Edge Length 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]

+10%

-10%

✖Edge Length of Cube is the length of any edge of a Cube.ⓘ Edge Length of Cube given Insphere Radius [l_e]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cube Formula PDF PDF Image

Edge Length of Cube given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Cube = 2*Insphere Radius of Cube
l_e = 2*r_i
This formula uses 2 Variables

Variables Used

Edge Length of Cube - (Measured in Meter) - Edge Length of Cube is the length of any edge of a 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

l_e = 2*r_i --> 2*5

Evaluating ... ...

l_e = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Edge Length of Cube

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Platonic Solids » Cube » Edge Length of Cube » Edge Length of Cube given Insphere Radius

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 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< Edge Length of Cube Calculators

Edge Length of Cube given Lateral Surface Area

LaTeX Go Edge Length of Cube = sqrt(Lateral Surface Area of Cube/4)

Edge Length of Cube given Total Surface Area

LaTeX Go Edge Length of Cube = sqrt(Total Surface Area of Cube/6)

Edge Length of Cube given Space Diagonal

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

Edge Length of Cube given Face Diagonal

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

Edge Length of Cube given Insphere Radius Formula

LaTeX Go

Edge Length of Cube = 2*Insphere Radius of Cube
l_e = 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 Edge Length of Cube given Insphere Radius?

Edge Length of Cube given Insphere Radius calculator uses Edge Length of Cube = 2*Insphere Radius of Cube to calculate the Edge Length of Cube, The Edge Length of Cube given Insphere Radius formula is defined as the length of any edge of the Cube, and calculated using the insphere radius of the Cube. Edge Length of Cube is denoted by l_e symbol.

How to calculate Edge Length of Cube given Insphere Radius using this online calculator? To use this online calculator for Edge Length of Cube given Insphere Radius, enter Insphere Radius of Cube (r_i) and hit the calculate button. Here is how the Edge Length of Cube given Insphere Radius calculation can be explained with given input values -> 10 = 2*5.

FAQ

What is Edge Length of Cube given Insphere Radius?

The Edge Length of Cube given Insphere Radius formula is defined as the length of any edge of the Cube, and calculated using the insphere radius of the Cube and is represented as l_e = 2*r_i or Edge Length of Cube = 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 Edge Length of Cube given Insphere Radius?

The Edge Length of Cube given Insphere Radius formula is defined as the length of any edge of the Cube, and calculated using the insphere radius of the Cube is calculated using Edge Length of Cube = 2*Insphere Radius of Cube. To calculate Edge Length 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 Edge Length of Cube?

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

Edge Length of Cube = sqrt(Total Surface Area of Cube/6)
Edge Length of Cube = sqrt(Lateral Surface Area of Cube/4)
Edge Length of Cube = Space Diagonal of Cube/(sqrt(3))

Home

FREE PDFs

🔍 Search