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length

TSA = (\frac{5}{3}) \cdot \sqrt{11} \cdot {(l e(Pyramid))}^{2}

Go Total Surface Area of Triakis Tetrahedron given Height

TSA = (\frac{5}{18}) \cdot \sqrt{11} \cdot (h^{2})

Go Total Surface Area of Triakis Tetrahedron given Volume

TSA = (\frac{3}{5}) \cdot (\sqrt{11}) \cdot {(\frac{20 \cdot V}{3 \cdot \sqrt{2}})}^{\frac{2}{3}}

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

Total Surface Area of Triakis Tetrahedron given Insphere Radius evaluator uses Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2 to evaluate the Total Surface Area of Triakis Tetrahedron, Total Surface Area of Triakis Tetrahedron given Insphere Radius formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using insphere radius of Triakis Tetrahedron. Total Surface Area of Triakis Tetrahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Triakis Tetrahedron given Insphere Radius

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

The formula of Total Surface Area of Triakis Tetrahedron given Insphere Radius is expressed as Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2. Here is an example- 486.4383 = 3/5*sqrt(11)*11/2*16/9*5^2.

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

With Insphere Radius of Triakis Tetrahedron (r_i) we can find Total Surface Area of Triakis Tetrahedron given Insphere Radius using the formula - Total Surface Area of Triakis Tetrahedron = 3/5*sqrt(11)*11/2*16/9*Insphere Radius of Triakis Tetrahedron^2. This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Triakis Tetrahedron=(3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11)
Total Surface Area of Triakis Tetrahedron=(5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2
Total Surface Area of Triakis Tetrahedron=(5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)

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

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

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

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

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