Insphere Radius of Cube given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Insphere Radius of Cube = 1/2*sqrt(Total Surface Area of Cube/6)
ri = 1/2*sqrt(TSA/6)
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
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.
Total Surface Area of Cube - (Measured in Square Meter) - Total Surface Area of Cube is the quantity of plane enclosed by the entire surface of the Cube.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Cube: 600 Square Meter --> 600 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = 1/2*sqrt(TSA/6) --> 1/2*sqrt(600/6)
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 00.004 seconds)

Credits

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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!
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Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
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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 Total Surface Area Formula

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

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 Total Surface Area?

Insphere Radius of Cube given Total Surface Area calculator uses Insphere Radius of Cube = 1/2*sqrt(Total Surface Area of Cube/6) to calculate the Insphere Radius of Cube, The Insphere Radius of Cube given Total Surface Area 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 total surface area of the Cube. Insphere Radius of Cube is denoted by ri symbol.

How to calculate Insphere Radius of Cube given Total Surface Area using this online calculator? To use this online calculator for Insphere Radius of Cube given Total Surface Area, enter Total Surface Area of Cube (TSA) and hit the calculate button. Here is how the Insphere Radius of Cube given Total Surface Area calculation can be explained with given input values -> 5 = 1/2*sqrt(600/6).

FAQ

What is Insphere Radius of Cube given Total Surface Area?
The Insphere Radius of Cube given Total Surface Area 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 total surface area of the Cube and is represented as ri = 1/2*sqrt(TSA/6) or Insphere Radius of Cube = 1/2*sqrt(Total Surface Area of Cube/6). Total Surface Area of Cube is the quantity of plane enclosed by the entire surface of the Cube.
How to calculate Insphere Radius of Cube given Total Surface Area?
The Insphere Radius of Cube given Total Surface Area 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 total surface area of the Cube is calculated using Insphere Radius of Cube = 1/2*sqrt(Total Surface Area of Cube/6). To calculate Insphere Radius of Cube given Total Surface Area, you need Total Surface Area of Cube (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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 = 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 = 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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