Circumscribed Cylinder Radius of Cube given Lateral Surface Area Calculator

✖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.ⓘ Lateral Surface Area of Cube [LSA]

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✖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.ⓘ Circumscribed Cylinder Radius of Cube given Lateral Surface Area [r_i(Cylinder)]

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Formula

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Circumscribed Cylinder Radius of Cube given Lateral Surface Area

Formula

`"r"_{"i(Cylinder)"} = sqrt("LSA"/8)`

Example

`"7.071068m"=sqrt("400m²"/8)`

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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)
r_i(Cylinder) = sqrt(LSA/8)
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.
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

r_i(Cylinder) = sqrt(LSA/8) --> sqrt(400/8)

Evaluating ... ...

r_i(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 00.004 seconds)

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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!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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< 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)
r_i(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 r_i(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 r_i(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.

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