Face Diagonal of Cube given Midsphere Radius Calculator

✖Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.ⓘ Midsphere Radius of Cube [r_m]

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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 Midsphere Radius [d_Face]

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Formula

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Face Diagonal of Cube given Midsphere Radius

Formula

`"d"_{"Face"} = 2*"r"_{"m"}`

Example

`"14m"=2*"7m"`

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Face Diagonal of Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Face Diagonal of Cube = 2*Midsphere Radius of Cube
d_Face = 2*r_m
This formula uses 2 Variables

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.
Midsphere Radius of Cube - (Measured in Meter) - Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Cube: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Face = 2*r_m --> 2*7

Evaluating ... ...

d_Face = 14

STEP 3: Convert Result to Output's Unit

14 Meter --> No Conversion Required

FINAL ANSWER

14 Meter <-- Face Diagonal of Cube

(Calculation completed in 00.004 seconds)

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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 Midsphere Radius Formula

Face Diagonal of Cube = 2*Midsphere Radius of Cube
d_Face = 2*r_m

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 Midsphere Radius?

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

How to calculate Face Diagonal of Cube given Midsphere Radius using this online calculator? To use this online calculator for Face Diagonal of Cube given Midsphere Radius, enter Midsphere Radius of Cube (r_m) and hit the calculate button. Here is how the Face Diagonal of Cube given Midsphere Radius calculation can be explained with given input values -> 14 = 2*7.

FAQ

What is Face Diagonal of Cube given Midsphere Radius?

The Face Diagonal of Cube given Midsphere Radius formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the midsphere radius of the Cube and is represented as d_Face = 2*r_m or Face Diagonal of Cube = 2*Midsphere Radius of Cube. Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

How to calculate Face Diagonal of Cube given Midsphere Radius?

The Face Diagonal of Cube given Midsphere Radius formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the midsphere radius of the Cube is calculated using Face Diagonal of Cube = 2*Midsphere Radius of Cube. To calculate Face Diagonal of Cube given Midsphere Radius, you need Midsphere Radius of Cube (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere 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*sqrt(2/3)*Circumsphere Radius of Cube
Face Diagonal of Cube = 2*Circumscribed Cylinder 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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