Circumscribed Cylinder Radius of Cube given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8)
ri(Cylinder) = sqrt(LSA/8)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, 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.
Lateral Surface Area of Cube - (Measured in Square Meter) - Lateral Surface Area of Cube is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cube: 400 Square Meter --> 400 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri(Cylinder) = sqrt(LSA/8) --> sqrt(400/8)
Evaluating ... ...
ri(Cylinder) = 7.07106781186548
STEP 3: Convert Result to Output's Unit
7.07106781186548 Meter --> No Conversion Required
FINAL ANSWER
7.07106781186548 7.071068 Meter <-- Inscribed Cylinder Radius of Cube
(Calculation completed in 00.003 seconds)

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 700+ more calculators!
Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
Nikita Kumari has verified this Calculator and 400+ more calculators!

14 Circumscribed Cylinder Radius of Cube Calculators

Circumscribed Cylinder Radius of Cube given Total Surface Area
Go Circumscribed Cylinder Radius of Cube = 1/sqrt(2)*sqrt(Total Surface Area of Cube/6)
Circumscribed Cylinder Radius of Cube given Surface to Volume Ratio
Go Circumscribed Cylinder Radius of Cube = (3*sqrt(2))/Surface to Volume Ratio of Cube
Circumscribed Cylinder Radius of Cube given Inscribed Cylinder Radius
Go Circumscribed Cylinder Radius of Cube = sqrt(2)*Inscribed Cylinder Radius of Cube
Circumscribed Cylinder Radius of Cube given Circumsphere Radius
Go Circumscribed Cylinder Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube
Circumscribed Cylinder Radius of Cube given Face Perimeter
Go Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))
Circumscribed Cylinder Radius of Cube given Lateral Surface Area
Go Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8)
Circumscribed Cylinder Radius of Cube given Insphere Radius
Go Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube
Circumscribed Cylinder Radius of Cube given Space Diagonal
Go Circumscribed Cylinder Radius of Cube = Space Diagonal of Cube/sqrt(6)
Circumscribed Cylinder Radius of Cube given Perimeter
Go Circumscribed Cylinder Radius of Cube = Perimeter of Cube/(12*sqrt(2))
Circumscribed Cylinder Radius of Cube given Volume
Go Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2)
Circumscribed Cylinder Radius of Cube
Go Circumscribed Cylinder Radius of Cube = Edge Length of Cube/sqrt(2)
Circumscribed Cylinder Radius of Cube given Face Area
Go Circumscribed Cylinder Radius of Cube = sqrt(Face Area of Cube/2)
Circumscribed Cylinder Radius of Cube given Midsphere Radius
Go Circumscribed Cylinder Radius of Cube = 1*Midsphere Radius of Cube
Circumscribed Cylinder Radius of Cube given Face Diagonal
Go Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2

Circumscribed Cylinder Radius of Cube given Lateral Surface Area Formula

Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8)
ri(Cylinder) = sqrt(LSA/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 Circumscribed Cylinder Radius of Cube given Lateral Surface Area?

Circumscribed Cylinder Radius of Cube given Lateral Surface Area calculator uses Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8) to calculate the Inscribed Cylinder Radius of Cube, The Circumscribed Cylinder Radius of Cube given Lateral Surface Area formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the lateral surface area of the Cube. Inscribed Cylinder Radius of Cube is denoted by ri(Cylinder) symbol.

How to calculate Circumscribed Cylinder Radius of Cube given Lateral Surface Area using this online calculator? To use this online calculator for Circumscribed Cylinder Radius of Cube given Lateral Surface Area, enter Lateral Surface Area of Cube (LSA) and hit the calculate button. Here is how the Circumscribed Cylinder Radius of Cube given Lateral Surface Area calculation can be explained with given input values -> 7.071068 = sqrt(400/8).

FAQ

What is Circumscribed Cylinder Radius of Cube given Lateral Surface Area?
The Circumscribed Cylinder Radius of Cube given Lateral Surface Area formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the lateral surface area of the Cube and is represented as ri(Cylinder) = sqrt(LSA/8) or Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8). Lateral Surface Area of Cube is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube.
How to calculate Circumscribed Cylinder Radius of Cube given Lateral Surface Area?
The Circumscribed Cylinder Radius of Cube given Lateral Surface Area formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the lateral surface area of the Cube is calculated using Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8). To calculate Circumscribed Cylinder Radius of Cube given Lateral Surface Area, you need Lateral Surface Area of Cube (LSA). With our tool, you need to enter the respective value for Lateral 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.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!