Circumscribed Cylinder Radius of Cube given Face Perimeter Calculator

✖Face Perimeter of Cube is the total distance around the four edges of any face of the Cube.ⓘ Face Perimeter of Cube [P_Face]

+10%

-10%

✖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.ⓘ Circumscribed Cylinder Radius of Cube given Face Perimeter [r_c(Cylinder)]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cube Formula PDF PDF Image

Circumscribed Cylinder Radius of Cube given Face Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))
r_c(Cylinder) = P_Face/(4*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.
Face Perimeter of Cube - (Measured in Meter) - Face Perimeter of Cube is the total distance around the four edges of any face of the Cube.

STEP 1: Convert Input(s) to Base Unit

Face Perimeter of Cube: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c(Cylinder) = P_Face/(4*sqrt(2)) --> 40/(4*sqrt(2))

Evaluating ... ...

r_c(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 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Platonic Solids » Cube » Radius of Cube » Circumscribed Cylinder Radius of Cube » Circumscribed Cylinder Radius of Cube given Face Perimeter

Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< Circumscribed Cylinder Radius of Cube Calculators

Circumscribed Cylinder Radius of Cube given Face Perimeter

LaTeX Go Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))

Circumscribed Cylinder Radius of Cube given Lateral Surface Area

LaTeX Go Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8)

Circumscribed Cylinder Radius of Cube

LaTeX Go Circumscribed Cylinder Radius of Cube = Edge Length of Cube/sqrt(2)

Circumscribed Cylinder Radius of Cube given Face Area

LaTeX Go Circumscribed Cylinder Radius of Cube = sqrt(Face Area of Cube/2)

Circumscribed Cylinder Radius of Cube given Face Perimeter Formula

LaTeX Go

Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))
r_c(Cylinder) = P_Face/(4*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 Face Perimeter?

Circumscribed Cylinder Radius of Cube given Face Perimeter calculator uses Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2)) to calculate the Circumscribed Cylinder Radius of Cube, The Circumscribed Cylinder Radius of Cube given Face 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 face perimeter of the Cube. Circumscribed Cylinder Radius of Cube is denoted by r_c(Cylinder) symbol.

How to calculate Circumscribed Cylinder Radius of Cube given Face Perimeter using this online calculator? To use this online calculator for Circumscribed Cylinder Radius of Cube given Face Perimeter, enter Face Perimeter of Cube (P_Face) and hit the calculate button. Here is how the Circumscribed Cylinder Radius of Cube given Face Perimeter calculation can be explained with given input values -> 7.071068 = 40/(4*sqrt(2)).

FAQ

What is Circumscribed Cylinder Radius of Cube given Face Perimeter?

The Circumscribed Cylinder Radius of Cube given Face 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 face perimeter of the Cube and is represented as r_c(Cylinder) = P_Face/(4*sqrt(2)) or Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2)). Face Perimeter of Cube is the total distance around the four edges of any face of the Cube.

How to calculate Circumscribed Cylinder Radius of Cube given Face Perimeter?

The Circumscribed Cylinder Radius of Cube given Face 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 face perimeter of the Cube is calculated using Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2)). To calculate Circumscribed Cylinder Radius of Cube given Face Perimeter, you need Face Perimeter of Cube (P_Face). With our tool, you need to enter the respective value for Face 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 Face Perimeter of Cube. We can use 3 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 = sqrt(2)*Insphere Radius of Cube

Home

FREE PDFs

🔍 Search