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Total Surface Area of Triakis Octahedron Formula

GoTotal Surface Area of Triakis Octahedron given Surface to Volume Ratio Formula

GoTotal Surface Area of Triakis Octahedron given Insphere Radius Formula

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Total Surface Area of Triakis Octahedron is the total quantity of plane enclosed on the entire surface of the Triakis Octahedron. Check FAQs

TSA = 6 \cdot {(l e(Octahedron))}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

TSA - Total Surface Area of Triakis Octahedron?l_{e(Octahedron)} - Octahedral Edge Length of Triakis Octahedron?

Total Surface Area of Triakis Octahedron Example

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Here is how the Total Surface Area of Triakis Octahedron equation looks like with Values.

Here is how the Total Surface Area of Triakis Octahedron equation looks like with Units.

Here is how the Total Surface Area of Triakis Octahedron equation looks like.

366.2375 = 6 \cdot {(10)}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

366.2375m² = 6 \cdot {(10m)}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

366.2375 = 6 \cdot {(10)}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

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Total Surface Area of Triakis Octahedron Solution

Follow our step by step solution on how to calculate Total Surface Area of Triakis Octahedron?

FIRST Step Consider the formula

TSA = 6 \cdot {(l e(Octahedron))}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

Next Step Substitute values of Variables

∴

TSA = 6 \cdot {(10m)}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

Next Step Prepare to Evaluate

∴

TSA = 6 \cdot {(10)}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

Next Step Evaluate

∴

TSA = 366.237464947228m²

LAST Step Rounding Answer

∴

TSA = 366.2375m²

Total Surface Area of Triakis Octahedron Formula Elements

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Total Surface Area of Triakis Octahedron

Total Surface Area of Triakis Octahedron is the total quantity of plane enclosed on the entire surface of the Triakis Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Triakis Octahedron

Octahedral Edge Length of Triakis Octahedron

Octahedral Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron.

Symbol: l_{e(Octahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Octahedral Edge Length of Triakis Octahedron

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 Octahedron

Go Total Surface Area of Triakis Octahedron given Surface to Volume Ratio

TSA = 6 \cdot {(\frac{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}{(2 - \sqrt{2}) \cdot R A/V})}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

Go Total Surface Area of Triakis Octahedron given Insphere Radius

TSA = (\frac{204 \cdot {r i}^{2}}{5 + (2 \cdot \sqrt{2})}) \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

Go Total Surface Area of Triakis Octahedron given Midsphere Radius

TSA = 6 \cdot {(2 \cdot r m)}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

Go Total Surface Area of Triakis Octahedron given Volume

TSA = 6 \cdot {(\frac{V}{2 - \sqrt{2}})}^{\frac{2}{3}} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

How to Evaluate Total Surface Area of Triakis Octahedron?

Total Surface Area of Triakis Octahedron evaluator uses Total Surface Area of Triakis Octahedron = 6*(Octahedral Edge Length of Triakis Octahedron)^2*sqrt(23-(16*sqrt(2))) to evaluate the Total Surface Area of Triakis Octahedron, Total Surface Area of Triakis Octahedron formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron. Total Surface Area of Triakis Octahedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Triakis Octahedron using this online evaluator? To use this online evaluator for Total Surface Area of Triakis Octahedron, enter Octahedral Edge Length of Triakis Octahedron (l_{e(Octahedron)}) and hit the calculate button.

FAQs on Total Surface Area of Triakis Octahedron

What is the formula to find Total Surface Area of Triakis Octahedron?

The formula of Total Surface Area of Triakis Octahedron is expressed as Total Surface Area of Triakis Octahedron = 6*(Octahedral Edge Length of Triakis Octahedron)^2*sqrt(23-(16*sqrt(2))). Here is an example- 366.2375 = 6*(10)^2*sqrt(23-(16*sqrt(2))).

How to calculate Total Surface Area of Triakis Octahedron?

With Octahedral Edge Length of Triakis Octahedron (l_{e(Octahedron)}) we can find Total Surface Area of Triakis Octahedron using the formula - Total Surface Area of Triakis Octahedron = 6*(Octahedral Edge Length of Triakis Octahedron)^2*sqrt(23-(16*sqrt(2))). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Triakis Octahedron=6*((6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron))^2*sqrt(23-(16*sqrt(2)))
Total Surface Area of Triakis Octahedron=((204*Insphere Radius of Triakis Octahedron^2)/(5+(2*sqrt(2))))*sqrt(23-(16*sqrt(2)))
Total Surface Area of Triakis Octahedron=6*(2*Midsphere Radius of Triakis Octahedron)^2*sqrt(23-(16*sqrt(2)))

Can the Total Surface Area of Triakis Octahedron be negative?

No, the Total Surface Area of Triakis Octahedron, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Triakis Octahedron?

Total Surface Area of Triakis Octahedron 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 Octahedron can be measured.

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