Face Diagonal 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 Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.ⓘ Face Diagonal of Cube given Circumsphere Radius [d_Face]

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Formula

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Face Diagonal of Cube given Circumsphere Radius

Formula

`"d"_{"Face"} = 2*sqrt(2/3)*"r"_{"c"}`

Example

`"14.69694m"=2*sqrt(2/3)*"9m"`

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Face Diagonal of Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Face Diagonal of Cube = 2*sqrt(2/3)*Circumsphere Radius of Cube
d_Face = 2*sqrt(2/3)*r_c
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 Diagonal of Cube - (Measured in Meter) - Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square 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

d_Face = 2*sqrt(2/3)*r_c --> 2*sqrt(2/3)*9

Evaluating ... ...

d_Face = 14.6969384566991

STEP 3: Convert Result to Output's Unit

14.6969384566991 Meter --> No Conversion Required

FINAL ANSWER

14.6969384566991 ≈ 14.69694 Meter <-- Face Diagonal of Cube

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 3D Geometry » Platonic Solids » Cube » Diagonal of Cube » Face Diagonal of Cube » Face Diagonal of Cube given Circumsphere Radius

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

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< 14 Face Diagonal of Cube Calculators

Face Diagonal of Cube given Inscribed Cylinder Radius

Go Face Diagonal of Cube = 2*sqrt(2)*Inscribed Cylinder Radius of Cube

Face Diagonal of Cube given Surface to Volume Ratio

Go Face Diagonal of Cube = (6*sqrt(2))/Surface to Volume Ratio of Cube

Face Diagonal of Cube given Circumsphere Radius

Go Face Diagonal of Cube = 2*sqrt(2/3)*Circumsphere Radius of Cube

Face Diagonal of Cube given Lateral Surface Area

Go Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2)

Face Diagonal of Cube given Total Surface Area

Go Face Diagonal of Cube = sqrt(Total Surface Area of Cube/3)

Face Diagonal of Cube given Face Perimeter

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

Face Diagonal of Cube given Insphere Radius

Go Face Diagonal of Cube = 2*sqrt(2)*Insphere Radius of Cube

Face Diagonal of Cube given Space Diagonal

Go Face Diagonal of Cube = sqrt(2/3)*Space Diagonal of Cube

Face Diagonal of Cube given Perimeter

Go Face Diagonal of Cube = (sqrt(2)*Perimeter of Cube)/12

Face Diagonal of Cube given Volume

Go Face Diagonal of Cube = sqrt(2)*Volume of Cube^(1/3)

Face Diagonal of Cube

Go Face Diagonal of Cube = sqrt(2)*Edge Length of Cube

Face Diagonal of Cube given Face Area

Go Face Diagonal of Cube = sqrt(2*Face Area of Cube)

Face Diagonal of Cube given Circumscribed Cylinder Radius

Go Face Diagonal of Cube = 2*Circumscribed Cylinder Radius of Cube

Face Diagonal of Cube given Midsphere Radius

Go Face Diagonal of Cube = 2*Midsphere Radius of Cube

Face Diagonal of Cube given Circumsphere Radius Formula

Face Diagonal of Cube = 2*sqrt(2/3)*Circumsphere Radius of Cube
d_Face = 2*sqrt(2/3)*r_c

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 Diagonal of Cube given Circumsphere Radius?

Face Diagonal of Cube given Circumsphere Radius calculator uses Face Diagonal of Cube = 2*sqrt(2/3)*Circumsphere Radius of Cube to calculate the Face Diagonal of Cube, The Face Diagonal of Cube given Circumsphere Radius formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the circumsphere radius of the Cube. Face Diagonal of Cube is denoted by d_Face symbol.

How to calculate Face Diagonal of Cube given Circumsphere Radius using this online calculator? To use this online calculator for Face Diagonal of Cube given Circumsphere Radius, enter Circumsphere Radius of Cube (r_c) and hit the calculate button. Here is how the Face Diagonal of Cube given Circumsphere Radius calculation can be explained with given input values -> 14.69694 = 2*sqrt(2/3)*9.

FAQ

What is Face Diagonal of Cube given Circumsphere Radius?

The Face Diagonal of Cube given Circumsphere Radius formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the circumsphere radius of the Cube and is represented as d_Face = 2*sqrt(2/3)*r_c or Face Diagonal of Cube = 2*sqrt(2/3)*Circumsphere Radius of Cube. 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 Diagonal of Cube given Circumsphere Radius?

The Face Diagonal of Cube given Circumsphere Radius formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the circumsphere radius of the Cube is calculated using Face Diagonal of Cube = 2*sqrt(2/3)*Circumsphere Radius of Cube. To calculate Face Diagonal 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 Diagonal of Cube?

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

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

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