Face Perimeter of Cube given Circumsphere Radius Calculator

✖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.ⓘ Circumsphere Radius of Cube [r_c]

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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 Circumsphere Radius [P_Face]

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Formula

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Face Perimeter of Cube given Circumsphere Radius

Formula

`"P"_{"Face"} = (8*"r"_{"c"})/sqrt(3)`

Example

`"41.56922m"=(8*"9m")/sqrt(3)`

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Face Perimeter of Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Face Perimeter of Cube = (8*Circumsphere Radius of Cube)/sqrt(3)
P_Face = (8*r_c)/sqrt(3)
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.
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.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cube: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_Face = (8*r_c)/sqrt(3) --> (8*9)/sqrt(3)

Evaluating ... ...

P_Face = 41.5692193816531

STEP 3: Convert Result to Output's Unit

41.5692193816531 Meter --> No Conversion Required

FINAL ANSWER

41.5692193816531 ≈ 41.56922 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

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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 Circumsphere Radius Formula

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

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 Circumsphere Radius?

Face Perimeter of Cube given Circumsphere Radius calculator uses Face Perimeter of Cube = (8*Circumsphere Radius of Cube)/sqrt(3) to calculate the Face Perimeter of Cube, The Face Perimeter of Cube given Circumsphere Radius formula is defined as the total distance around the four edges of any face of the Cube, and calculated using the circumsphere radius of the Cube. Face Perimeter of Cube is denoted by P_Face symbol.

How to calculate Face Perimeter of Cube given Circumsphere Radius using this online calculator? To use this online calculator for Face Perimeter of Cube given Circumsphere Radius, enter Circumsphere Radius of Cube (r_c) and hit the calculate button. Here is how the Face Perimeter of Cube given Circumsphere Radius calculation can be explained with given input values -> 41.56922 = (8*9)/sqrt(3).

FAQ

What is Face Perimeter of Cube given Circumsphere Radius?

The Face Perimeter of Cube given Circumsphere Radius formula is defined as the total distance around the four edges of any face of the Cube, and calculated using the circumsphere radius of the Cube and is represented as P_Face = (8*r_c)/sqrt(3) or Face Perimeter of Cube = (8*Circumsphere Radius of Cube)/sqrt(3). 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.

How to calculate Face Perimeter of Cube given Circumsphere Radius?

The Face Perimeter of Cube given Circumsphere Radius formula is defined as the total distance around the four edges of any face of the Cube, and calculated using the circumsphere radius of the Cube is calculated using Face Perimeter of Cube = (8*Circumsphere Radius of Cube)/sqrt(3). To calculate Face Perimeter of Cube given Circumsphere Radius, you need Circumsphere Radius of Cube (r_c). With our tool, you need to enter the respective value for Circumsphere 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 Circumsphere 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 = sqrt(2)*4*Circumscribed Cylinder Radius of Cube
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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