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

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Edge Length of Truncated Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Truncated Cube = (2*Midsphere Radius of Truncated Cube)/(2+sqrt(2))
l_e = (2*r_m)/(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 Truncated Cube - (Measured in Meter) - Edge Length of Truncated Cube is the length of any edge of 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 = (2*r_m)/(2+sqrt(2)) --> (2*17)/(2+sqrt(2))

Evaluating ... ...

l_e = 9.95836943965739

STEP 3: Convert Result to Output's Unit

9.95836943965739 Meter --> No Conversion Required

FINAL ANSWER

9.95836943965739 ≈ 9.958369 Meter <-- Edge Length of Truncated Cube

(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru

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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))

Edge Length of Truncated Cube given Midsphere Radius Formula

LaTeX Go

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

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

How to calculate Edge Length of Truncated Cube given Midsphere Radius using this online calculator? To use this online calculator for 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 Edge Length of Truncated Cube given Midsphere Radius calculation can be explained with given input values -> 9.958369 = (2*17)/(2+sqrt(2)).

FAQ

What is Edge Length of Truncated Cube given Midsphere Radius?

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

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

In this formula, 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 -

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

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