Face Perimeter of Cube given Circumscribed Cylinder Radius Calculator

✖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 [r_c(Cylinder)]

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

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Formula

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Face Perimeter of Cube given Circumscribed Cylinder Radius

Formula

`"P"_{"Face"} = sqrt(2)*4*"r"_{"c(Cylinder)"}`

Example

`"39.59798m"=sqrt(2)*4*"7m"`

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Face Perimeter of Cube given Circumscribed Cylinder Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Circumscribed Cylinder Radius of Cube: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_Face = sqrt(2)*4*r_c(Cylinder) --> sqrt(2)*4*7

Evaluating ... ...

P_Face = 39.5979797464467

STEP 3: Convert Result to Output's Unit

39.5979797464467 Meter --> No Conversion Required

FINAL ANSWER

39.5979797464467 ≈ 39.59798 Meter <-- Face Perimeter of Cube

(Calculation completed in 00.004 seconds)

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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

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< 14 Face Perimeter of Cube Calculators

Face Perimeter of Cube given Circumscribed Cylinder Radius

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

Face Perimeter of Cube given Circumsphere Radius

Go Face Perimeter of Cube = (8*Circumsphere Radius of Cube)/sqrt(3)

Face Perimeter of Cube given Total Surface Area

Go Face Perimeter of Cube = 4*sqrt((Total Surface Area of Cube)/6)

Face Perimeter of Cube given Lateral Surface Area

Go Face Perimeter of Cube = 2*sqrt(Lateral Surface Area of Cube)

Face Perimeter of Cube given Midsphere Radius

Go Face Perimeter of Cube = sqrt(2)*4*Midsphere Radius of Cube

Face Perimeter of Cube given Space Diagonal

Go Face Perimeter of Cube = (4*Space Diagonal of Cube)/sqrt(3)

Face Perimeter of Cube given Face Diagonal

Go Face Perimeter of Cube = (4*Face Diagonal of Cube)/sqrt(2)

Face Perimeter of Cube given Face Area

Go Face Perimeter of Cube = 4*sqrt(Face Area of Cube)

Face Perimeter of Cube given Inscribed Cylinder Radius

Go Face Perimeter of Cube = 8*Inscribed Cylinder Radius of Cube

Face Perimeter of Cube given Surface to Volume Ratio

Go Face Perimeter of Cube = 24/Surface to Volume Ratio of Cube

Face Perimeter of Cube given Insphere Radius

Go Face Perimeter of Cube = 8*Insphere Radius of Cube

Face Perimeter of Cube given Volume

Go Face Perimeter of Cube = 4*Volume of Cube^(1/3)

Face Perimeter of Cube

Go Face Perimeter of Cube = 4*Edge Length of Cube

Face Perimeter of Cube given Perimeter

Go Face Perimeter of Cube = Perimeter of Cube/3

Face Perimeter of Cube given Circumscribed Cylinder Radius Formula

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

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 Face Perimeter of Cube given Circumscribed Cylinder Radius?

Face Perimeter of Cube given Circumscribed Cylinder Radius calculator uses Face Perimeter of Cube = sqrt(2)*4*Circumscribed Cylinder Radius of Cube to calculate the Face Perimeter of Cube, The Face Perimeter of Cube given Circumscribed Cylinder Radius formula is defined as the total distance around the four edges of any face of the Cube, and calculated using the circumscribed cylinder radius of the Cube. Face Perimeter of Cube is denoted by P_Face symbol.

How to calculate Face Perimeter of Cube given Circumscribed Cylinder Radius using this online calculator? To use this online calculator for Face Perimeter of Cube given Circumscribed Cylinder Radius, enter Circumscribed Cylinder Radius of Cube (r_c(Cylinder)) and hit the calculate button. Here is how the Face Perimeter of Cube given Circumscribed Cylinder Radius calculation can be explained with given input values -> 39.59798 = sqrt(2)*4*7.

FAQ

What is Face Perimeter of Cube given Circumscribed Cylinder Radius?

The Face Perimeter of Cube given Circumscribed Cylinder Radius formula is defined as the total distance around the four edges of any face of the Cube, and calculated using the circumscribed cylinder radius of the Cube and is represented as P_Face = sqrt(2)*4*r_c(Cylinder) or Face Perimeter of Cube = sqrt(2)*4*Circumscribed Cylinder Radius of Cube. 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.

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

The Face Perimeter of Cube given Circumscribed Cylinder Radius formula is defined as the total distance around the four edges of any face of the Cube, and calculated using the circumscribed cylinder radius of the Cube is calculated using Face Perimeter of Cube = sqrt(2)*4*Circumscribed Cylinder Radius of Cube. To calculate Face Perimeter of Cube given Circumscribed Cylinder Radius, you need Circumscribed Cylinder Radius of Cube (r_c(Cylinder)). With our tool, you need to enter the respective value for Circumscribed Cylinder Radius 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 Face Perimeter of Cube?

In this formula, Face Perimeter of Cube uses Circumscribed Cylinder Radius of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -

Face Perimeter of Cube = 4*Edge Length of Cube
Face Perimeter of Cube = (4*Face Diagonal of Cube)/sqrt(2)
Face Perimeter of Cube = 4*sqrt(Face Area of Cube)
Face Perimeter of Cube = 4*Volume of Cube^(1/3)
Face Perimeter of Cube = (4*Space Diagonal of Cube)/sqrt(3)
Face Perimeter of Cube = 2*sqrt(Lateral Surface Area of Cube)
Face Perimeter of Cube = 4*sqrt((Total Surface Area of Cube)/6)
Face Perimeter of Cube = 8*Insphere Radius of Cube
Face Perimeter of Cube = 8*Inscribed Cylinder Radius of Cube
Face Perimeter of Cube = (8*Circumsphere Radius of Cube)/sqrt(3)
Face Perimeter of Cube = sqrt(2)*4*Midsphere Radius of Cube
Face Perimeter of Cube = 24/Surface to Volume Ratio of Cube
Face Perimeter of Cube = Perimeter of Cube/3

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