Circumsphere Radius of Cube Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube
rc = sqrt(3)/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 Cube - (Measured in Meter) - Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.
Edge Length of Cube - (Measured in Meter) - Edge Length of Cube is the length of any edge of a Cube.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Cube: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = sqrt(3)/2*le --> sqrt(3)/2*10
Evaluating ... ...
rc = 8.66025403784439
STEP 3: Convert Result to Output's Unit
8.66025403784439 Meter --> No Conversion Required
FINAL ANSWER
8.66025403784439 8.660254 Meter <-- Circumsphere Radius of Cube
(Calculation completed in 00.004 seconds)

Credits

Created by Nikhil
Mumbai University (DJSCE), Mumbai
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The National Institute of Engineering (NIE), Mysuru
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14 Circumsphere Radius of Cube Calculators

Circumsphere Radius of Cube given Total Surface Area
Go Circumsphere Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(2))
Circumsphere Radius of Cube given Face Diagonal
Go Circumsphere Radius of Cube = sqrt(3)/(2*sqrt(2))*Face Diagonal of Cube
Circumsphere Radius of Cube given Circumscribed Cylinder Radius
Go Circumsphere Radius of Cube = sqrt(3/2)*Circumscribed Cylinder Radius of Cube
Circumsphere Radius of Cube given Surface to Volume Ratio
Go Circumsphere Radius of Cube = (3*sqrt(3))/Surface to Volume Ratio of Cube
Circumsphere Radius of Cube given Inscribed Cylinder Radius
Go Circumsphere Radius of Cube = sqrt(3)*Inscribed Cylinder Radius of Cube
Circumsphere Radius of Cube given Lateral Surface Area
Go Circumsphere Radius of Cube = sqrt(3*Lateral Surface Area of Cube)/4
Circumsphere Radius of Cube given Midsphere Radius
Go Circumsphere Radius of Cube = sqrt(3/2)*Midsphere Radius of Cube
Circumsphere Radius of Cube given Face Perimeter
Go Circumsphere Radius of Cube = sqrt(3)/8*Face Perimeter of Cube
Circumsphere Radius of Cube given Insphere Radius
Go Circumsphere Radius of Cube = sqrt(3)*Insphere Radius of Cube
Circumsphere Radius of Cube given Perimeter
Go Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24
Circumsphere Radius of Cube given Volume
Go Circumsphere Radius of Cube = sqrt(3)/2*Volume of Cube^(1/3)
Circumsphere Radius of Cube
Go Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube
Circumsphere Radius of Cube given Face Area
Go Circumsphere Radius of Cube = sqrt(3*Face Area of Cube)/2
Circumsphere Radius of Cube given Space Diagonal
Go Circumsphere Radius of Cube = Space Diagonal of Cube/2

5 Radius of Cube Calculators

Circumscribed Cylinder Radius of Cube
Go Circumscribed Cylinder Radius of Cube = Edge Length of Cube/sqrt(2)
Circumsphere Radius of Cube
Go Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube
Midsphere Radius of Cube
Go Midsphere Radius of Cube = Edge Length of Cube/sqrt(2)
Inscribed Cylinder Radius of Cube
Go Inscribed Cylinder Radius of Cube = Edge Length of Cube/2
Insphere Radius of Cube
Go Insphere Radius of Cube = Edge Length of Cube/2

Circumsphere Radius of Cube Formula

Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube
rc = sqrt(3)/2*le

What is a Cube?

A Cube is a symmetric, closed three dimensional shape having 6 identical square shaped faces. It has 8 corners, 12 edges and 6 faces. And each corner is shared by 3 faces and each edge is shared by 2 faces of the Cube. In other way, a rectangular box in which length, breadth and height are numerically equal is called a Cube. That equal measurement is called the edge length of the Cube. Also Cube is a Platonic solid.

How to Calculate Circumsphere Radius of Cube?

Circumsphere Radius of Cube calculator uses Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube to calculate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube formula is defined as the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere. Circumsphere Radius of Cube is denoted by rc symbol.

How to calculate Circumsphere Radius of Cube using this online calculator? To use this online calculator for Circumsphere Radius of Cube, enter Edge Length of Cube (le) and hit the calculate button. Here is how the Circumsphere Radius of Cube calculation can be explained with given input values -> 8.660254 = sqrt(3)/2*10.

FAQ

What is Circumsphere Radius of Cube?
The Circumsphere Radius of Cube formula is defined as the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere and is represented as rc = sqrt(3)/2*le or Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube. Edge Length of Cube is the length of any edge of a Cube.
How to calculate Circumsphere Radius of Cube?
The Circumsphere Radius of Cube formula is defined as the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere is calculated using Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube. To calculate Circumsphere Radius of Cube, you need Edge Length of Cube (le). With our tool, you need to enter the respective value for Edge Length of 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 Cube?
In this formula, Circumsphere Radius of Cube uses Edge Length of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -
  • Circumsphere Radius of Cube = sqrt(3*Face Area of Cube)/2
  • Circumsphere Radius of Cube = sqrt(3)/(2*sqrt(2))*Face Diagonal of Cube
  • Circumsphere Radius of Cube = sqrt(3)/8*Face Perimeter of Cube
  • Circumsphere Radius of Cube = sqrt(3)/2*Volume of Cube^(1/3)
  • Circumsphere Radius of Cube = Space Diagonal of Cube/2
  • Circumsphere Radius of Cube = sqrt(3*Lateral Surface Area of Cube)/4
  • Circumsphere Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(2))
  • Circumsphere Radius of Cube = sqrt(3)*Insphere Radius of Cube
  • Circumsphere Radius of Cube = sqrt(3/2)*Midsphere Radius of Cube
  • Circumsphere Radius of Cube = sqrt(3/2)*Circumscribed Cylinder Radius of Cube
  • Circumsphere Radius of Cube = sqrt(3)*Inscribed Cylinder Radius of Cube
  • Circumsphere Radius of Cube = (3*sqrt(3))/Surface to Volume Ratio of Cube
  • Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24
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