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

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Space Diagonal of Cube given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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_Space = 2*sqrt(3)*r_i --> 2*sqrt(3)*5

Evaluating ... ...

d_Space = 17.3205080756888

STEP 3: Convert Result to Output's Unit

17.3205080756888 Meter --> No Conversion Required

FINAL ANSWER

17.3205080756888 ≈ 17.32051 Meter <-- Space Diagonal of Cube

(Calculation completed in 00.020 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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< Space Diagonal of Cube Calculators

Space Diagonal of Cube given Lateral Surface Area

LaTeX Go Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube)

Space Diagonal of Cube given Total Surface Area

LaTeX Go Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)

Space Diagonal of Cube given Face Diagonal

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

Space Diagonal of Cube

LaTeX Go Space Diagonal of Cube = sqrt(3)*Edge Length of Cube

Space Diagonal of Cube given Insphere Radius Formula

LaTeX Go

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

Space Diagonal of Cube given Insphere Radius calculator uses Space Diagonal of Cube = 2*sqrt(3)*Insphere Radius of Cube to calculate the Space Diagonal of Cube, The Space Diagonal of Cube given Insphere Radius formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the insphere radius of the Cube. Space Diagonal of Cube is denoted by d_Space symbol.

How to calculate Space Diagonal of Cube given Insphere Radius using this online calculator? To use this online calculator for Space Diagonal of Cube given Insphere Radius, enter Insphere Radius of Cube (r_i) and hit the calculate button. Here is how the Space Diagonal of Cube given Insphere Radius calculation can be explained with given input values -> 17.32051 = 2*sqrt(3)*5.

FAQ

What is Space Diagonal of Cube given Insphere Radius?

The Space Diagonal of Cube given Insphere Radius formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the insphere radius of the Cube and is represented as d_Space = 2*sqrt(3)*r_i or Space Diagonal of Cube = 2*sqrt(3)*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 Space Diagonal of Cube given Insphere Radius?

The Space Diagonal of Cube given Insphere Radius formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the insphere radius of the Cube is calculated using Space Diagonal of Cube = 2*sqrt(3)*Insphere Radius of Cube. To calculate Space 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 Space Diagonal of Cube?

In this formula, Space Diagonal of Cube uses Insphere Radius of Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -

Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)
Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube)
Space Diagonal of Cube = sqrt(3)*Edge Length of Cube

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