Edge Length of Cube given Circumsphere Radius Calculator

✖Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.ⓘ Circumsphere Radius of Cube [r_c]

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

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Edge Length of Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Cube = 2/sqrt(3)*Circumsphere Radius of Cube
l_e = 2/sqrt(3)*r_c
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

Edge Length of Cube - (Measured in Meter) - Edge Length of Cube is the length of any edge of a Cube.
Circumsphere Radius of Cube - (Measured in Meter) - Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cube: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = 2/sqrt(3)*r_c --> 2/sqrt(3)*9

Evaluating ... ...

l_e = 10.3923048454133

STEP 3: Convert Result to Output's Unit

10.3923048454133 Meter --> No Conversion Required

FINAL ANSWER

10.3923048454133 ≈ 10.3923 Meter <-- Edge Length 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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The National Institute of Engineering (NIE), Mysuru

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< 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 Calculators

Edge Length of Cube given Circumsphere Radius

LaTeX Go Edge Length of Cube = 2/sqrt(3)*Circumsphere Radius of Cube

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 Volume

LaTeX Go Edge Length of Cube = Volume of Cube^(1/3)

Edge Length of Cube given Circumsphere Radius Formula

LaTeX Go

Edge Length of Cube = 2/sqrt(3)*Circumsphere Radius of Cube
l_e = 2/sqrt(3)*r_c

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 Circumsphere Radius?

Edge Length of Cube given Circumsphere Radius calculator uses Edge Length of Cube = 2/sqrt(3)*Circumsphere Radius of Cube to calculate the Edge Length of Cube, The Edge Length of Cube given Circumsphere Radius formula is defined as the length of any edge of the Cube, and calculated using the circumsphere radius of the Cube. Edge Length of Cube is denoted by l_e symbol.

How to calculate Edge Length of Cube given Circumsphere Radius using this online calculator? To use this online calculator for Edge Length of Cube given Circumsphere Radius, enter Circumsphere Radius of Cube (r_c) and hit the calculate button. Here is how the Edge Length of Cube given Circumsphere Radius calculation can be explained with given input values -> 10.3923 = 2/sqrt(3)*9.

FAQ

What is Edge Length of Cube given Circumsphere Radius?

The Edge Length of Cube given Circumsphere Radius formula is defined as the length of any edge of the Cube, and calculated using the circumsphere radius of the Cube and is represented as l_e = 2/sqrt(3)*r_c or Edge Length of Cube = 2/sqrt(3)*Circumsphere Radius of Cube. Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

How to calculate Edge Length of Cube given Circumsphere Radius?

The Edge Length of Cube given Circumsphere Radius formula is defined as the length of any edge of the Cube, and calculated using the circumsphere radius of the Cube is calculated using Edge Length of Cube = 2/sqrt(3)*Circumsphere Radius of Cube. To calculate Edge Length of Cube given Circumsphere Radius, you need Circumsphere Radius of Cube (r_c). With our tool, you need to enter the respective value for Circumsphere 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 Circumsphere 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))

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