Edge Length 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]

+10%

-10%

✖Edge Length of Snub Cube is the length of any edge of the Snub Cube.ⓘ Edge Length of Snub Cube given Circumsphere Radius [l_e]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Archimedean Solids Formula PDF PDF Image

Edge Length of Snub Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Snub Cube = Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))
l_e = r_c/(sqrt((3-[Tribonacci_C])/(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

Edge Length of Snub Cube - (Measured in Meter) - Edge Length of Snub Cube is the length of any edge 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

l_e = r_c/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))) --> 13/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))

Evaluating ... ...

l_e = 9.6746823050307

STEP 3: Convert Result to Output's Unit

9.6746823050307 Meter --> No Conversion Required

FINAL ANSWER

9.6746823050307 ≈ 9.674682 Meter <-- Edge Length of Snub Cube

(Calculation completed in 00.007 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Archimedean Solids » Snub Cube » Edge Length of Snub Cube » Edge Length of Snub Cube given Circumsphere Radius

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< Edge Length of Snub Cube Calculators

Edge Length of Snub Cube given Volume

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

Edge Length of Snub Cube given Circumsphere Radius

LaTeX Go Edge Length of Snub Cube = Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))

Edge Length of Snub Cube given Midsphere Radius

LaTeX Go Edge Length of Snub Cube = Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))

Edge Length of Snub Cube given Total Surface Area

LaTeX Go Edge Length of Snub Cube = sqrt(Total Surface Area of Snub Cube/(2*(3+(4*sqrt(3)))))

Edge Length of Snub Cube given Circumsphere Radius Formula

LaTeX Go

Edge Length of Snub Cube = Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))
l_e = r_c/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C]))))

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 Edge Length of Snub Cube given Circumsphere Radius?

Edge Length of Snub Cube given Circumsphere Radius calculator uses Edge Length of Snub Cube = Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))) to calculate the Edge Length of Snub Cube, Edge Length of Snub Cube given Circumsphere Radius formula is defined as the length of any edge of the Snub Cube, and calculated using the circumsphere radius of the Snub Cube. Edge Length of Snub Cube is denoted by l_e symbol.

How to calculate Edge Length of Snub Cube given Circumsphere Radius using this online calculator? To use this online calculator for Edge Length of Snub Cube given Circumsphere Radius, enter Circumsphere Radius of Snub Cube (r_c) and hit the calculate button. Here is how the Edge Length of Snub Cube given Circumsphere Radius calculation can be explained with given input values -> 9.674682 = 13/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))).

FAQ

What is Edge Length of Snub Cube given Circumsphere Radius?

Edge Length of Snub Cube given Circumsphere Radius formula is defined as the length of any edge of the Snub Cube, and calculated using the circumsphere radius of the Snub Cube and is represented as l_e = r_c/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))) or Edge Length of Snub Cube = Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))). 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 Edge Length of Snub Cube given Circumsphere Radius?

Edge Length of Snub Cube given Circumsphere Radius formula is defined as the length of any edge of the Snub Cube, and calculated using the circumsphere radius of the Snub Cube is calculated using Edge Length of Snub Cube = Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))). To calculate Edge Length 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 Edge Length of Snub Cube?

In this formula, Edge Length 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 -

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

Home

FREE PDFs

🔍 Search