Edge Length of Cube given Midsphere Radius Calculator

✖Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.ⓘ Midsphere Radius of Cube [r_m]

+10%

-10%

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

⎘ Copy

👎

Formula

✖

Edge Length of Cube given Midsphere Radius

Formula

`"l"_{"e"} = sqrt(2)*"r"_{"m"}`

Example

`"9.899495m"=sqrt(2)*"7m"`

Calculator

LaTeX

Reset

👍

Download Cube Formula PDF PDF Image

Edge Length of Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Cube = sqrt(2)*Midsphere Radius of Cube
l_e = sqrt(2)*r_m
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.
Midsphere Radius of Cube - (Measured in Meter) - Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Cube: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(2)*r_m --> sqrt(2)*7

Evaluating ... ...

l_e = 9.89949493661167

STEP 3: Convert Result to Output's Unit

9.89949493661167 Meter --> No Conversion Required

FINAL ANSWER

9.89949493661167 ≈ 9.899495 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 Midsphere 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!

< 14 Edge Length of Cube Calculators

Edge Length of Cube given Circumscribed Cylinder Radius

Go Edge Length of Cube = sqrt(2)*Circumscribed Cylinder Radius of Cube

Edge Length of Cube given Circumsphere Radius

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

Edge Length of Cube given Lateral Surface Area

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

Edge Length of Cube given Total Surface Area

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

Edge Length of Cube given Midsphere Radius

Go Edge Length of Cube = sqrt(2)*Midsphere Radius of Cube

Edge Length of Cube given Space Diagonal

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

Edge Length of Cube given Face Diagonal

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

Edge Length of Cube given Face Area

Go Edge Length of Cube = sqrt(Face Area of Cube)

Edge Length of Cube given Inscribed Cylinder Radius

Go Edge Length of Cube = 2*Inscribed Cylinder Radius of Cube

Edge Length of Cube given Surface to Volume Ratio

Go Edge Length of Cube = 6/Surface to Volume Ratio of Cube

Edge Length of Cube given Insphere Radius

Go Edge Length of Cube = 2*Insphere Radius of Cube

Edge Length of Cube given Face Perimeter

Go Edge Length of Cube = Face Perimeter of Cube/4

Edge Length of Cube given Perimeter

Go Edge Length of Cube = Perimeter of Cube/12

Edge Length of Cube given Volume

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

Edge Length of Cube given Midsphere Radius Formula

Edge Length of Cube = sqrt(2)*Midsphere Radius of Cube
l_e = sqrt(2)*r_m

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 Midsphere Radius?

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

How to calculate Edge Length of Cube given Midsphere Radius using this online calculator? To use this online calculator for Edge Length of Cube given Midsphere Radius, enter Midsphere Radius of Cube (r_m) and hit the calculate button. Here is how the Edge Length of Cube given Midsphere Radius calculation can be explained with given input values -> 9.899495 = sqrt(2)*7.

FAQ

What is Edge Length of Cube given Midsphere Radius?

The Edge Length of Cube given Midsphere Radius formula is defined as the length of any edge of the Cube, and calculated using the midsphere radius of the Cube and is represented as l_e = sqrt(2)*r_m or Edge Length of Cube = sqrt(2)*Midsphere Radius of Cube. Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

How to calculate Edge Length of Cube given Midsphere Radius?

The Edge Length of Cube given Midsphere Radius formula is defined as the length of any edge of the Cube, and calculated using the midsphere radius of the Cube is calculated using Edge Length of Cube = sqrt(2)*Midsphere Radius of Cube. To calculate Edge Length of Cube given Midsphere Radius, you need Midsphere Radius of Cube (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere Radius of Cube. We can use 13 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))
Edge Length of Cube = Face Diagonal of Cube/sqrt(2)
Edge Length of Cube = sqrt(Face Area of Cube)
Edge Length of Cube = Face Perimeter of Cube/4
Edge Length of Cube = Volume of Cube^(1/3)
Edge Length of Cube = 2*Insphere Radius of Cube
Edge Length of Cube = 6/Surface to Volume Ratio of Cube
Edge Length of Cube = sqrt(2)*Circumscribed Cylinder Radius of Cube
Edge Length of Cube = 2/sqrt(3)*Circumsphere Radius of Cube
Edge Length of Cube = 2*Inscribed Cylinder Radius of Cube
Edge Length of Cube = Perimeter of Cube/12

Home

FREE PDFs

🔍 Search