## Circumsphere Radius of Cube given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24
rc = (sqrt(3)*P)/24
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, 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.
Perimeter of Cube - (Measured in Meter) - Perimeter of Cube is the total distance around the edge of the Cube.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Cube: 120 Meter --> 120 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (sqrt(3)*P)/24 --> (sqrt(3)*120)/24
Evaluating ... ...
rc = 8.66025403784439
STEP 3: Convert Result to Output's Unit
8.66025403784439 Meter --> No Conversion Required
8.66025403784439 8.660254 Meter <-- Circumsphere Radius of Cube
(Calculation completed in 00.003 seconds)
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## < 14 Circumsphere Radius of Cube Calculators

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

## Circumsphere Radius of Cube given Perimeter Formula

Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24
rc = (sqrt(3)*P)/24

## 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 given Perimeter?

Circumsphere Radius of Cube given Perimeter calculator uses Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24 to calculate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Perimeter 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 calculated using the perimeter of the Cube. Circumsphere Radius of Cube is denoted by rc symbol.

How to calculate Circumsphere Radius of Cube given Perimeter using this online calculator? To use this online calculator for Circumsphere Radius of Cube given Perimeter, enter Perimeter of Cube (P) and hit the calculate button. Here is how the Circumsphere Radius of Cube given Perimeter calculation can be explained with given input values -> 8.660254 = (sqrt(3)*120)/24.

### FAQ

What is Circumsphere Radius of Cube given Perimeter?
The Circumsphere Radius of Cube given Perimeter 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 calculated using the perimeter of the Cube and is represented as rc = (sqrt(3)*P)/24 or Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24. Perimeter of Cube is the total distance around the edge of the Cube.
How to calculate Circumsphere Radius of Cube given Perimeter?
The Circumsphere Radius of Cube given Perimeter 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 calculated using the perimeter of the Cube is calculated using Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24. To calculate Circumsphere Radius of Cube given Perimeter, you need Perimeter of Cube (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -
• Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube
• 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)) 