Surface to Volume Ratio of Snub Cube given Midsphere Radius Calculator

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

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

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Surface to Volume Ratio of Snub Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))))
R_A/V = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*r_m/(sqrt(1/(4*(2-[Tribonacci_C])))))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[Tribonacci_C] - Tribonacci constant Value Taken As 1.839286755214161

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 Snub Cube - (Measured in 1 per Meter) - Surface to Volume Ratio of Snub Cube is the numerical ratio of the total surface area of a Snub Cube to the volume of the Snub Cube.
Midsphere Radius of Snub Cube - (Measured in Meter) - Midsphere Radius of Snub Cube is the radius of the sphere for which all the edges of the Snub Cube become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Snub Cube: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*r_m/(sqrt(1/(4*(2-[Tribonacci_C]))))) --> (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*12/(sqrt(1/(4*(2-[Tribonacci_C])))))

Evaluating ... ...

R_A/V = 0.261586508577183

STEP 3: Convert Result to Output's Unit

0.261586508577183 1 per Meter --> No Conversion Required

FINAL ANSWER

0.261586508577183 ≈ 0.261587 1 per Meter <-- Surface to Volume Ratio of Snub Cube

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Snub Cube Calculators

Surface to Volume Ratio of Snub Cube given Volume

LaTeX Go Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*((3*sqrt(2-[Tribonacci_C])*Volume of Snub Cube)/((3*sqrt([Tribonacci_C]-1))+(4*sqrt([Tribonacci_C]+1))))^(1/3))

Surface to Volume Ratio of Snub Cube given Circumsphere Radius

LaTeX Go Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))))

Surface to Volume Ratio of Snub Cube given Total Surface Area

LaTeX Go Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*sqrt(Total Surface Area of Snub Cube/(2*(3+(4*sqrt(3))))))

Surface to Volume Ratio of Snub Cube

LaTeX Go Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*Edge Length of Snub Cube)

Surface to Volume Ratio of Snub Cube given Midsphere Radius Formula

LaTeX Go

What is a Snub Cube?

In geometry, the Snub Cube, or Snub Cuboctahedron, is an Archimedean solid with 38 faces - 6 squares and 32 equilateral triangles. It has 60 edges and 24 vertices. It is a chiral polyhedron. That is, it has two distinct forms, which are mirror images (or "enantiomorphs") of each other. The union of both forms is a compound of two Snub Cubes, and the convex hull of both sets of vertices is a truncated cuboctahedron. Kepler first named it in Latin as cubus simus in 1619 in his Harmonices Mundi. H. S. M. Coxeter, noting it could be derived equally from the octahedron as the cube, called it Snub Cuboctahedron.

How to Calculate Surface to Volume Ratio of Snub Cube given Midsphere Radius?

Surface to Volume Ratio of Snub Cube given Midsphere Radius calculator uses Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))) to calculate the Surface to Volume Ratio of Snub Cube, Surface to Volume Ratio of Snub Cube given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Snub Cube to the volume of the Snub Cube, and calculated using the midsphere radius of the Snub Cube. Surface to Volume Ratio of Snub Cube is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Snub Cube given Midsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Snub Cube given Midsphere Radius, enter Midsphere Radius of Snub Cube (r_m) and hit the calculate button. Here is how the Surface to Volume Ratio of Snub Cube given Midsphere Radius calculation can be explained with given input values -> 0.261587 = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*12/(sqrt(1/(4*(2-[Tribonacci_C]))))).

FAQ

What is Surface to Volume Ratio of Snub Cube given Midsphere Radius?

Surface to Volume Ratio of Snub Cube given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Snub Cube to the volume of the Snub Cube, and calculated using the midsphere radius of the Snub Cube and is represented as R_A/V = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*r_m/(sqrt(1/(4*(2-[Tribonacci_C]))))) or Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))). Midsphere Radius of Snub Cube is the radius of the sphere for which all the edges of the Snub Cube become a tangent line on that sphere.

How to calculate Surface to Volume Ratio of Snub Cube given Midsphere Radius?

Surface to Volume Ratio of Snub Cube given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Snub Cube to the volume of the Snub Cube, and calculated using the midsphere radius of the Snub Cube is calculated using Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))). To calculate Surface to Volume Ratio of Snub Cube given Midsphere Radius, you need Midsphere Radius of Snub Cube (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Snub Cube 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 Snub Cube?

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

Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*Edge Length of Snub Cube)
Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*sqrt(Total Surface Area of Snub Cube/(2*(3+(4*sqrt(3))))))
Surface to Volume Ratio of Snub Cube = (2*(3+(4*sqrt(3))))/(((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*((3*sqrt(2-[Tribonacci_C])*Volume of Snub Cube)/((3*sqrt([Tribonacci_C]-1))+(4*sqrt([Tribonacci_C]+1))))^(1/3))

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