Insphere Radius of Cube given Space Diagonal Calculator

✖Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.ⓘ Space Diagonal of Cube [d_Space]

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✖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 given Space Diagonal [r_i]

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Insphere Radius of Cube given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3))
r_i = d_Space/(2*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

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.
Space Diagonal of Cube - (Measured in Meter) - Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Cube: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = d_Space/(2*sqrt(3)) --> 17/(2*sqrt(3))

Evaluating ... ...

r_i = 4.90747728811182

STEP 3: Convert Result to Output's Unit

4.90747728811182 Meter --> No Conversion Required

FINAL ANSWER

4.90747728811182 ≈ 4.907477 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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< Insphere Radius of Cube Calculators

Insphere Radius of Cube given Face Diagonal

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

Insphere Radius of Cube given Face Area

LaTeX Go Insphere Radius of Cube = sqrt(Face Area of Cube)/2

Insphere Radius of Cube given Face Perimeter

LaTeX Go Insphere Radius of Cube = Face Perimeter of Cube/8

Insphere Radius of Cube

LaTeX Go Insphere Radius of Cube = Edge Length of Cube/2

Insphere Radius of Cube given Space Diagonal Formula

LaTeX Go

Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3))
r_i = d_Space/(2*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 Insphere Radius of Cube given Space Diagonal?

Insphere Radius of Cube given Space Diagonal calculator uses Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3)) to calculate the Insphere Radius of Cube, The Insphere Radius of Cube given Space 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 space diagonal of the Cube. Insphere Radius of Cube is denoted by r_i symbol.

How to calculate Insphere Radius of Cube given Space Diagonal using this online calculator? To use this online calculator for Insphere Radius of Cube given Space Diagonal, enter Space Diagonal of Cube (d_Space) and hit the calculate button. Here is how the Insphere Radius of Cube given Space Diagonal calculation can be explained with given input values -> 4.907477 = 17/(2*sqrt(3)).

FAQ

What is Insphere Radius of Cube given Space Diagonal?

The Insphere Radius of Cube given Space 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 space diagonal of the Cube and is represented as r_i = d_Space/(2*sqrt(3)) or Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3)). Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.

How to calculate Insphere Radius of Cube given Space Diagonal?

The Insphere Radius of Cube given Space 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 space diagonal of the Cube is calculated using Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3)). To calculate Insphere Radius of Cube given Space Diagonal, you need Space Diagonal of Cube (d_Space). With our tool, you need to enter the respective value for Space 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 Space Diagonal of Cube. We can use 3 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 = Face Diagonal of Cube/(2*sqrt(2))
Insphere Radius of Cube = sqrt(Face Area of Cube)/2

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