Face Diagonal of Cube given Insphere Radius Calculator

✖Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Cube [r_i]

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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 Insphere Radius [d_Face]

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Face Diagonal of Cube given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Face Diagonal of Cube = 2*sqrt(2)*Insphere Radius of Cube
d_Face = 2*sqrt(2)*r_i
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.
Insphere Radius of Cube - (Measured in Meter) - Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Cube: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Face = 2*sqrt(2)*r_i --> 2*sqrt(2)*5

Evaluating ... ...

d_Face = 14.142135623731

STEP 3: Convert Result to Output's Unit

14.142135623731 Meter --> No Conversion Required

FINAL ANSWER

14.142135623731 ≈ 14.14214 Meter <-- Face Diagonal 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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< Face Diagonal of Cube Calculators

Face Diagonal of Cube given Lateral Surface Area

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

Face Diagonal of Cube given Total Surface Area

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

Face Diagonal of Cube

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

Face Diagonal of Cube given Face Area

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

Face Diagonal of Cube given Insphere Radius Formula

LaTeX Go

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

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 Insphere Radius?

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

How to calculate Face Diagonal of Cube given Insphere Radius using this online calculator? To use this online calculator for Face Diagonal of Cube given Insphere Radius, enter Insphere Radius of Cube (r_i) and hit the calculate button. Here is how the Face Diagonal of Cube given Insphere Radius calculation can be explained with given input values -> 14.14214 = 2*sqrt(2)*5.

FAQ

What is Face Diagonal of Cube given Insphere Radius?

The Face Diagonal of Cube given Insphere Radius formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the insphere radius of the Cube and is represented as d_Face = 2*sqrt(2)*r_i or Face Diagonal of Cube = 2*sqrt(2)*Insphere Radius of Cube. Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.

How to calculate Face Diagonal of Cube given Insphere Radius?

The Face Diagonal of Cube given Insphere Radius formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the insphere radius of the Cube is calculated using Face Diagonal of Cube = 2*sqrt(2)*Insphere Radius of Cube. To calculate Face Diagonal of Cube given Insphere Radius, you need Insphere Radius of Cube (r_i). With our tool, you need to enter the respective value for Insphere 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 Insphere Radius of Cube. We can use 3 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)

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