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Total Surface Area of Triakis Octahedron given Pyramidal Edge Length 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 {(\frac{l e(Pyramid)}{2 - \sqrt{2}})}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

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

Total Surface Area of Triakis Octahedron given Pyramidal Edge Length Example

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

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

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

384.2259 = 6 \cdot {(\frac{6}{2 - \sqrt{2}})}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

384.2259m² = 6 \cdot {(\frac{6m}{2 - \sqrt{2}})}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

384.2259 = 6 \cdot {(\frac{6}{2 - \sqrt{2}})}^{2} \cdot \sqrt{23 - (16 \cdot \sqrt{2})}

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Total Surface Area of Triakis Octahedron given Pyramidal Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 384.225907463407m²

LAST Step Rounding Answer

∴

TSA = 384.2259m²

Total Surface Area of Triakis Octahedron given Pyramidal Edge Length 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

Pyramidal Edge Length of Triakis Octahedron

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

Symbol: l_e(Pyramid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal 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 given Pyramidal Edge Length?

Total Surface Area of Triakis Octahedron given Pyramidal Edge Length evaluator uses Total Surface Area of Triakis Octahedron = 6*(Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2))) to evaluate the Total Surface Area of Triakis Octahedron, The Total Surface Area of Triakis Octahedron given Pyramidal Edge Length formula is defined as the total quantity of plane enclosed on the entire surface of the Triakis Octahedron, calculated using the pyramidal edge length 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 Pyramidal Edge Length using this online evaluator? To use this online evaluator for Total Surface Area of Triakis Octahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)) and hit the calculate button.

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

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

The formula of Total Surface Area of Triakis Octahedron given Pyramidal Edge Length is expressed as Total Surface Area of Triakis Octahedron = 6*(Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2))). Here is an example- 384.2259 = 6*(6/(2-sqrt(2)))^2*sqrt(23-(16*sqrt(2))).

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

With Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)) we can find Total Surface Area of Triakis Octahedron given Pyramidal Edge Length using the formula - Total Surface Area of Triakis Octahedron = 6*(Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2)))^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 given Pyramidal Edge Length be negative?

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

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

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

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