Circumsphere Radius of Truncated Cube Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube
rc = sqrt(7+(4*sqrt(2)))/2*le
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.
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
rc = sqrt(7+(4*sqrt(2)))/2*le --> sqrt(7+(4*sqrt(2)))/2*10
Evaluating ... ...
rc = 17.7882364566392
STEP 3: Convert Result to Output's Unit
17.7882364566392 Meter --> No Conversion Required
FINAL ANSWER
17.7882364566392 17.78824 Meter <-- Circumsphere Radius of Truncated Cube
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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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 Formula

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

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 Circumsphere Radius of Truncated Cube?

Circumsphere Radius of Truncated Cube calculator uses Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube to calculate the Circumsphere Radius of Truncated Cube, Circumsphere Radius of Truncated Cube 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. Circumsphere Radius of Truncated Cube is denoted by rc symbol.

How to calculate Circumsphere Radius of Truncated Cube using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Cube, enter Edge Length of Truncated Cube (le) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Cube calculation can be explained with given input values -> 17.78824 = sqrt(7+(4*sqrt(2)))/2*10.

FAQ

What is Circumsphere Radius of Truncated Cube?
Circumsphere Radius of Truncated Cube 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 and is represented as rc = sqrt(7+(4*sqrt(2)))/2*le or Circumsphere Radius of Truncated Cube = sqrt(7+(4*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 Circumsphere Radius of Truncated Cube?
Circumsphere Radius of Truncated Cube 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 is calculated using Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube. To calculate Circumsphere Radius of Truncated Cube, you need Edge Length of Truncated Cube (le). 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 Circumsphere Radius of Truncated Cube?
In this formula, Circumsphere 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 -
  • Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2))
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