Midsphere Radius 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%

✖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 given Insphere Radius [r_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cube Formula PDF PDF Image

Midsphere Radius of Cube given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Cube = sqrt(2)*Insphere Radius of Cube
r_m = sqrt(2)*r_i
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.
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

r_m = sqrt(2)*r_i --> sqrt(2)*5

Evaluating ... ...

r_m = 7.07106781186548

STEP 3: Convert Result to Output's Unit

7.07106781186548 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186548 ≈ 7.071068 Meter <-- Midsphere Radius of Cube

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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

< 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

Midsphere Radius of Cube given Insphere Radius Formula

LaTeX Go

Midsphere Radius of Cube = sqrt(2)*Insphere Radius of Cube
r_m = sqrt(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 Midsphere Radius of Cube given Insphere Radius?

Midsphere Radius of Cube given Insphere Radius calculator uses Midsphere Radius of Cube = sqrt(2)*Insphere Radius of Cube to calculate the Midsphere Radius of Cube, The Midsphere Radius of Cube given Insphere Radius 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 calculated using the insphere radius of the Cube. Midsphere Radius of Cube is denoted by r_m symbol.

How to calculate Midsphere Radius of Cube given Insphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Cube given Insphere Radius, enter Insphere Radius of Cube (r_i) and hit the calculate button. Here is how the Midsphere Radius of Cube given Insphere Radius calculation can be explained with given input values -> 7.071068 = sqrt(2)*5.

FAQ

What is Midsphere Radius of Cube given Insphere Radius?

The Midsphere Radius of Cube given Insphere Radius 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 calculated using the insphere radius of the Cube and is represented as r_m = sqrt(2)*r_i or Midsphere Radius of Cube = sqrt(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 Midsphere Radius of Cube given Insphere Radius?

The Midsphere Radius of Cube given Insphere Radius 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 calculated using the insphere radius of the Cube is calculated using Midsphere Radius of Cube = sqrt(2)*Insphere Radius of Cube. To calculate Midsphere Radius 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 Midsphere Radius of Cube?

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

Midsphere Radius of Cube = Edge Length of Cube/sqrt(2)
Midsphere Radius of Cube = sqrt(Face Area of Cube/2)
Midsphere Radius of Cube = Face Diagonal of Cube/2

Home

FREE PDFs

🔍 Search