✖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 Perimeter [r_c]

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Formula

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Circumsphere Radius of Cube given Perimeter

Formula

`"r"_{"c"} = (sqrt(3)*"P")/24`

Example

`"8.660254m"=(sqrt(3)*"120m")/24`

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Circumsphere Radius of Cube given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24
r_c = (sqrt(3)*P)/24
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.
Perimeter of Cube - (Measured in Meter) - Perimeter of Cube is the total distance around the edge of the Cube.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Cube: 120 Meter --> 120 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (sqrt(3)*P)/24 --> (sqrt(3)*120)/24

Evaluating ... ...

r_c = 8.66025403784439

STEP 3: Convert Result to Output's Unit

8.66025403784439 Meter --> No Conversion Required

FINAL ANSWER

8.66025403784439 ≈ 8.660254 Meter <-- Circumsphere Radius of Cube

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Platonic Solids » Cube » Radius of Cube » Circumsphere Radius of Cube » Circumsphere Radius of Cube given Perimeter

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< 14 Circumsphere Radius of Cube Calculators

Circumsphere Radius of Cube given Total Surface Area

Go Circumsphere Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(2))

Circumsphere Radius of Cube given Face Diagonal

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

Circumsphere Radius of Cube given Circumscribed Cylinder Radius

Go Circumsphere Radius of Cube = sqrt(3/2)*Circumscribed Cylinder Radius of Cube

Circumsphere Radius of Cube given Surface to Volume Ratio

Go Circumsphere Radius of Cube = (3*sqrt(3))/Surface to Volume Ratio of Cube

Circumsphere Radius of Cube given Inscribed Cylinder Radius

Go Circumsphere Radius of Cube = sqrt(3)*Inscribed Cylinder Radius of Cube

Circumsphere Radius of Cube given Lateral Surface Area

Go Circumsphere Radius of Cube = sqrt(3*Lateral Surface Area of Cube)/4

Circumsphere Radius of Cube given Midsphere Radius

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

Circumsphere Radius of Cube given Face Perimeter

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

Circumsphere Radius of Cube given Insphere Radius

Go Circumsphere Radius of Cube = sqrt(3)*Insphere Radius of Cube

Circumsphere Radius of Cube given Perimeter

Go Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24

Circumsphere Radius of Cube given Volume

Go Circumsphere Radius of Cube = sqrt(3)/2*Volume of Cube^(1/3)

Circumsphere Radius of Cube

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

Circumsphere Radius of Cube given Face Area

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

Circumsphere Radius of Cube given Space Diagonal

Go Circumsphere Radius of Cube = Space Diagonal of Cube/2

Circumsphere Radius of Cube given Perimeter Formula

Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24
r_c = (sqrt(3)*P)/24

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 Perimeter?

Circumsphere Radius of Cube given Perimeter calculator uses Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24 to calculate the Circumsphere Radius of Cube, The Circumsphere Radius of Cube given Perimeter 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 perimeter of the Cube. Circumsphere Radius of Cube is denoted by r_c symbol.

How to calculate Circumsphere Radius of Cube given Perimeter using this online calculator? To use this online calculator for Circumsphere Radius of Cube given Perimeter, enter Perimeter of Cube (P) and hit the calculate button. Here is how the Circumsphere Radius of Cube given Perimeter calculation can be explained with given input values -> 8.660254 = (sqrt(3)*120)/24.

FAQ

What is Circumsphere Radius of Cube given Perimeter?

The Circumsphere Radius of Cube given Perimeter 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 perimeter of the Cube and is represented as r_c = (sqrt(3)*P)/24 or Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24. Perimeter of Cube is the total distance around the edge of the Cube.

How to calculate Circumsphere Radius of Cube given Perimeter?

The Circumsphere Radius of Cube given Perimeter 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 perimeter of the Cube is calculated using Circumsphere Radius of Cube = (sqrt(3)*Perimeter of Cube)/24. To calculate Circumsphere Radius of Cube given Perimeter, you need Perimeter of Cube (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter of Cube. We can use 13 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
Circumsphere Radius of Cube = sqrt(3)/8*Face Perimeter of Cube
Circumsphere Radius of Cube = sqrt(3)/2*Volume of Cube^(1/3)
Circumsphere Radius of Cube = Space Diagonal of Cube/2
Circumsphere Radius of Cube = sqrt(3*Lateral Surface Area of Cube)/4
Circumsphere Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(2))
Circumsphere Radius of Cube = sqrt(3)*Insphere Radius of Cube
Circumsphere Radius of Cube = sqrt(3/2)*Midsphere Radius of Cube
Circumsphere Radius of Cube = sqrt(3/2)*Circumscribed Cylinder Radius of Cube
Circumsphere Radius of Cube = sqrt(3)*Inscribed Cylinder Radius of Cube
Circumsphere Radius of Cube = (3*sqrt(3))/Surface to Volume Ratio of Cube

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