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

✖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 [l_e(Peaks)]

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✖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 given Edge Length of Peaks [TSA]

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Formula

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Total Surface Area of Stellated Octahedron given Edge Length of Peaks

Formula

`"TSA" = (3/2)*sqrt(3)*((2*"l"_{"e(Peaks)"})^2)`

Example

`"259.8076m²"=(3/2)*sqrt(3)*((2*"5m")^2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Peaks of Stellated Octahedron: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3/2)*sqrt(3)*((2*l_e(Peaks))^2) --> (3/2)*sqrt(3)*((2*5)^2)

Evaluating ... ...

TSA = 259.807621135332

STEP 3: Convert Result to Output's Unit

259.807621135332 Square Meter --> No Conversion Required

FINAL ANSWER

259.807621135332 ≈ 259.8076 Square Meter <-- Total Surface Area of Stellated Octahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 5 Total Surface Area of Stellated Octahedron Calculators

Total Surface Area of Stellated Octahedron given Surface to Volume Ratio

Go Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron))^2)

Total Surface Area of Stellated Octahedron given Circumsphere Radius

Go Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^2)

Total Surface Area of Stellated Octahedron given Volume

Go Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((8*Volume of Stellated Octahedron/sqrt(2))^(2/3))

Total Surface Area of Stellated Octahedron given Edge Length of Peaks

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

Total Surface Area of Stellated Octahedron

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

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

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

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

Total Surface Area of Stellated Octahedron given Edge Length of Peaks calculator uses Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((2*Edge Length of Peaks of Stellated Octahedron)^2) to calculate the Total Surface Area of Stellated Octahedron, Total Surface Area of Stellated Octahedron given Edge Length of Peaks formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its edge length of peaks. Total Surface Area of Stellated Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Stellated Octahedron given Edge Length of Peaks using this online calculator? To use this online calculator for Total Surface Area of Stellated Octahedron given Edge Length of Peaks, enter Edge Length of Peaks of Stellated Octahedron (l_e(Peaks)) and hit the calculate button. Here is how the Total Surface Area of Stellated Octahedron given Edge Length of Peaks calculation can be explained with given input values -> 259.8076 = (3/2)*sqrt(3)*((2*5)^2).

FAQ

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

Total Surface Area of Stellated Octahedron given Edge Length of Peaks formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its edge length of peaks and is represented as TSA = (3/2)*sqrt(3)*((2*l_e(Peaks))^2) or Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((2*Edge Length of Peaks of Stellated Octahedron)^2). 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.

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

Total Surface Area of Stellated Octahedron given Edge Length of Peaks formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its edge length of peaks is calculated using Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((2*Edge Length of Peaks of Stellated Octahedron)^2). To calculate Total Surface Area of Stellated Octahedron given Edge Length of Peaks, you need Edge Length of Peaks of Stellated Octahedron (l_e(Peaks)). With our tool, you need to enter the respective value for Edge Length of Peaks 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 Total Surface Area of Stellated Octahedron?

In this formula, Total Surface Area of Stellated Octahedron uses Edge Length of Peaks of Stellated Octahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*Edge Length of Stellated Octahedron^2
Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^2)
Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((8*Volume of Stellated Octahedron/sqrt(2))^(2/3))
Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*Surface to Volume Ratio of Stellated Octahedron))^2)

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