Edge Length 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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✖Edge Length of Truncated Cuboctahedron is the length of any edge of the Truncated Cuboctahedron.ⓘ Edge Length of Truncated Cuboctahedron given Midsphere Radius [l_e]

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Formula

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Edge Length of Truncated Cuboctahedron given Midsphere Radius

Formula

`"l"_{"e"} = (2*"r"_{"m"})/(sqrt(12+(6*sqrt(2))))`

Example

`"9.721465m"=(2*"22m")/(sqrt(12+(6*sqrt(2))))`

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Edge Length of Truncated Cuboctahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Truncated Cuboctahedron = (2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2))))
l_e = (2*r_m)/(sqrt(12+(6*sqrt(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

Edge Length of Truncated Cuboctahedron - (Measured in Meter) - Edge Length of Truncated Cuboctahedron is the length of any edge 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

l_e = (2*r_m)/(sqrt(12+(6*sqrt(2)))) --> (2*22)/(sqrt(12+(6*sqrt(2))))

Evaluating ... ...

l_e = 9.72146483837736

STEP 3: Convert Result to Output's Unit

9.72146483837736 Meter --> No Conversion Required

FINAL ANSWER

9.72146483837736 ≈ 9.721465 Meter <-- Edge Length of Truncated Cuboctahedron

(Calculation completed in 00.004 seconds)

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< 5 Edge Length of Truncated Cuboctahedron Calculators

Edge Length of Truncated Cuboctahedron given Surface to Volume Ratio

Go Edge Length of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))

Edge Length of Truncated Cuboctahedron given Total Surface Area

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

Edge Length of Truncated Cuboctahedron given Circumsphere Radius

Go Edge Length of Truncated Cuboctahedron = (2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2))))

Edge Length of Truncated Cuboctahedron given Midsphere Radius

Go Edge Length of Truncated Cuboctahedron = (2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2))))

Edge Length of Truncated Cuboctahedron given Volume

Go Edge Length of Truncated Cuboctahedron = (Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)

Edge Length of Truncated Cuboctahedron given Midsphere Radius Formula

Edge Length of Truncated Cuboctahedron = (2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2))))
l_e = (2*r_m)/(sqrt(12+(6*sqrt(2))))

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 Edge Length of Truncated Cuboctahedron given Midsphere Radius?

Edge Length of Truncated Cuboctahedron given Midsphere Radius calculator uses Edge Length of Truncated Cuboctahedron = (2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))) to calculate the Edge Length of Truncated Cuboctahedron, Edge Length of Truncated Cuboctahedron given Midsphere Radius formula is defined as the length of any edge of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron. Edge Length of Truncated Cuboctahedron is denoted by l_e symbol.

How to calculate Edge Length of Truncated Cuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Edge Length of Truncated Cuboctahedron given Midsphere Radius, enter Midsphere Radius of Truncated Cuboctahedron (r_m) and hit the calculate button. Here is how the Edge Length of Truncated Cuboctahedron given Midsphere Radius calculation can be explained with given input values -> 9.721465 = (2*22)/(sqrt(12+(6*sqrt(2)))).

FAQ

What is Edge Length of Truncated Cuboctahedron given Midsphere Radius?

Edge Length of Truncated Cuboctahedron given Midsphere Radius formula is defined as the length of any edge of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron and is represented as l_e = (2*r_m)/(sqrt(12+(6*sqrt(2)))) or Edge Length of Truncated Cuboctahedron = (2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(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 Edge Length of Truncated Cuboctahedron given Midsphere Radius?

Edge Length of Truncated Cuboctahedron given Midsphere Radius formula is defined as the length of any edge of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron is calculated using Edge Length of Truncated Cuboctahedron = (2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))). To calculate Edge Length 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 Edge Length of Truncated Cuboctahedron?

In this formula, Edge Length of Truncated Cuboctahedron uses Midsphere Radius of Truncated Cuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Edge Length of Truncated Cuboctahedron = sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
Edge Length of Truncated Cuboctahedron = (Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
Edge Length of Truncated Cuboctahedron = (2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2))))
Edge Length of Truncated Cuboctahedron = (6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2))))

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