## Insphere Radius of Cube given Face Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Insphere Radius of Cube = Face Diagonal of Cube/(2*sqrt(2))
ri = dFace/(2*sqrt(2))
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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Face Diagonal of Cube: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = dFace/(2*sqrt(2)) --> 14/(2*sqrt(2))
Evaluating ... ...
ri = 4.94974746830583
STEP 3: Convert Result to Output's Unit
4.94974746830583 Meter --> No Conversion Required
4.94974746830583 4.949747 Meter <-- Insphere Radius 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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## < 14 Insphere Radius of Cube Calculators

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

## Insphere Radius of Cube given Face Diagonal Formula

Insphere Radius of Cube = Face Diagonal of Cube/(2*sqrt(2))
ri = dFace/(2*sqrt(2))

## 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 Insphere Radius of Cube given Face Diagonal?

Insphere Radius of Cube given Face Diagonal calculator uses Insphere Radius of Cube = Face Diagonal of Cube/(2*sqrt(2)) to calculate the Insphere Radius of Cube, The Insphere Radius of Cube given Face Diagonal formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the face diagonal of the Cube. Insphere Radius of Cube is denoted by ri symbol.

How to calculate Insphere Radius of Cube given Face Diagonal using this online calculator? To use this online calculator for Insphere Radius of Cube given Face Diagonal, enter Face Diagonal of Cube (dFace) and hit the calculate button. Here is how the Insphere Radius of Cube given Face Diagonal calculation can be explained with given input values -> 4.949747 = 14/(2*sqrt(2)).

### FAQ

What is Insphere Radius of Cube given Face Diagonal?
The Insphere Radius of Cube given Face Diagonal formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the face diagonal of the Cube and is represented as ri = dFace/(2*sqrt(2)) or Insphere Radius of Cube = Face Diagonal of Cube/(2*sqrt(2)). Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.
How to calculate Insphere Radius of Cube given Face Diagonal?
The Insphere Radius of Cube given Face Diagonal formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the face diagonal of the Cube is calculated using Insphere Radius of Cube = Face Diagonal of Cube/(2*sqrt(2)). To calculate Insphere Radius of Cube given Face Diagonal, you need Face Diagonal of Cube (dFace). With our tool, you need to enter the respective value for Face Diagonal 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 Insphere Radius of Cube?
In this formula, Insphere Radius of Cube uses Face Diagonal of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -
• Insphere Radius of Cube = Edge Length of Cube/2
• Insphere Radius of Cube = sqrt(Face Area of Cube)/2
• Insphere Radius of Cube = Face Perimeter of Cube/8
• Insphere Radius of Cube = Volume of Cube^(1/3)/2
• Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3))
• Insphere Radius of Cube = sqrt(Lateral Surface Area of Cube)/4
• Insphere Radius of Cube = 1/2*sqrt(Total Surface Area of Cube/6)