Midsphere Radius of Truncated Cube 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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Midsphere Radius of Truncated Cube

Formula

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

Example

`"17.07107m"=(2+sqrt(2))/2*"10m"`

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Midsphere Radius of Truncated Cube Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Edge Length of Truncated Cube: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = (2+sqrt(2))/2*l_e --> (2+sqrt(2))/2*10

Evaluating ... ...

r_m = 17.0710678118655

STEP 3: Convert Result to Output's Unit

17.0710678118655 Meter --> No Conversion Required

FINAL ANSWER

17.0710678118655 ≈ 17.07107 Meter <-- Midsphere Radius of Truncated Cube

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 10+ Truncated Cube Calculators

Surface to Volume Ratio of Truncated Cube given Cubic Edge Length

Go Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Cubic Edge Length of Truncated Cube/(1+sqrt(2))*(21+(14*sqrt(2))))

Surface to Volume Ratio of Truncated Cube

Go Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Edge Length of Truncated Cube*(21+(14*sqrt(2))))

Total Surface Area of Truncated Cube given Cubic Edge Length

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

Circumsphere Radius of Truncated Cube given Cubic Edge Length

Go Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2))

Midsphere Radius of Truncated Cube given Cubic Edge Length

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

Volume of Truncated Cube given Cubic Edge Length

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

Total Surface Area of Truncated Cube

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

Circumsphere Radius of Truncated Cube

Go Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube

Midsphere Radius of Truncated Cube

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

Volume of Truncated Cube

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

Midsphere Radius of Truncated Cube Formula

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

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 Midsphere Radius of Truncated Cube?

Midsphere Radius of Truncated Cube calculator uses Midsphere Radius of Truncated Cube = (2+sqrt(2))/2*Edge Length of Truncated Cube to calculate the Midsphere Radius of Truncated Cube, Midsphere Radius of Truncated Cube formula is defined as 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 is denoted by r_m symbol.

How to calculate Midsphere Radius of Truncated Cube using this online calculator? To use this online calculator for Midsphere Radius of Truncated Cube, enter Edge Length of Truncated Cube (l_e) and hit the calculate button. Here is how the Midsphere Radius of Truncated Cube calculation can be explained with given input values -> 17.07107 = (2+sqrt(2))/2*10.

FAQ

What is Midsphere Radius of Truncated Cube?

Midsphere Radius of Truncated Cube formula is defined as the radius of the sphere for which all the edges of the Truncated Cube become a tangent line on that sphere and is represented as r_m = (2+sqrt(2))/2*l_e or Midsphere Radius of Truncated Cube = (2+sqrt(2))/2*Edge Length of Truncated Cube. Edge Length of Truncated Cube is the length of any edge of the Truncated Cube.

How to calculate Midsphere Radius of Truncated Cube?

Midsphere Radius of Truncated Cube formula is defined as the radius of the sphere for which all the edges of the Truncated Cube become a tangent line on that sphere is calculated using Midsphere Radius of Truncated Cube = (2+sqrt(2))/2*Edge Length of Truncated Cube. To calculate Midsphere Radius of Truncated Cube, you need Edge Length of Truncated Cube (l_e). With our tool, you need to enter the respective value for Edge Length 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 Midsphere Radius of Truncated Cube?

In this formula, Midsphere Radius of Truncated Cube uses Edge Length of Truncated Cube. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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