Volume of Snub Cube given Circumsphere Radius Calculator

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

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✖Volume of Snub Cube is the total quantity of three dimensional space enclosed by the surface of the Snub Cube.ⓘ Volume of Snub Cube given Circumsphere Radius [V]

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Volume of Snub Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Snub Cube = ((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])))))^3
V = ((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*(r_c/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))))^3
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

Volume of Snub Cube - (Measured in Cubic Meter) - Volume of Snub Cube is the total quantity of three dimensional space enclosed by the surface of the Snub Cube.
Circumsphere Radius of Snub Cube - (Measured in Meter) - Circumsphere Radius of Snub Cube is the radius of the sphere that contains the Snub Cube in such a way that all the vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Snub Cube: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*(r_c/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))))^3 --> ((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*(13/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))))^3

Evaluating ... ...

V = 7144.2784744419

STEP 3: Convert Result to Output's Unit

7144.2784744419 Cubic Meter --> No Conversion Required

FINAL ANSWER

7144.2784744419 ≈ 7144.278 Cubic Meter <-- Volume of Snub Cube

(Calculation completed in 00.008 seconds)

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< Volume of Snub Cube Calculators

Volume of Snub Cube given Circumsphere Radius

LaTeX Go Volume of Snub Cube = ((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])))))^3

Volume of Snub Cube given Midsphere Radius

LaTeX Go Volume of Snub Cube = ((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])))))^3

Volume of Snub Cube given Total Surface Area

LaTeX Go Volume of Snub Cube = ((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))))))^3

Volume of Snub Cube

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

Volume of Snub Cube given Circumsphere Radius Formula

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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 Volume of Snub Cube given Circumsphere Radius?

Volume of Snub Cube given Circumsphere Radius calculator uses Volume of Snub Cube = ((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])))))^3 to calculate the Volume of Snub Cube, Volume of Snub Cube given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Snub Cube, and calculated using the circumsphere radius of the Snub Cube. Volume of Snub Cube is denoted by V symbol.

How to calculate Volume of Snub Cube given Circumsphere Radius using this online calculator? To use this online calculator for Volume of Snub Cube given Circumsphere Radius, enter Circumsphere Radius of Snub Cube (r_c) and hit the calculate button. Here is how the Volume of Snub Cube given Circumsphere Radius calculation can be explained with given input values -> 7144.278 = ((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*(13/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))))^3.

FAQ

What is Volume of Snub Cube given Circumsphere Radius?

Volume of Snub Cube given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Snub Cube, and calculated using the circumsphere radius of the Snub Cube and is represented as V = ((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))*(r_c/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))))^3 or Volume of Snub Cube = ((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])))))^3. Circumsphere Radius of Snub Cube is the radius of the sphere that contains the Snub Cube in such a way that all the vertices are lying on the sphere.

How to calculate Volume of Snub Cube given Circumsphere Radius?

Volume of Snub Cube given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Snub Cube, and calculated using the circumsphere radius of the Snub Cube is calculated using Volume of Snub Cube = ((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])))))^3. To calculate Volume of Snub Cube given Circumsphere Radius, you need Circumsphere Radius of Snub Cube (r_c). With our tool, you need to enter the respective value for Circumsphere 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 Volume of Snub Cube?

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

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

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