Insphere Radius of Cube given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Insphere Radius of Cube = Volume of Cube^(1/3)/2
ri = V^(1/3)/2
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.
Volume of Cube - (Measured in Cubic Meter) - Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.
STEP 1: Convert Input(s) to Base Unit
Volume of Cube: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = V^(1/3)/2 --> 1000^(1/3)/2
Evaluating ... ...
ri = 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 00.006 seconds)

Credits

Creator Image
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!
Verifier Image
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 Volume Formula

Insphere Radius of Cube = Volume of Cube^(1/3)/2
ri = V^(1/3)/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 Insphere Radius of Cube given Volume?

Insphere Radius of Cube given Volume calculator uses Insphere Radius of Cube = Volume of Cube^(1/3)/2 to calculate the Insphere Radius of Cube, The Insphere Radius of Cube given Volume 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 volume of the Cube. Insphere Radius of Cube is denoted by ri symbol.

How to calculate Insphere Radius of Cube given Volume using this online calculator? To use this online calculator for Insphere Radius of Cube given Volume, enter Volume of Cube (V) and hit the calculate button. Here is how the Insphere Radius of Cube given Volume calculation can be explained with given input values -> 5 = 1000^(1/3)/2.

FAQ

What is Insphere Radius of Cube given Volume?
The Insphere Radius of Cube given Volume 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 volume of the Cube and is represented as ri = V^(1/3)/2 or Insphere Radius of Cube = Volume of Cube^(1/3)/2. Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.
How to calculate Insphere Radius of Cube given Volume?
The Insphere Radius of Cube given Volume 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 volume of the Cube is calculated using Insphere Radius of Cube = Volume of Cube^(1/3)/2. To calculate Insphere Radius of Cube given Volume, you need Volume of Cube (V). With our tool, you need to enter the respective value for Volume 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 Volume 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 = Face Perimeter of Cube/8
  • 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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