Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio Calculator

✖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 [R_A/V]

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✖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 given Surface to Volume Ratio [r_m]

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Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

Formula

`"r"_{"m"} = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/("R"_{"A/V"}*(6+(5*sqrt(2))))`

Example

`"10.72759m"=sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/("0.3m⁻¹"*(6+(5*sqrt(2))))`

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Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))
r_m = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(R_A/V*(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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Rhombicuboctahedron: 0.3 1 per Meter --> 0.3 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2)))) --> sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2))))

Evaluating ... ...

r_m = 10.7275857827104

STEP 3: Convert Result to Output's Unit

10.7275857827104 Meter --> No Conversion Required

FINAL ANSWER

10.7275857827104 ≈ 10.72759 Meter <-- Midsphere Radius of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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Vellore Institute of Technology (VIT), Bhopal

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< 5 Midsphere Radius of Rhombicuboctahedron Calculators

Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))

Midsphere Radius of Rhombicuboctahedron given Total Surface Area

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2))))

Midsphere Radius of Rhombicuboctahedron given Volume

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Midsphere Radius of Rhombicuboctahedron

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio Formula

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 Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio?

Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio calculator uses Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))) to calculate the Midsphere Radius of Rhombicuboctahedron, Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere, and calculated using the surface to volume ratio of the Rhombicuboctahedron. Midsphere Radius of Rhombicuboctahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Rhombicuboctahedron (R_A/V) and hit the calculate button. Here is how the Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 10.72759 = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2)))).

FAQ

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

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

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

Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere, and calculated using the surface to volume ratio of the Rhombicuboctahedron is calculated using Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))). To calculate Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Rhombicuboctahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Midsphere Radius of Rhombicuboctahedron?

In this formula, Midsphere Radius of Rhombicuboctahedron uses Surface to Volume Ratio of Rhombicuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2))))

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