Circumsphere Radius of Truncated Cube given Cubic Edge Length Calculator

✖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 [l_e(Cube)]

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✖Circumsphere Radius of Truncated Cube is the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Truncated Cube given Cubic Edge Length [r_c]

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Formula

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Circumsphere Radius of Truncated Cube given Cubic Edge Length

Formula

`"r"_{"c"} = sqrt(7+(4*sqrt(2)))/2*"l"_{"e(Cube)"}/(1+sqrt(2))`

Example

`"17.68351m"=sqrt(7+(4*sqrt(2)))/2*"24m"/(1+sqrt(2))`

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Circumsphere Radius of Truncated Cube given Cubic Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Circumsphere Radius of Truncated Cube - (Measured in Meter) - Circumsphere Radius of Truncated Cube is the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere.
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.

STEP 1: Convert Input(s) to Base Unit

Cubic Edge Length of Truncated Cube: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(7+(4*sqrt(2)))/2*l_e(Cube)/(1+sqrt(2)) --> sqrt(7+(4*sqrt(2)))/2*24/(1+sqrt(2))

Evaluating ... ...

r_c = 17.6835090984948

STEP 3: Convert Result to Output's Unit

17.6835090984948 Meter --> No Conversion Required

FINAL ANSWER

17.6835090984948 ≈ 17.68351 Meter <-- Circumsphere Radius of Truncated Cube

(Calculation completed in 00.004 seconds)

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Created by Nayana Phulphagar

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< 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

Circumsphere Radius of Truncated Cube given Cubic Edge Length Formula

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

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

Circumsphere Radius of Truncated Cube given Cubic Edge Length calculator uses Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2)) to calculate the Circumsphere Radius of Truncated Cube, The Circumsphere Radius of Truncated Cube given Cubic Edge Length formula is defined as the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere, calculated using its cubic edge length. Circumsphere Radius of Truncated Cube is denoted by r_c symbol.

How to calculate Circumsphere Radius of Truncated Cube given Cubic Edge Length using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Cube given Cubic Edge Length, enter Cubic Edge Length of Truncated Cube (l_e(Cube)) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Cube given Cubic Edge Length calculation can be explained with given input values -> 17.68351 = sqrt(7+(4*sqrt(2)))/2*24/(1+sqrt(2)).

FAQ

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

The Circumsphere Radius of Truncated Cube given Cubic Edge Length formula is defined as the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere, calculated using its cubic edge length and is represented as r_c = sqrt(7+(4*sqrt(2)))/2*l_e(Cube)/(1+sqrt(2)) or Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2)). 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.

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

The Circumsphere Radius of Truncated Cube given Cubic Edge Length formula is defined as the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere, calculated using its cubic edge length is calculated using Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2)). To calculate Circumsphere Radius of Truncated Cube given Cubic Edge Length, you need Cubic Edge Length of Truncated Cube (l_e(Cube)). With our tool, you need to enter the respective value for Cubic 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 Circumsphere Radius of Truncated Cube?

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

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

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