Cubic Edge Length of Truncated Cube given Midsphere Radius Calculator

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

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✖Cubic Edge Length of Truncated Cube is the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube.ⓘ Cubic Edge Length of Truncated Cube given Midsphere Radius [l_e(Cube)]

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Cubic Edge Length of Truncated Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cubic Edge Length of Truncated Cube = (2*Midsphere Radius of Truncated Cube)/(2+sqrt(2))*(1+sqrt(2))
l_e(Cube) = (2*r_m)/(2+sqrt(2))*(1+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

Cubic Edge Length of Truncated Cube - (Measured in Meter) - Cubic Edge Length of Truncated Cube is the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube.
Midsphere Radius of Truncated Cube - (Measured in Meter) - Midsphere Radius of Truncated Cube is the radius of the sphere for which all the edges of the Truncated Cube become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Truncated Cube: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Cube) = (2*r_m)/(2+sqrt(2))*(1+sqrt(2)) --> (2*17)/(2+sqrt(2))*(1+sqrt(2))

Evaluating ... ...

l_e(Cube) = 24.0416305603426

STEP 3: Convert Result to Output's Unit

24.0416305603426 Meter --> No Conversion Required

FINAL ANSWER

24.0416305603426 ≈ 24.04163 Meter <-- Cubic Edge Length of Truncated Cube

(Calculation completed in 00.004 seconds)

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< Edge Length of Truncated Cube Calculators

Edge Length of Truncated Cube given Total Surface Area

LaTeX Go Edge Length of Truncated Cube = sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3))))

Edge Length of Truncated Cube given Volume

LaTeX Go Edge Length of Truncated Cube = ((3*Volume of Truncated Cube)/(21+(14*sqrt(2))))^(1/3)

Edge Length of Truncated Cube given Midsphere Radius

LaTeX Go Edge Length of Truncated Cube = (2*Midsphere Radius of Truncated Cube)/(2+sqrt(2))

Edge Length of Truncated Cube given Cubic Edge Length

LaTeX Go Edge Length of Truncated Cube = Cubic Edge Length of Truncated Cube/(1+sqrt(2))

Cubic Edge Length of Truncated Cube given Midsphere Radius Formula

LaTeX Go

Cubic Edge Length of Truncated Cube = (2*Midsphere Radius of Truncated Cube)/(2+sqrt(2))*(1+sqrt(2))
l_e(Cube) = (2*r_m)/(2+sqrt(2))*(1+sqrt(2))

What is a Truncated Cube?

In geometry, the Truncated Cube or truncated hexahedron is an Archimedean solid, which obtained by truncating or cutting off the eight edges of a cube. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and 24 vertices. All the vertices are identical in such a way that, at each vertex two octagonal faces and one triangular face join together. The dual body of Truncated Cube is called triakis octahedron.

How to Calculate Cubic Edge Length of Truncated Cube given Midsphere Radius?

Cubic Edge Length of Truncated Cube given Midsphere Radius calculator uses Cubic Edge Length of Truncated Cube = (2*Midsphere Radius of Truncated Cube)/(2+sqrt(2))*(1+sqrt(2)) to calculate the Cubic Edge Length of Truncated Cube, The Cubic Edge Length of Truncated Cube given Midsphere Radius formula is defined as the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube, calculated using its midsphere radius. Cubic Edge Length of Truncated Cube is denoted by l_e(Cube) symbol.

How to calculate Cubic Edge Length of Truncated Cube given Midsphere Radius using this online calculator? To use this online calculator for Cubic Edge Length of Truncated Cube given Midsphere Radius, enter Midsphere Radius of Truncated Cube (r_m) and hit the calculate button. Here is how the Cubic Edge Length of Truncated Cube given Midsphere Radius calculation can be explained with given input values -> 24.04163 = (2*17)/(2+sqrt(2))*(1+sqrt(2)).

FAQ

What is Cubic Edge Length of Truncated Cube given Midsphere Radius?

The Cubic Edge Length of Truncated Cube given Midsphere Radius formula is defined as the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube, calculated using its midsphere radius and is represented as l_e(Cube) = (2*r_m)/(2+sqrt(2))*(1+sqrt(2)) or Cubic Edge Length of Truncated Cube = (2*Midsphere Radius of Truncated Cube)/(2+sqrt(2))*(1+sqrt(2)). Midsphere Radius of Truncated Cube is the radius of the sphere for which all the edges of the Truncated Cube become a tangent line on that sphere.

How to calculate Cubic Edge Length of Truncated Cube given Midsphere Radius?

The Cubic Edge Length of Truncated Cube given Midsphere Radius formula is defined as the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube, calculated using its midsphere radius is calculated using Cubic Edge Length of Truncated Cube = (2*Midsphere Radius of Truncated Cube)/(2+sqrt(2))*(1+sqrt(2)). To calculate Cubic Edge Length of Truncated Cube given Midsphere Radius, you need Midsphere Radius of Truncated Cube (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Truncated 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 Cubic Edge Length of Truncated Cube?

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

Cubic Edge Length of Truncated Cube = Edge Length of Truncated Cube*(1+sqrt(2))
Cubic Edge Length of Truncated Cube = sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2))
Cubic Edge Length of Truncated Cube = ((3*Volume of Truncated Cube)/(21+(14*sqrt(2))))^(1/3)*(1+sqrt(2))

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