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

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Edge Length of Rhombicuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))
l_e = (2*r_c)/(sqrt(5+(2*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 Rhombicuboctahedron - (Measured in Meter) - Edge Length of Rhombicuboctahedron is the length of any edge 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

l_e = (2*r_c)/(sqrt(5+(2*sqrt(2)))) --> (2*14)/(sqrt(5+(2*sqrt(2))))

Evaluating ... ...

l_e = 10.0073888414246

STEP 3: Convert Result to Output's Unit

10.0073888414246 Meter --> No Conversion Required

FINAL ANSWER

10.0073888414246 ≈ 10.00739 Meter <-- Edge Length of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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< Edge Length of Rhombicuboctahedron Calculators

Edge Length of Rhombicuboctahedron given Circumsphere Radius

LaTeX Go Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))

Edge Length of Rhombicuboctahedron given Total Surface Area

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

Edge Length of Rhombicuboctahedron given Midsphere Radius

LaTeX Go Edge Length of Rhombicuboctahedron = (2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))

Edge Length of Rhombicuboctahedron given Volume

LaTeX Go Edge Length of Rhombicuboctahedron = ((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Edge Length of Rhombicuboctahedron given Circumsphere Radius Formula

LaTeX Go

Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))
l_e = (2*r_c)/(sqrt(5+(2*sqrt(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 Edge Length of Rhombicuboctahedron given Circumsphere Radius?

Edge Length of Rhombicuboctahedron given Circumsphere Radius calculator uses Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))) to calculate the Edge Length of Rhombicuboctahedron, Edge Length of Rhombicuboctahedron given Circumsphere Radius formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron. Edge Length of Rhombicuboctahedron is denoted by l_e symbol.

How to calculate Edge Length of Rhombicuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Edge Length of Rhombicuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Rhombicuboctahedron (r_c) and hit the calculate button. Here is how the Edge Length of Rhombicuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 10.00739 = (2*14)/(sqrt(5+(2*sqrt(2)))).

FAQ

What is Edge Length of Rhombicuboctahedron given Circumsphere Radius?

Edge Length of Rhombicuboctahedron given Circumsphere Radius formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron and is represented as l_e = (2*r_c)/(sqrt(5+(2*sqrt(2)))) or Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(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 Edge Length of Rhombicuboctahedron given Circumsphere Radius?

Edge Length of Rhombicuboctahedron given Circumsphere Radius formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron is calculated using Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))). To calculate Edge Length 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 Edge Length of Rhombicuboctahedron?

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

Edge Length of Rhombicuboctahedron = sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Edge Length of Rhombicuboctahedron = ((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
Edge Length of Rhombicuboctahedron = (2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))

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