Total Surface Area of Truncated Cuboctahedron given Midsphere Radius Calculator

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

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

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Total Surface Area of Truncated Cuboctahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^2
TSA = 12*(2+sqrt(2)+sqrt(3))*((2*r_m)/(sqrt(12+(6*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 Truncated Cuboctahedron - (Measured in Square Meter) - Total Surface Area of Truncated Cuboctahedron is the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron.
Midsphere Radius of Truncated Cuboctahedron - (Measured in Meter) - Midsphere Radius of Truncated Cuboctahedron is the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Truncated Cuboctahedron: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 12*(2+sqrt(2)+sqrt(3))*((2*r_m)/(sqrt(12+(6*sqrt(2)))))^2 --> 12*(2+sqrt(2)+sqrt(3))*((2*22)/(sqrt(12+(6*sqrt(2)))))^2

Evaluating ... ...

TSA = 5836.28858487846

STEP 3: Convert Result to Output's Unit

5836.28858487846 Square Meter --> No Conversion Required

FINAL ANSWER

5836.28858487846 ≈ 5836.289 Square Meter <-- Total Surface Area of Truncated Cuboctahedron

(Calculation completed in 00.020 seconds)

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< Total Surface Area of Truncated Cuboctahedron Calculators

Total Surface Area of Truncated Cuboctahedron given Circumsphere Radius

LaTeX Go Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2)))))^2

Total Surface Area of Truncated Cuboctahedron given Midsphere Radius

LaTeX Go Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^2

Total Surface Area of Truncated Cuboctahedron given Volume

LaTeX Go Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(2/3)

Total Surface Area of Truncated Cuboctahedron

LaTeX Go Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*Edge Length of Truncated Cuboctahedron^2

Total Surface Area of Truncated Cuboctahedron given Midsphere Radius Formula

LaTeX Go

What is a Truncated Cuboctahedron?

In geometry, the Truncated Cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 26 faces which include 12 square faces, 8 regular hexagonal faces, 6 regular octagonal faces, 48 vertices and 72 edges. And each vertex are identical in such a way that, at each vertex one square, one hexagon and one octagon joins. Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the Truncated Cuboctahedron is a zonohedron. The Truncated Cuboctahedron can tessellate with the octagonal prism.

How to Calculate Total Surface Area of Truncated Cuboctahedron given Midsphere Radius?

Total Surface Area of Truncated Cuboctahedron given Midsphere Radius calculator uses Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^2 to calculate the Total Surface Area of Truncated Cuboctahedron, Total Surface Area of Truncated Cuboctahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron. Total Surface Area of Truncated Cuboctahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Truncated Cuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Total Surface Area of Truncated Cuboctahedron given Midsphere Radius, enter Midsphere Radius of Truncated Cuboctahedron (r_m) and hit the calculate button. Here is how the Total Surface Area of Truncated Cuboctahedron given Midsphere Radius calculation can be explained with given input values -> 5836.289 = 12*(2+sqrt(2)+sqrt(3))*((2*22)/(sqrt(12+(6*sqrt(2)))))^2.

FAQ

What is Total Surface Area of Truncated Cuboctahedron given Midsphere Radius?

Total Surface Area of Truncated Cuboctahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron and is represented as TSA = 12*(2+sqrt(2)+sqrt(3))*((2*r_m)/(sqrt(12+(6*sqrt(2)))))^2 or Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^2. Midsphere Radius of Truncated Cuboctahedron is the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere.

How to calculate Total Surface Area of Truncated Cuboctahedron given Midsphere Radius?

Total Surface Area of Truncated Cuboctahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron is calculated using Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^2. To calculate Total Surface Area of Truncated Cuboctahedron given Midsphere Radius, you need Midsphere Radius of Truncated Cuboctahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Truncated Cuboctahedron 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 Truncated Cuboctahedron?

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

Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*Edge Length of Truncated Cuboctahedron^2
Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(2/3)
Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2)))))^2

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