Midsphere Radius of Cube Calculator

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

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✖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]

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Midsphere Radius of Cube Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Edge Length of Cube: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = l_e/sqrt(2) --> 10/sqrt(2)

Evaluating ... ...

r_m = 7.07106781186547

STEP 3: Convert Result to Output's Unit

7.07106781186547 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186547 ≈ 7.071068 Meter <-- Midsphere Radius of Cube

(Calculation completed in 00.020 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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< Midsphere Radius of Cube Calculators

Midsphere Radius of Cube given Face Perimeter

LaTeX Go Midsphere Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))

Midsphere Radius of Cube

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

Midsphere Radius of Cube given Face Area

LaTeX Go Midsphere Radius of Cube = sqrt(Face Area of Cube/2)

Midsphere Radius of Cube given Face Diagonal

LaTeX Go Midsphere Radius of Cube = Face Diagonal of Cube/2

< Radius of Cube Calculators

Circumscribed Cylinder Radius of Cube

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

Circumsphere Radius of Cube

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

Midsphere Radius of Cube

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

Inscribed Cylinder Radius of Cube

LaTeX Go Inscribed Cylinder Radius of Cube = Edge Length of Cube/2

Midsphere Radius of Cube Formula

LaTeX Go

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

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 Midsphere Radius of Cube?

Midsphere Radius of Cube calculator uses Midsphere Radius of Cube = Edge Length of Cube/sqrt(2) to calculate the Midsphere Radius of Cube, The Midsphere Radius of Cube formula is defined as the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere. Midsphere Radius of Cube is denoted by r_m symbol.

How to calculate Midsphere Radius of Cube using this online calculator? To use this online calculator for Midsphere Radius of Cube, enter Edge Length of Cube (l_e) and hit the calculate button. Here is how the Midsphere Radius of Cube calculation can be explained with given input values -> 7.071068 = 10/sqrt(2).

FAQ

What is Midsphere Radius of Cube?

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

How to calculate Midsphere Radius of Cube?

The Midsphere Radius of Cube formula is defined as the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere is calculated using Midsphere Radius of Cube = Edge Length of Cube/sqrt(2). To calculate Midsphere Radius of Cube, you need Edge Length of Cube (l_e). With our tool, you need to enter the respective value for Edge Length 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 Midsphere Radius of Cube?

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

Midsphere Radius of Cube = sqrt(Face Area of Cube/2)
Midsphere Radius of Cube = Face Diagonal of Cube/2
Midsphere Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))

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