Total Surface Area of Rhombicuboctahedron given Circumsphere Radius Calculator

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

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✖Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.ⓘ Total Surface Area of Rhombicuboctahedron given Circumsphere Radius [TSA]

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Total Surface Area of Rhombicuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2
TSA = 2*(9+sqrt(3))*((2*r_c)/(sqrt(5+(2*sqrt(2)))))^2
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

Total Surface Area of Rhombicuboctahedron - (Measured in Square Meter) - Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.
Circumsphere Radius of Rhombicuboctahedron - (Measured in Meter) - Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Rhombicuboctahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*(9+sqrt(3))*((2*r_c)/(sqrt(5+(2*sqrt(2)))))^2 --> 2*(9+sqrt(3))*((2*14)/(sqrt(5+(2*sqrt(2)))))^2

Evaluating ... ...

TSA = 2149.58323020904

STEP 3: Convert Result to Output's Unit

2149.58323020904 Square Meter --> No Conversion Required

FINAL ANSWER

2149.58323020904 ≈ 2149.583 Square Meter <-- Total Surface Area of Rhombicuboctahedron

(Calculation completed in 00.007 seconds)

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< Total Surface Area of Rhombicuboctahedron Calculators

Total Surface Area of Rhombicuboctahedron given Circumsphere Radius

LaTeX Go Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2

Total Surface Area of Rhombicuboctahedron given Midsphere Radius

LaTeX Go Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^2

Total Surface Area of Rhombicuboctahedron given Volume

LaTeX Go Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(2/3)

Total Surface Area of Rhombicuboctahedron

LaTeX Go Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*Edge Length of Rhombicuboctahedron^2

Total Surface Area of Rhombicuboctahedron given Circumsphere Radius Formula

LaTeX Go

Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2
TSA = 2*(9+sqrt(3))*((2*r_c)/(sqrt(5+(2*sqrt(2)))))^2

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Total Surface Area of Rhombicuboctahedron given Circumsphere Radius?

Total Surface Area of Rhombicuboctahedron given Circumsphere Radius calculator uses Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2 to calculate the Total Surface Area of Rhombicuboctahedron, Total Surface Area of Rhombicuboctahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron. Total Surface Area of Rhombicuboctahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Rhombicuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Total Surface Area of Rhombicuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Rhombicuboctahedron (r_c) and hit the calculate button. Here is how the Total Surface Area of Rhombicuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 2149.583 = 2*(9+sqrt(3))*((2*14)/(sqrt(5+(2*sqrt(2)))))^2.

FAQ

What is Total Surface Area of Rhombicuboctahedron given Circumsphere Radius?

Total Surface Area of Rhombicuboctahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron and is represented as TSA = 2*(9+sqrt(3))*((2*r_c)/(sqrt(5+(2*sqrt(2)))))^2 or Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2. Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.

How to calculate Total Surface Area of Rhombicuboctahedron given Circumsphere Radius?

Total Surface Area of Rhombicuboctahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron is calculated using Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^2. To calculate Total Surface Area of Rhombicuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Rhombicuboctahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Rhombicuboctahedron 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 Rhombicuboctahedron?

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

Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*Edge Length of Rhombicuboctahedron^2
Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(2/3)
Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^2

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