## 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
dSpace = 2*sqrt(3)*ri
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, 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
dSpace = 2*sqrt(3)*ri --> 2*sqrt(3)*5
Evaluating ... ...
dSpace = 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 00.004 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 700+ more calculators!
Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
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## < 14 Space Diagonal of Cube Calculators

Space Diagonal of Cube given Circumscribed Cylinder Radius
Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube
Space Diagonal of Cube given Inscribed Cylinder Radius
Space Diagonal of Cube = 2*sqrt(3)*Inscribed Cylinder Radius of Cube
Space Diagonal of Cube given Surface to Volume Ratio
Space Diagonal of Cube = (6*sqrt(3))/Surface to Volume Ratio of Cube
Space Diagonal of Cube given Lateral Surface Area
Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube)
Space Diagonal of Cube given Total Surface Area
Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)
Space Diagonal of Cube given Insphere Radius
Space Diagonal of Cube = 2*sqrt(3)*Insphere Radius of Cube
Space Diagonal of Cube given Midsphere Radius
Space Diagonal of Cube = sqrt(6)*Midsphere Radius of Cube
Space Diagonal of Cube given Face Perimeter
Space Diagonal of Cube = sqrt(3)/4*Face Perimeter of Cube
Space Diagonal of Cube given Face Diagonal
Space Diagonal of Cube = sqrt(3/2)*Face Diagonal of Cube
Space Diagonal of Cube given Perimeter
Space Diagonal of Cube = (sqrt(3)*Perimeter of Cube)/12
Space Diagonal of Cube given Volume
Space Diagonal of Cube = sqrt(3)*Volume of Cube^(1/3)
Space Diagonal of Cube
Space Diagonal of Cube = sqrt(3)*Edge Length of Cube
Space Diagonal of Cube given Face Area
Space Diagonal of Cube = sqrt(3*Face Area of Cube)
Space Diagonal of Cube given Circumsphere Radius
Space Diagonal of Cube = 2*Circumsphere Radius of Cube

## Space Diagonal of Cube given Insphere Radius Formula

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

## 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 dSpace 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 (ri) 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)*500.

### 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 dSpace = 2*sqrt(3)*ri 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 (ri). 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 13 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
• Space Diagonal of Cube = sqrt(3/2)*Face Diagonal of Cube
• Space Diagonal of Cube = sqrt(3*Face Area of Cube)
• Space Diagonal of Cube = sqrt(3)/4*Face Perimeter of Cube
• Space Diagonal of Cube = sqrt(3)*Volume of Cube^(1/3)
• Space Diagonal of Cube = 2*sqrt(3)*Inscribed Cylinder Radius of Cube
• Space Diagonal of Cube = 2*Circumsphere Radius of Cube
• Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube
• Space Diagonal of Cube = sqrt(6)*Midsphere Radius of Cube
• Space Diagonal of Cube = (6*sqrt(3))/Surface to Volume Ratio of Cube
• Space Diagonal of Cube = (sqrt(3)*Perimeter of Cube)/12
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