Total Surface Area of Stellated Octahedron given Volume Calculator

✖Volume of Stellated Octahedron is the total quantity of three dimensional space enclosed by the surface of the Stellated Octahedron.ⓘ Volume of Stellated Octahedron [V]

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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 Volume [TSA]

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Total Surface Area of Stellated Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Volume of Stellated Octahedron - (Measured in Cubic Meter) - Volume of Stellated Octahedron is the total quantity of three dimensional space enclosed by the surface of the Stellated Octahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Stellated Octahedron: 180 Cubic Meter --> 180 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3/2)*sqrt(3)*((8*V/sqrt(2))^(2/3)) --> (3/2)*sqrt(3)*((8*180/sqrt(2))^(2/3))

Evaluating ... ...

TSA = 262.956281231856

STEP 3: Convert Result to Output's Unit

262.956281231856 Square Meter --> No Conversion Required

FINAL ANSWER

262.956281231856 ≈ 262.9563 Square Meter <-- Total Surface Area of Stellated Octahedron

(Calculation completed in 00.009 seconds)

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< Total Surface Area of Stellated Octahedron Calculators

Total Surface Area of Stellated Octahedron given Circumsphere Radius

LaTeX 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

LaTeX 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

LaTeX 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

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

Total Surface Area of Stellated Octahedron given Volume Formula

LaTeX Go

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

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 Total Surface Area of Stellated Octahedron given Volume?

Total Surface Area of Stellated Octahedron given Volume calculator uses Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((8*Volume of Stellated Octahedron/sqrt(2))^(2/3)) to calculate the Total Surface Area of Stellated Octahedron, Total Surface Area of Stellated Octahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its volume. Total Surface Area of Stellated Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Stellated Octahedron given Volume using this online calculator? To use this online calculator for Total Surface Area of Stellated Octahedron given Volume, enter Volume of Stellated Octahedron (V) and hit the calculate button. Here is how the Total Surface Area of Stellated Octahedron given Volume calculation can be explained with given input values -> 262.9563 = (3/2)*sqrt(3)*((8*180/sqrt(2))^(2/3)).

FAQ

What is Total Surface Area of Stellated Octahedron given Volume?

Total Surface Area of Stellated Octahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its volume and is represented as TSA = (3/2)*sqrt(3)*((8*V/sqrt(2))^(2/3)) or Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((8*Volume of Stellated Octahedron/sqrt(2))^(2/3)). Volume of Stellated Octahedron is the total quantity of three dimensional space enclosed by the surface of the Stellated Octahedron.

How to calculate Total Surface Area of Stellated Octahedron given Volume?

Total Surface Area of Stellated Octahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its volume is calculated using Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((8*Volume of Stellated Octahedron/sqrt(2))^(2/3)). To calculate Total Surface Area of Stellated Octahedron given Volume, you need Volume of Stellated Octahedron (V). With our tool, you need to enter the respective value for Volume 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 Volume of Stellated Octahedron. We can use 3 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)*((2*Edge Length of Peaks of Stellated Octahedron)^2)
Total Surface Area of Stellated Octahedron = (3/2)*sqrt(3)*((4*Circumsphere Radius of Stellated Octahedron/sqrt(6))^2)

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