Surface to Volume Ratio of Triakis Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3))
RA/V = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(V/(2-sqrt(2)))^(1/3))
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
Surface to Volume Ratio of Triakis Octahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.
Volume of Triakis Octahedron - (Measured in Cubic Meter) - Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Triakis Octahedron: 585 Cubic Meter --> 585 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(V/(2-sqrt(2)))^(1/3)) --> (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(585/(2-sqrt(2)))^(1/3))
Evaluating ... ...
RA/V = 0.625486497382388
STEP 3: Convert Result to Output's Unit
0.625486497382388 1 per Meter --> No Conversion Required
FINAL ANSWER
0.625486497382388 0.625486 1 per Meter <-- Surface to Volume Ratio of Triakis 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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St Joseph's College (SJC), Bengaluru
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Surface to Volume Ratio of Triakis Octahedron Calculators

Surface to Volume Ratio of Triakis Octahedron given Total Surface Area
​ LaTeX ​ Go Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2))))))
Surface to Volume Ratio of Triakis Octahedron given Insphere Radius
​ LaTeX ​ Go Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius of Triakis Octahedron/(sqrt((5+(2*sqrt(2)))/34))))
Surface to Volume Ratio of Triakis Octahedron given Volume
​ LaTeX ​ Go Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3))
Surface to Volume Ratio of Triakis Octahedron given Midsphere Radius
​ LaTeX ​ Go Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron)

Surface to Volume Ratio of Triakis Octahedron given Volume Formula

​LaTeX ​Go
Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3))
RA/V = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(V/(2-sqrt(2)))^(1/3))

What is Triakis Octahedron?

In geometry, a Triakis Octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube. It is a regular octahedron with matching regular triangular pyramids attached to its faces. It has eight vertices with three edges and six vertices with eight edges. Triakis Octahedron has 24 faces, 36 edges and 14 vertices.

How to Calculate Surface to Volume Ratio of Triakis Octahedron given Volume?

Surface to Volume Ratio of Triakis Octahedron given Volume calculator uses Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)) to calculate the Surface to Volume Ratio of Triakis Octahedron, Surface to Volume Ratio of Triakis Octahedron given Volume formula is defined as the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron, calculated using the volume of Triakis Octahedron. Surface to Volume Ratio of Triakis Octahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Triakis Octahedron given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Triakis Octahedron given Volume, enter Volume of Triakis Octahedron (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Triakis Octahedron given Volume calculation can be explained with given input values -> 0.625486 = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(585/(2-sqrt(2)))^(1/3)).

FAQ

What is Surface to Volume Ratio of Triakis Octahedron given Volume?
Surface to Volume Ratio of Triakis Octahedron given Volume formula is defined as the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron, calculated using the volume of Triakis Octahedron and is represented as RA/V = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(V/(2-sqrt(2)))^(1/3)) or Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)). Volume of Triakis Octahedron is the quantity of three-dimensional space enclosed by the entire surface of the Triakis Octahedron.
How to calculate Surface to Volume Ratio of Triakis Octahedron given Volume?
Surface to Volume Ratio of Triakis Octahedron given Volume formula is defined as the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron, calculated using the volume of Triakis Octahedron is calculated using Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)). To calculate Surface to Volume Ratio of Triakis Octahedron given Volume, you need Volume of Triakis Octahedron (V). With our tool, you need to enter the respective value for Volume of Triakis 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 Surface to Volume Ratio of Triakis Octahedron?
In this formula, Surface to Volume Ratio of Triakis Octahedron uses Volume of Triakis Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*(Insphere Radius of Triakis Octahedron/(sqrt((5+(2*sqrt(2)))/34))))
  • Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*2*Midsphere Radius of Triakis Octahedron)
  • Surface to Volume Ratio of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2))))))
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