Midsphere Radius of Cube given Perimeter Calculator

✖Perimeter of Cube is the total distance around the edge of the Cube.ⓘ Perimeter of Cube [P]

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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 given Perimeter [r_m]

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Midsphere Radius of Cube given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Cube = Perimeter of Cube/(12*sqrt(2))
r_m = P/(12*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.
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_m = P/(12*sqrt(2)) --> 120/(12*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 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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

Midsphere Radius of Cube given Perimeter Formula

LaTeX Go

Midsphere Radius of Cube = Perimeter of Cube/(12*sqrt(2))
r_m = P/(12*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 given Perimeter?

Midsphere Radius of Cube given Perimeter calculator uses Midsphere Radius of Cube = Perimeter of Cube/(12*sqrt(2)) to calculate the Midsphere Radius of Cube, The Midsphere Radius of Cube given Perimeter 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 perimeter of the Cube. Midsphere Radius of Cube is denoted by r_m symbol.

How to calculate Midsphere Radius of Cube given Perimeter using this online calculator? To use this online calculator for Midsphere Radius of Cube given Perimeter, enter Perimeter of Cube (P) and hit the calculate button. Here is how the Midsphere Radius of Cube given Perimeter calculation can be explained with given input values -> 7.071068 = 120/(12*sqrt(2)).

FAQ

What is Midsphere Radius of Cube given Perimeter?

The Midsphere Radius of Cube given Perimeter 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 perimeter of the Cube and is represented as r_m = P/(12*sqrt(2)) or Midsphere Radius of Cube = Perimeter of Cube/(12*sqrt(2)). Perimeter of Cube is the total distance around the edge of the Cube.

How to calculate Midsphere Radius of Cube given Perimeter?

The Midsphere Radius of Cube given Perimeter 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 perimeter of the Cube is calculated using Midsphere Radius of Cube = Perimeter of Cube/(12*sqrt(2)). To calculate Midsphere 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 Midsphere Radius of Cube?

In this formula, Midsphere Radius of Cube uses Perimeter 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

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