Edge Length of Peaks of Stellated Octahedron given Total Surface Area Calculator

✖Total Surface Area of Stellated Octahedron is the total quantity of plane enclosed on the entire surface of the Stellated Octahedron.ⓘ Total Surface Area of Stellated Octahedron [TSA]

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✖Edge Length of Peaks of Stellated Octahedron is the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron.ⓘ Edge Length of Peaks of Stellated Octahedron given Total Surface Area [l_e(Peaks)]

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Edge Length of Peaks of Stellated Octahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Peaks of Stellated Octahedron = (1/2)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3))))
l_e(Peaks) = (1/2)*(sqrt((2*TSA)/(3*sqrt(3))))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Edge Length of Peaks of Stellated Octahedron - (Measured in Meter) - Edge Length of Peaks of Stellated Octahedron is the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron.
Total Surface Area of Stellated Octahedron - (Measured in Square Meter) - Total Surface Area of Stellated Octahedron is the total quantity of plane enclosed on the entire surface of the Stellated Octahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Stellated Octahedron: 260 Square Meter --> 260 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Peaks) = (1/2)*(sqrt((2*TSA)/(3*sqrt(3)))) --> (1/2)*(sqrt((2*260)/(3*sqrt(3))))

Evaluating ... ...

l_e(Peaks) = 5.00185082393345

STEP 3: Convert Result to Output's Unit

5.00185082393345 Meter --> No Conversion Required

FINAL ANSWER

5.00185082393345 ≈ 5.001851 Meter <-- Edge Length of Peaks of Stellated Octahedron

(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Edge Length of Peaks of Stellated Octahedron Calculators

Edge Length of Peaks of Stellated Octahedron given Total Surface Area

LaTeX Go Edge Length of Peaks of Stellated Octahedron = (1/2)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3))))

Edge Length of Peaks of Stellated Octahedron given Circumsphere Radius

LaTeX Go Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))

Edge Length of Peaks of Stellated Octahedron given Volume

LaTeX Go Edge Length of Peaks of Stellated Octahedron = (1/2)*((8*Volume of Stellated Octahedron/sqrt(2))^(1/3))

Edge Length of Peaks of Stellated Octahedron

LaTeX Go Edge Length of Peaks of Stellated Octahedron = Edge Length of Stellated Octahedron/2

Edge Length of Peaks of Stellated Octahedron given Total Surface Area Formula

LaTeX Go

Edge Length of Peaks of Stellated Octahedron = (1/2)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3))))
l_e(Peaks) = (1/2)*(sqrt((2*TSA)/(3*sqrt(3))))

What is Stellated Octahedron?

The Stellated Octahedron is the only stellation of the octahedron. It is also called the stella octangula, a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers.
It is the simplest of five regular polyhedral compounds, and the only regular compound of two tetrahedra. It is also the least dense of the regular polyhedral compounds, having a density of 2.

How to Calculate Edge Length of Peaks of Stellated Octahedron given Total Surface Area?

Edge Length of Peaks of Stellated Octahedron given Total Surface Area calculator uses Edge Length of Peaks of Stellated Octahedron = (1/2)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))) to calculate the Edge Length of Peaks of Stellated Octahedron, Edge Length of Peaks of Stellated Octahedron given Total Surface Area formula is defined as the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron, calculated using its total surface area. Edge Length of Peaks of Stellated Octahedron is denoted by l_e(Peaks) symbol.

How to calculate Edge Length of Peaks of Stellated Octahedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Peaks of Stellated Octahedron given Total Surface Area, enter Total Surface Area of Stellated Octahedron (TSA) and hit the calculate button. Here is how the Edge Length of Peaks of Stellated Octahedron given Total Surface Area calculation can be explained with given input values -> 5.001851 = (1/2)*(sqrt((2*260)/(3*sqrt(3)))).

FAQ

What is Edge Length of Peaks of Stellated Octahedron given Total Surface Area?

Edge Length of Peaks of Stellated Octahedron given Total Surface Area formula is defined as the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron, calculated using its total surface area and is represented as l_e(Peaks) = (1/2)*(sqrt((2*TSA)/(3*sqrt(3)))) or Edge Length of Peaks of Stellated Octahedron = (1/2)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))). Total Surface Area of Stellated Octahedron is the total quantity of plane enclosed on the entire surface of the Stellated Octahedron.

How to calculate Edge Length of Peaks of Stellated Octahedron given Total Surface Area?

Edge Length of Peaks of Stellated Octahedron given Total Surface Area formula is defined as the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron, calculated using its total surface area is calculated using Edge Length of Peaks of Stellated Octahedron = (1/2)*(sqrt((2*Total Surface Area of Stellated Octahedron)/(3*sqrt(3)))). To calculate Edge Length of Peaks of Stellated Octahedron given Total Surface Area, you need Total Surface Area of Stellated Octahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Stellated Octahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Edge Length of Peaks of Stellated Octahedron?

In this formula, Edge Length of Peaks of Stellated Octahedron uses Total Surface Area of Stellated Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Peaks of Stellated Octahedron = Edge Length of Stellated Octahedron/2
Edge Length of Peaks of Stellated Octahedron = (1/2)*(4*Circumsphere Radius of Stellated Octahedron/sqrt(6))
Edge Length of Peaks of Stellated Octahedron = (1/2)*((8*Volume of Stellated Octahedron/sqrt(2))^(1/3))

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