Total Surface Area of Stellated Octahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron.ⓘ Surface to Volume Ratio of Stellated Octahedron [R_A/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 Surface to Volume Ratio [TSA]

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Total Surface Area of Stellated Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
TSA = (3/2)*sqrt(3)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*R_A/V))^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.
Surface to Volume Ratio of Stellated Octahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Stellated Octahedron: 1.4 1 per Meter --> 1.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3/2)*sqrt(3)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*R_A/V))^2) --> (3/2)*sqrt(3)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4))^2)

Evaluating ... ...

TSA = 286.318602883835

STEP 3: Convert Result to Output's Unit

286.318602883835 Square Meter --> No Conversion Required

FINAL ANSWER

286.318602883835 ≈ 286.3186 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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Indian Institute of Information Technology (IIIT), Bhopal

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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 Surface to Volume Ratio Formula

LaTeX Go

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 was depicted in Pacioli's De Divina Proportione, 1509.

How to Calculate Total Surface Area of Stellated Octahedron given Surface to Volume Ratio?

Total Surface Area of Stellated Octahedron given Surface to Volume Ratio calculator uses 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) to calculate the Total Surface Area of Stellated Octahedron, Total Surface Area of Stellated Octahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its surface to volume ratio. Total Surface Area of Stellated Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Stellated Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Stellated Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Stellated Octahedron (R_A/V) and hit the calculate button. Here is how the Total Surface Area of Stellated Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 286.3186 = (3/2)*sqrt(3)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*1.4))^2).

FAQ

What is Total Surface Area of Stellated Octahedron given Surface to Volume Ratio?

Total Surface Area of Stellated Octahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its surface to volume ratio and is represented as TSA = (3/2)*sqrt(3)*((((3/2)*sqrt(3))/((1/8)*sqrt(2)*R_A/V))^2) or 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). Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron.

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

Total Surface Area of Stellated Octahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Stellated Octahedron, calculated using its surface to volume ratio is calculated using 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). To calculate Total Surface Area of Stellated Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Stellated Octahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio 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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