Inscribed Cylinder Radius of Cube given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inscribed Cylinder Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(6))
ri(Cylinder) = sqrt(TSA)/(2*sqrt(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
Inscribed Cylinder Radius of Cube - (Measured in Meter) - Inscribed Cylinder Radius of Cube is the radius of the cylinder that is contained by the Cube in such a way that all the faces of the Cube are just touching the cylinder.
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(Cylinder) = sqrt(TSA)/(2*sqrt(6)) --> sqrt(600)/(2*sqrt(6))
Evaluating ... ...
ri(Cylinder) = 5
STEP 3: Convert Result to Output's Unit
5 Meter --> No Conversion Required
FINAL ANSWER
5 Meter <-- Inscribed Cylinder Radius of Cube
(Calculation completed in 00.020 seconds)

Credits

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Mumbai University (DJSCE), Mumbai
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14 Inscribed Cylinder Radius of Cube Calculators

Inscribed Cylinder Radius of Cube given Total Surface Area
Go Inscribed Cylinder Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(6))
Inscribed Cylinder Radius of Cube given Circumscribed Cylinder Radius
Go Inscribed Cylinder Radius of Cube = Circumscribed Cylinder Radius of Cube/sqrt(2)
Inscribed Cylinder Radius of Cube given Lateral Surface Area
Go Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube)/4
Inscribed Cylinder Radius of Cube given Circumsphere Radius
Go Inscribed Cylinder Radius of Cube = Circumsphere Radius of Cube/sqrt(3)
Inscribed Cylinder Radius of Cube given Space Diagonal
Go Inscribed Cylinder Radius of Cube = Space Diagonal of Cube/(2*sqrt(3))
Inscribed Cylinder Radius of Cube given Face Diagonal
Go Inscribed Cylinder Radius of Cube = Face Diagonal of Cube/(2*sqrt(2))
Inscribed Cylinder Radius of Cube given Midsphere Radius
Go Inscribed Cylinder Radius of Cube = Midsphere Radius of Cube/sqrt(2)
Inscribed Cylinder Radius of Cube given Face Area
Go Inscribed Cylinder Radius of Cube = sqrt(Face Area of Cube)/2
Inscribed Cylinder Radius of Cube given Surface to Volume Ratio
Go Inscribed Cylinder Radius of Cube = 3/Surface to Volume Ratio of Cube
Inscribed Cylinder Radius of Cube given Insphere Radius
Go Inscribed Cylinder Radius of Cube = 1*Insphere Radius of Cube
Inscribed Cylinder Radius of Cube given Face Perimeter
Go Inscribed Cylinder Radius of Cube = Face Perimeter of Cube/8
Inscribed Cylinder Radius of Cube given Volume
Go Inscribed Cylinder Radius of Cube = Volume of Cube^(1/3)/2
Inscribed Cylinder Radius of Cube
Go Inscribed Cylinder Radius of Cube = Edge Length of Cube/2
Inscribed Cylinder Radius of Cube given Perimeter
Go Inscribed Cylinder Radius of Cube = Perimeter of Cube/24

Inscribed Cylinder Radius of Cube given Total Surface Area Formula

Inscribed Cylinder Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(6))
ri(Cylinder) = sqrt(TSA)/(2*sqrt(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 Inscribed Cylinder Radius of Cube given Total Surface Area?

Inscribed Cylinder Radius of Cube given Total Surface Area calculator uses Inscribed Cylinder Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(6)) to calculate the Inscribed Cylinder Radius of Cube, The Inscribed Cylinder Radius of Cube given Total Surface Area formula is defined as the radius of the cylinder that is contained by the Cube in such a way that all the faces of the Cube are just touching the cylinder, and calculated using the total surface area of Cube. Inscribed Cylinder Radius of Cube is denoted by ri(Cylinder) symbol.

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

FAQ

What is Inscribed Cylinder Radius of Cube given Total Surface Area?
The Inscribed Cylinder Radius of Cube given Total Surface Area formula is defined as the radius of the cylinder that is contained by the Cube in such a way that all the faces of the Cube are just touching the cylinder, and calculated using the total surface area of Cube and is represented as ri(Cylinder) = sqrt(TSA)/(2*sqrt(6)) or Inscribed Cylinder Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(6)). Total Surface Area of Cube is the quantity of plane enclosed by the entire surface of the Cube.
How to calculate Inscribed Cylinder Radius of Cube given Total Surface Area?
The Inscribed Cylinder Radius of Cube given Total Surface Area formula is defined as the radius of the cylinder that is contained by the Cube in such a way that all the faces of the Cube are just touching the cylinder, and calculated using the total surface area of Cube is calculated using Inscribed Cylinder Radius of Cube = sqrt(Total Surface Area of Cube)/(2*sqrt(6)). To calculate Inscribed Cylinder 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 Inscribed Cylinder Radius of Cube?
In this formula, Inscribed Cylinder 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 -
  • Inscribed Cylinder Radius of Cube = Edge Length of Cube/2
  • Inscribed Cylinder Radius of Cube = Face Diagonal of Cube/(2*sqrt(2))
  • Inscribed Cylinder Radius of Cube = sqrt(Face Area of Cube)/2
  • Inscribed Cylinder Radius of Cube = Face Perimeter of Cube/8
  • Inscribed Cylinder Radius of Cube = Volume of Cube^(1/3)/2
  • Inscribed Cylinder Radius of Cube = Space Diagonal of Cube/(2*sqrt(3))
  • Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube)/4
  • Inscribed Cylinder Radius of Cube = 1*Insphere Radius of Cube
  • Inscribed Cylinder Radius of Cube = Circumsphere Radius of Cube/sqrt(3)
  • Inscribed Cylinder Radius of Cube = Circumscribed Cylinder Radius of Cube/sqrt(2)
  • Inscribed Cylinder Radius of Cube = Midsphere Radius of Cube/sqrt(2)
  • Inscribed Cylinder Radius of Cube = 3/Surface to Volume Ratio of Cube
  • Inscribed Cylinder Radius of Cube = Perimeter of Cube/24
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