Surface to Volume Ratio of Rhombicuboctahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Edge Length of Rhombicuboctahedron*(6+(5*sqrt(2))))
RA/V = (3*(9+sqrt(3)))/(le*(6+(5*sqrt(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
Surface to Volume Ratio of Rhombicuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.
Edge Length of Rhombicuboctahedron - (Measured in Meter) - Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Rhombicuboctahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = (3*(9+sqrt(3)))/(le*(6+(5*sqrt(2)))) --> (3*(9+sqrt(3)))/(10*(6+(5*sqrt(2))))
Evaluating ... ...
RA/V = 0.246316160899112
STEP 3: Convert Result to Output's Unit
0.246316160899112 1 per Meter --> No Conversion Required
FINAL ANSWER
0.246316160899112 0.246316 1 per Meter <-- Surface to Volume Ratio of Rhombicuboctahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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Surface to Volume Ratio of Rhombicuboctahedron Calculators

Surface to Volume Ratio of Rhombicuboctahedron given Circumsphere Radius
​ LaTeX ​ Go Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))*(6+(5*sqrt(2))))
Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius
​ LaTeX ​ Go Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2))))
Surface to Volume Ratio of Rhombicuboctahedron given Volume
​ LaTeX ​ Go Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/(((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)*(6+(5*sqrt(2))))
Surface to Volume Ratio of Rhombicuboctahedron
​ LaTeX ​ Go Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Edge Length of Rhombicuboctahedron*(6+(5*sqrt(2))))

Surface to Volume Ratio of Rhombicuboctahedron Formula

​LaTeX ​Go
Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Edge Length of Rhombicuboctahedron*(6+(5*sqrt(2))))
RA/V = (3*(9+sqrt(3)))/(le*(6+(5*sqrt(2))))

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Surface to Volume Ratio of Rhombicuboctahedron?

Surface to Volume Ratio of Rhombicuboctahedron calculator uses Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Edge Length of Rhombicuboctahedron*(6+(5*sqrt(2)))) to calculate the Surface to Volume Ratio of Rhombicuboctahedron, Surface to Volume Ratio of Rhombicuboctahedron formula is defined as the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron. Surface to Volume Ratio of Rhombicuboctahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Rhombicuboctahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Rhombicuboctahedron, enter Edge Length of Rhombicuboctahedron (le) and hit the calculate button. Here is how the Surface to Volume Ratio of Rhombicuboctahedron calculation can be explained with given input values -> 0.246316 = (3*(9+sqrt(3)))/(10*(6+(5*sqrt(2)))).

FAQ

What is Surface to Volume Ratio of Rhombicuboctahedron?
Surface to Volume Ratio of Rhombicuboctahedron formula is defined as the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron and is represented as RA/V = (3*(9+sqrt(3)))/(le*(6+(5*sqrt(2)))) or Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Edge Length of Rhombicuboctahedron*(6+(5*sqrt(2)))). Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.
How to calculate Surface to Volume Ratio of Rhombicuboctahedron?
Surface to Volume Ratio of Rhombicuboctahedron formula is defined as the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron is calculated using Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/(Edge Length of Rhombicuboctahedron*(6+(5*sqrt(2)))). To calculate Surface to Volume Ratio of Rhombicuboctahedron, you need Edge Length of Rhombicuboctahedron (le). With our tool, you need to enter the respective value for Edge Length of Rhombicuboctahedron 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 Rhombicuboctahedron?
In this formula, Surface to Volume Ratio of Rhombicuboctahedron uses Edge Length of Rhombicuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))*(6+(5*sqrt(2))))
  • Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2))))
  • Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/(((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)*(6+(5*sqrt(2))))
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