Insphere Radius of Cube given Face Perimeter 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 given Face Perimeter [r_i]

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Formula

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Insphere Radius of Cube given Face Perimeter

Formula

`"r"_{"i"} = "P"_{"Face"}/8`

Example

`"5m"="40m"/8`

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Insphere Radius of Cube given Face Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Cube = Face Perimeter of Cube/8
r_i = P_Face/8
This formula uses 2 Variables

Variables Used

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.
Face Perimeter of Cube - (Measured in Meter) - Face Perimeter of Cube is the total distance around the four edges of any face of the Cube.

STEP 1: Convert Input(s) to Base Unit

Face Perimeter of Cube: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = P_Face/8 --> 40/8

Evaluating ... ...

r_i = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Insphere Radius of Cube

(Calculation completed in 00.004 seconds)

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Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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

< 14 Insphere Radius of Cube Calculators

Insphere Radius of Cube given Circumscribed Cylinder Radius

Go Insphere Radius of Cube = Circumscribed Cylinder Radius of Cube/sqrt(2)

Insphere Radius of Cube given Total Surface Area

Go Insphere Radius of Cube = 1/2*sqrt(Total Surface Area of Cube/6)

Insphere Radius of Cube given Lateral Surface Area

Go Insphere Radius of Cube = sqrt(Lateral Surface Area of Cube)/4

Insphere Radius of Cube given Circumsphere Radius

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

Insphere Radius of Cube given Space Diagonal

Go Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3))

Insphere Radius of Cube given Face Diagonal

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

Insphere Radius of Cube given Midsphere Radius

Go Insphere Radius of Cube = Midsphere Radius of Cube/sqrt(2)

Insphere Radius of Cube given Face Area

Go Insphere Radius of Cube = sqrt(Face Area of Cube)/2

Insphere Radius of Cube given Inscribed Cylinder Radius

Go Insphere Radius of Cube = Inscribed Cylinder Radius of Cube/1

Insphere Radius of Cube given Surface to Volume Ratio

Go Insphere Radius of Cube = 3/Surface to Volume Ratio of Cube

Insphere Radius of Cube given Face Perimeter

Go Insphere Radius of Cube = Face Perimeter of Cube/8

Insphere Radius of Cube given Volume

Go Insphere Radius of Cube = Volume of Cube^(1/3)/2

Insphere Radius of Cube

Go Insphere Radius of Cube = Edge Length of Cube/2

Insphere Radius of Cube given Perimeter

Go Insphere Radius of Cube = Perimeter of Cube/24

Insphere Radius of Cube given Face Perimeter Formula

Insphere Radius of Cube = Face Perimeter of Cube/8
r_i = P_Face/8

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 Insphere Radius of Cube given Face Perimeter?

Insphere Radius of Cube given Face Perimeter calculator uses Insphere Radius of Cube = Face Perimeter of Cube/8 to calculate the Insphere Radius of Cube, The Insphere Radius of Cube given Face Perimeter formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the face perimeter of the Cube. Insphere Radius of Cube is denoted by r_i symbol.

How to calculate Insphere Radius of Cube given Face Perimeter using this online calculator? To use this online calculator for Insphere Radius of Cube given Face Perimeter, enter Face Perimeter of Cube (P_Face) and hit the calculate button. Here is how the Insphere Radius of Cube given Face Perimeter calculation can be explained with given input values -> 5 = 40/8.

FAQ

What is Insphere Radius of Cube given Face Perimeter?

The Insphere Radius of Cube given Face Perimeter formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the face perimeter of the Cube and is represented as r_i = P_Face/8 or Insphere Radius of Cube = Face Perimeter of Cube/8. Face Perimeter of Cube is the total distance around the four edges of any face of the Cube.

How to calculate Insphere Radius of Cube given Face Perimeter?

The Insphere Radius of Cube given Face Perimeter formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the face perimeter of the Cube is calculated using Insphere Radius of Cube = Face Perimeter of Cube/8. To calculate Insphere Radius of Cube given Face Perimeter, you need Face Perimeter of Cube (P_Face). With our tool, you need to enter the respective value for Face 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 Insphere Radius of Cube?

In this formula, Insphere Radius of Cube uses Face Perimeter of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -

Insphere Radius of Cube = Edge Length of Cube/2
Insphere Radius of Cube = Face Diagonal of Cube/(2*sqrt(2))
Insphere Radius of Cube = sqrt(Face Area of Cube)/2
Insphere Radius of Cube = Volume of Cube^(1/3)/2
Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3))
Insphere Radius of Cube = sqrt(Lateral Surface Area of Cube)/4
Insphere Radius of Cube = 1/2*sqrt(Total Surface Area of Cube/6)
Insphere Radius of Cube = Inscribed Cylinder Radius of Cube/1
Insphere Radius of Cube = Circumsphere Radius of Cube/sqrt(3)
Insphere Radius of Cube = Circumscribed Cylinder Radius of Cube/sqrt(2)
Insphere Radius of Cube = Midsphere Radius of Cube/sqrt(2)
Insphere Radius of Cube = 3/Surface to Volume Ratio of Cube
Insphere Radius of Cube = Perimeter of Cube/24

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