Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius Calculator

✖Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Rhombicuboctahedron [r_m]

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✖Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.ⓘ Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius [R_A/V]

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Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2))))
R_A/V = (3*(9+sqrt(3)))/((2*r_m)/(sqrt(4+(2*sqrt(2))))*(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.
Midsphere Radius of Rhombicuboctahedron - (Measured in Meter) - Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Rhombicuboctahedron: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (3*(9+sqrt(3)))/((2*r_m)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2)))) --> (3*(9+sqrt(3)))/((2*13)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2))))

Evaluating ... ...

R_A/V = 0.247559671908701

STEP 3: Convert Result to Output's Unit

0.247559671908701 1 per Meter --> No Conversion Required

FINAL ANSWER

0.247559671908701 ≈ 0.24756 1 per Meter <-- Surface to Volume Ratio of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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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 given Midsphere Radius Formula

LaTeX Go

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 given Midsphere Radius?

Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius calculator uses Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2)))) to calculate the Surface to Volume Ratio of Rhombicuboctahedron, Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron, and calculated using the midsphere radius of the Rhombicuboctahedron. Surface to Volume Ratio of Rhombicuboctahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius, enter Midsphere Radius of Rhombicuboctahedron (r_m) and hit the calculate button. Here is how the Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius calculation can be explained with given input values -> 0.24756 = (3*(9+sqrt(3)))/((2*13)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2)))).

FAQ

What is Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius?

Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron, and calculated using the midsphere radius of the Rhombicuboctahedron and is represented as R_A/V = (3*(9+sqrt(3)))/((2*r_m)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2)))) or Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2)))). Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.

How to calculate Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius?

Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron, and calculated using the midsphere radius of the Rhombicuboctahedron is calculated using Surface to Volume Ratio of Rhombicuboctahedron = (3*(9+sqrt(3)))/((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))*(6+(5*sqrt(2)))). To calculate Surface to Volume Ratio of Rhombicuboctahedron given Midsphere Radius, you need Midsphere Radius of Rhombicuboctahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius 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 Midsphere Radius 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)))/(Edge Length of Rhombicuboctahedron*(6+(5*sqrt(2))))
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)))/(((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)*(6+(5*sqrt(2))))

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