Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Cuboctahedron [r_c]

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✖Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.ⓘ Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius [R_A/V]

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Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Cuboctahedron)
R_A/V = (18+(6*sqrt(3)))/(5*sqrt(2)*r_c)
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 Cuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.
Circumsphere Radius of Cuboctahedron - (Measured in Meter) - Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (18+(6*sqrt(3)))/(5*sqrt(2)*r_c) --> (18+(6*sqrt(3)))/(5*sqrt(2)*10)

Evaluating ... ...

R_A/V = 0.401527825794148

STEP 3: Convert Result to Output's Unit

0.401527825794148 1 per Meter --> No Conversion Required

FINAL ANSWER

0.401527825794148 ≈ 0.401528 1 per Meter <-- Surface to Volume Ratio of Cuboctahedron

(Calculation completed in 00.009 seconds)

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< Surface to Volume Ratio of Cuboctahedron Calculators

Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area

LaTeX Go Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)))

Surface to Volume Ratio of Cuboctahedron given Midsphere Radius

LaTeX Go Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*2/sqrt(3)*Midsphere Radius of Cuboctahedron)

Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius

LaTeX Go Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Cuboctahedron)

Surface to Volume Ratio of Cuboctahedron

LaTeX Go Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Edge Length of Cuboctahedron)

Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius Formula

LaTeX Go

Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Cuboctahedron)
R_A/V = (18+(6*sqrt(3)))/(5*sqrt(2)*r_c)

What is a Cuboctahedron?

A Cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is the only radially equilateral convex polyhedron.

How to Calculate Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius?

Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius calculator uses Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Cuboctahedron) to calculate the Surface to Volume Ratio of Cuboctahedron, The Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius formula is defined as the fraction of the surface area to the volume of the Cuboctahedron, calculated using circumsphere radius of Cuboctahedron. Surface to Volume Ratio of Cuboctahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Cuboctahedron (r_c) and hit the calculate button. Here is how the Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 0.401528 = (18+(6*sqrt(3)))/(5*sqrt(2)*10).

FAQ

What is Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius?

The Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius formula is defined as the fraction of the surface area to the volume of the Cuboctahedron, calculated using circumsphere radius of Cuboctahedron and is represented as R_A/V = (18+(6*sqrt(3)))/(5*sqrt(2)*r_c) or Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Cuboctahedron). Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.

How to calculate Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius?

The Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius formula is defined as the fraction of the surface area to the volume of the Cuboctahedron, calculated using circumsphere radius of Cuboctahedron is calculated using Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Cuboctahedron). To calculate Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Cuboctahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Cuboctahedron 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 Cuboctahedron?

In this formula, Surface to Volume Ratio of Cuboctahedron uses Circumsphere Radius of Cuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Edge Length of Cuboctahedron)
Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)))
Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*2/sqrt(3)*Midsphere Radius of Cuboctahedron)

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