Circumsphere Radius of Cube given Space Diagonal Calculator

✖Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.ⓘ Space Diagonal of Cube [d_Space]

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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 Space Diagonal [r_c]

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Circumsphere Radius of Cube given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Cube = Space Diagonal of Cube/2
r_c = d_Space/2
This formula uses 2 Variables

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.
Space Diagonal of Cube - (Measured in Meter) - Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Cube: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = d_Space/2 --> 17/2

Evaluating ... ...

r_c = 8.5

STEP 3: Convert Result to Output's Unit

8.5 Meter --> No Conversion Required

FINAL ANSWER

8.5 Meter <-- Circumsphere Radius of Cube

(Calculation completed in 00.004 seconds)

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Mumbai University (DJSCE), Mumbai

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< Circumsphere Radius of Cube Calculators

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 Space Diagonal Formula

LaTeX Go

Circumsphere Radius of Cube = Space Diagonal of Cube/2
r_c = d_Space/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 Circumsphere Radius of Cube given Space Diagonal?

Circumsphere Radius of Cube given Space Diagonal calculator uses Circumsphere Radius of Cube = Space Diagonal of Cube/2 to calculate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Space Diagonal 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 space diagonal of Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

How to calculate Circumsphere Radius of Cube given Space Diagonal using this online calculator? To use this online calculator for Circumsphere Radius of Cube given Space Diagonal, enter Space Diagonal of Cube (d_Space) and hit the calculate button. Here is how the Circumsphere Radius of Cube given Space Diagonal calculation can be explained with given input values -> 8.5 = 17/2.

FAQ

What is Circumsphere Radius of Cube given Space Diagonal?

The Circumsphere Radius of Cube given Space Diagonal 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 space diagonal of Cube and is represented as r_c = d_Space/2 or Circumsphere Radius of Cube = Space Diagonal of Cube/2. Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.

How to calculate Circumsphere Radius of Cube given Space Diagonal?

The Circumsphere Radius of Cube given Space Diagonal 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 space diagonal of Cube is calculated using Circumsphere Radius of Cube = Space Diagonal of Cube/2. To calculate Circumsphere Radius of Cube given Space Diagonal, you need Space Diagonal of Cube (d_Space). With our tool, you need to enter the respective value for Space Diagonal 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 Space Diagonal 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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