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Total Surface Area of Triakis Octahedron given Insphere Radius Formula

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

GoTotal Surface Area of Triakis Octahedron given Midsphere 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 = (\frac{204 \cdot {r i}^{2}}{5 + (2 \cdot \sqrt{2})}) \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

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

Total Surface Area of Triakis Octahedron given Insphere Radius Example

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

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

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

254.4996 = (\frac{204 \cdot 4^{2}}{5 + (2 \cdot \sqrt{2})}) \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

254.4996m² = (\frac{204 \cdot {4m}^{2}}{5 + (2 \cdot \sqrt{2})}) \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

254.4996 = (\frac{204 \cdot 4^{2}}{5 + (2 \cdot \sqrt{2})}) \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

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Total Surface Area of Triakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (\frac{204 \cdot {4m}^{2}}{5 + (2 \cdot \sqrt{2})}) \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

Next Step Prepare to Evaluate

∴

TSA = (\frac{204 \cdot 4^{2}}{5 + (2 \cdot \sqrt{2})}) \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

Next Step Evaluate

∴

TSA = 254.499630329958m²

LAST Step Rounding Answer

∴

TSA = 254.4996m²

Total Surface Area of Triakis Octahedron given Insphere Radius Formula Elements

Variables

Functions

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

Insphere Radius of Triakis Octahedron

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

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius 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 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})}

Go Total Surface Area of Triakis Octahedron given Pyramidal Edge Length

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

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

Total Surface Area of Triakis Octahedron given Insphere Radius evaluator uses Total Surface Area of Triakis Octahedron = ((204*Insphere Radius of Triakis Octahedron^2)/(5+(2*sqrt(2))))*sqrt(23-(16*sqrt(2))) to evaluate the Total Surface Area of Triakis Octahedron, The Total Surface Area of Triakis Octahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using the insphere radius of the Triakis Octahedron. Total Surface Area of Triakis Octahedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Triakis Octahedron given Insphere Radius

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

The formula of Total Surface Area of Triakis Octahedron given Insphere Radius is expressed as Total Surface Area of Triakis Octahedron = ((204*Insphere Radius of Triakis Octahedron^2)/(5+(2*sqrt(2))))*sqrt(23-(16*sqrt(2))). Here is an example- 254.4996 = ((204*4^2)/(5+(2*sqrt(2))))*sqrt(23-(16*sqrt(2))).

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

With Insphere Radius of Triakis Octahedron (r_i) we can find Total Surface Area of Triakis Octahedron given Insphere Radius using the formula - Total Surface Area of Triakis Octahedron = ((204*Insphere Radius of Triakis Octahedron^2)/(5+(2*sqrt(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=6*(2*Midsphere Radius of Triakis Octahedron)^2*sqrt(23-(16*sqrt(2)))
Total Surface Area of Triakis Octahedron=6*(Volume of Triakis Octahedron/(2-sqrt(2)))^(2/3)*sqrt(23-(16*sqrt(2)))

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

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

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

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

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