Total Surface Area of Snub Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Snub Cube = 2*(3+(4*sqrt(3)))*(Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))))^2
TSA = 2*(3+(4*sqrt(3)))*(rm/(sqrt(1/(4*(2-[Tribonacci_C])))))^2
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
Total Surface Area of Snub Cube - (Measured in Square Meter) - Total Surface Area of Snub Cube is the total quantity of plane enclosed by the entire surface 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
TSA = 2*(3+(4*sqrt(3)))*(rm/(sqrt(1/(4*(2-[Tribonacci_C])))))^2 --> 2*(3+(4*sqrt(3)))*(12/(sqrt(1/(4*(2-[Tribonacci_C])))))^2
Evaluating ... ...
TSA = 1838.12400694751
STEP 3: Convert Result to Output's Unit
1838.12400694751 Square Meter --> No Conversion Required
FINAL ANSWER
1838.12400694751 1838.124 Square Meter <-- Total Surface Area of Snub Cube
(Calculation completed in 00.004 seconds)

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5 Total Surface Area of Snub Cube Calculators

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

Total Surface Area of Snub Cube given Midsphere Radius Formula

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

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 Total Surface Area of Snub Cube given Midsphere Radius?

Total Surface Area of Snub Cube given Midsphere Radius calculator uses Total Surface Area of Snub Cube = 2*(3+(4*sqrt(3)))*(Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))))^2 to calculate the Total Surface Area of Snub Cube, Total Surface Area of Snub Cube given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Snub Cube, and calculated using the midsphere radius of the Snub Cube. Total Surface Area of Snub Cube is denoted by TSA symbol.

How to calculate Total Surface Area of Snub Cube given Midsphere Radius using this online calculator? To use this online calculator for Total Surface Area of Snub Cube given Midsphere Radius, enter Midsphere Radius of Snub Cube (rm) and hit the calculate button. Here is how the Total Surface Area of Snub Cube given Midsphere Radius calculation can be explained with given input values -> 1838.124 = 2*(3+(4*sqrt(3)))*(12/(sqrt(1/(4*(2-[Tribonacci_C])))))^2.

FAQ

What is Total Surface Area of Snub Cube given Midsphere Radius?
Total Surface Area of Snub Cube given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Snub Cube, and calculated using the midsphere radius of the Snub Cube and is represented as TSA = 2*(3+(4*sqrt(3)))*(rm/(sqrt(1/(4*(2-[Tribonacci_C])))))^2 or Total Surface Area of Snub Cube = 2*(3+(4*sqrt(3)))*(Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))))^2. 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 Total Surface Area of Snub Cube given Midsphere Radius?
Total Surface Area of Snub Cube given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Snub Cube, and calculated using the midsphere radius of the Snub Cube is calculated using Total Surface Area of Snub Cube = 2*(3+(4*sqrt(3)))*(Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))))^2. To calculate Total Surface Area of Snub Cube given Midsphere Radius, you need Midsphere Radius of Snub Cube (rm). 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 Total Surface Area of Snub Cube?
In this formula, Total Surface Area of Snub Cube uses Midsphere Radius of Snub Cube. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Snub Cube = 2*(3+(4*sqrt(3)))*Edge Length of Snub Cube^2
  • Total Surface Area of Snub Cube = 2*(3+(4*sqrt(3)))*((3*sqrt(2-[Tribonacci_C])*Volume of Snub Cube)/((3*sqrt([Tribonacci_C]-1))+(4*sqrt([Tribonacci_C]+1))))^(2/3)
  • Total Surface Area of Snub Cube = 2*(3+(4*sqrt(3)))*(Circumsphere Radius of Snub Cube/(sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))))^2
  • Total Surface Area of Snub Cube = 2*(3+(4*sqrt(3)))*((2*(3+(4*sqrt(3))))/(Surface to Volume Ratio of Snub Cube*((3*sqrt([Tribonacci_C]-1))+(4*(sqrt([Tribonacci_C]+1))))/(3*sqrt(2-[Tribonacci_C]))))^2
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