Circumscribed Cylinder Radius of Cube given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumscribed Cylinder Radius of Cube = Perimeter of Cube/(12*sqrt(2))
rc(Cylinder) = P/(12*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
Circumscribed Cylinder Radius of Cube - (Measured in Meter) - Circumscribed Cylinder Radius of Cube is the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder.
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(Cylinder) = P/(12*sqrt(2)) --> 120/(12*sqrt(2))
Evaluating ... ...
rc(Cylinder) = 7.07106781186547
STEP 3: Convert Result to Output's Unit
7.07106781186547 Meter --> No Conversion Required
FINAL ANSWER
7.07106781186547 7.071068 Meter <-- Circumscribed Cylinder Radius of Cube
(Calculation completed in 00.020 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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14 Circumscribed Cylinder Radius of Cube Calculators

Circumscribed Cylinder Radius of Cube given Total Surface Area
​ Go Circumscribed Cylinder Radius of Cube = 1/sqrt(2)*sqrt(Total Surface Area of Cube/6)
Circumscribed Cylinder Radius of Cube given Surface to Volume Ratio
​ Go Circumscribed Cylinder Radius of Cube = (3*sqrt(2))/Surface to Volume Ratio of Cube
Circumscribed Cylinder Radius of Cube given Inscribed Cylinder Radius
​ Go Circumscribed Cylinder Radius of Cube = sqrt(2)*Inscribed Cylinder Radius of Cube
Circumscribed Cylinder Radius of Cube given Circumsphere Radius
​ Go Circumscribed Cylinder Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube
Circumscribed Cylinder Radius of Cube given Face Perimeter
​ Go Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))
Circumscribed Cylinder Radius of Cube given Lateral Surface Area
​ Go Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8)
Circumscribed Cylinder Radius of Cube given Insphere Radius
​ Go Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube
Circumscribed Cylinder Radius of Cube given Space Diagonal
​ Go Circumscribed Cylinder Radius of Cube = Space Diagonal of Cube/sqrt(6)
Circumscribed Cylinder Radius of Cube given Perimeter
​ Go Circumscribed Cylinder Radius of Cube = Perimeter of Cube/(12*sqrt(2))
Circumscribed Cylinder Radius of Cube given Volume
​ Go Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2)
Circumscribed Cylinder Radius of Cube
​ Go Circumscribed Cylinder Radius of Cube = Edge Length of Cube/sqrt(2)
Circumscribed Cylinder Radius of Cube given Face Area
​ Go Circumscribed Cylinder Radius of Cube = sqrt(Face Area of Cube/2)
Circumscribed Cylinder Radius of Cube given Midsphere Radius
​ Go Circumscribed Cylinder Radius of Cube = 1*Midsphere Radius of Cube
Circumscribed Cylinder Radius of Cube given Face Diagonal
​ Go Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2

Circumscribed Cylinder Radius of Cube given Perimeter Formula

Circumscribed Cylinder Radius of Cube = Perimeter of Cube/(12*sqrt(2))
rc(Cylinder) = P/(12*sqrt(2))

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 Circumscribed Cylinder Radius of Cube given Perimeter?

Circumscribed Cylinder Radius of Cube given Perimeter calculator uses Circumscribed Cylinder Radius of Cube = Perimeter of Cube/(12*sqrt(2)) to calculate the Circumscribed Cylinder Radius of Cube, The Circumscribed Cylinder Radius of Cube given Perimeter formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the perimeter of the Cube. Circumscribed Cylinder Radius of Cube is denoted by rc(Cylinder) symbol.

How to calculate Circumscribed Cylinder Radius of Cube given Perimeter using this online calculator? To use this online calculator for Circumscribed Cylinder Radius of Cube given Perimeter, enter Perimeter of Cube (P) and hit the calculate button. Here is how the Circumscribed Cylinder Radius of Cube given Perimeter calculation can be explained with given input values -> 7.071068 = 120/(12*sqrt(2)).

FAQ

What is Circumscribed Cylinder Radius of Cube given Perimeter?
The Circumscribed Cylinder Radius of Cube given Perimeter formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the perimeter of the Cube and is represented as rc(Cylinder) = P/(12*sqrt(2)) or Circumscribed Cylinder Radius of Cube = Perimeter of Cube/(12*sqrt(2)). Perimeter of Cube is the total distance around the edge of the Cube.
How to calculate Circumscribed Cylinder Radius of Cube given Perimeter?
The Circumscribed Cylinder Radius of Cube given Perimeter formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the perimeter of the Cube is calculated using Circumscribed Cylinder Radius of Cube = Perimeter of Cube/(12*sqrt(2)). To calculate Circumscribed Cylinder 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 Circumscribed Cylinder Radius of Cube?
In this formula, Circumscribed Cylinder Radius of Cube uses Perimeter of Cube. We can use 12 other way(s) to calculate the same, which is/are as follows -
  • Circumscribed Cylinder Radius of Cube = Edge Length of Cube/sqrt(2)
  • Circumscribed Cylinder Radius of Cube = sqrt(Face Area of Cube/2)
  • Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))
  • Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube
  • Circumscribed Cylinder Radius of Cube = sqrt(2)*Inscribed Cylinder Radius of Cube
  • Circumscribed Cylinder Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube
  • Circumscribed Cylinder Radius of Cube = (3*sqrt(2))/Surface to Volume Ratio of Cube
  • Circumscribed Cylinder Radius of Cube = 1*Midsphere Radius of Cube
  • Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2)
  • Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2
  • Circumscribed Cylinder Radius of Cube = Space Diagonal of Cube/sqrt(6)
  • Circumscribed Cylinder Radius of Cube = 1/sqrt(2)*sqrt(Total Surface Area of Cube/6)
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