Circumsphere Radius 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]

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✖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 given Midsphere Radius [r_c]

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Circumsphere Radius of Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Cube = sqrt(3/2)*Midsphere Radius of Cube
r_c = sqrt(3/2)*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

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.
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

r_c = sqrt(3/2)*r_m --> sqrt(3/2)*7

Evaluating ... ...

r_c = 8.57321409974112

STEP 3: Convert Result to Output's Unit

8.57321409974112 Meter --> No Conversion Required

FINAL ANSWER

8.57321409974112 ≈ 8.573214 Meter <-- Circumsphere Radius of Cube

(Calculation completed in 00.004 seconds)

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Circumsphere Radius of Cube given Face Diagonal

LaTeX Go Circumsphere Radius of Cube = sqrt(3)/(2*sqrt(2))*Face Diagonal of Cube

Circumsphere Radius of Cube given Face Perimeter

LaTeX Go Circumsphere Radius of Cube = sqrt(3)/8*Face Perimeter of Cube

Circumsphere Radius of Cube

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

Circumsphere Radius of Cube given Face Area

LaTeX Go Circumsphere Radius of Cube = sqrt(3*Face Area of Cube)/2

Circumsphere Radius of Cube given Midsphere Radius Formula

LaTeX Go

Circumsphere Radius of Cube = sqrt(3/2)*Midsphere Radius of Cube
r_c = sqrt(3/2)*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 Circumsphere Radius of Cube given Midsphere Radius?

Circumsphere Radius of Cube given Midsphere Radius calculator uses Circumsphere Radius of Cube = sqrt(3/2)*Midsphere Radius of Cube to calculate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Midsphere Radius formula is defined as the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere, and calculated using the midsphere radius of Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

How to calculate Circumsphere Radius of Cube given Midsphere Radius using this online calculator? To use this online calculator for Circumsphere Radius of Cube given Midsphere Radius, enter Midsphere Radius of Cube (r_m) and hit the calculate button. Here is how the Circumsphere Radius of Cube given Midsphere Radius calculation can be explained with given input values -> 8.573214 = sqrt(3/2)*7.

FAQ

What is Circumsphere Radius of Cube given Midsphere Radius?

The Circumsphere Radius of Cube given Midsphere Radius formula is defined as the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere, and calculated using the midsphere radius of Cube and is represented as r_c = sqrt(3/2)*r_m or Circumsphere Radius of Cube = sqrt(3/2)*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 Circumsphere Radius of Cube given Midsphere Radius?

The Circumsphere Radius of Cube given Midsphere Radius formula is defined as the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere, and calculated using the midsphere radius of Cube is calculated using Circumsphere Radius of Cube = sqrt(3/2)*Midsphere Radius of Cube. To calculate Circumsphere Radius 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 Circumsphere Radius of Cube?

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

Circumsphere Radius of Cube = sqrt(3)/2*Edge Length of Cube
Circumsphere Radius of Cube = sqrt(3*Face Area of Cube)/2
Circumsphere Radius of Cube = sqrt(3)/(2*sqrt(2))*Face Diagonal of Cube

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