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

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Inscribed 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)/4
r_i(Cylinder) = sqrt(LSA)/4
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)/4 --> sqrt(400)/4

Evaluating ... ...

r_i(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)

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Inscribed Cylinder Radius of Cube given Lateral Surface Area Formula

LaTeX Go

Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube)/4
r_i(Cylinder) = sqrt(LSA)/4

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 Lateral Surface Area?

Inscribed Cylinder Radius of Cube given Lateral Surface Area calculator uses Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube)/4 to calculate the Inscribed Cylinder Radius of Cube, The Inscribed Cylinder Radius of Cube given Lateral 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 lateral surface area of Cube. Inscribed Cylinder Radius of Cube is denoted by r_i(Cylinder) symbol.

How to calculate Inscribed Cylinder Radius of Cube given Lateral Surface Area using this online calculator? To use this online calculator for Inscribed Cylinder Radius of Cube given Lateral Surface Area, enter Lateral Surface Area of Cube (LSA) and hit the calculate button. Here is how the Inscribed Cylinder Radius of Cube given Lateral Surface Area calculation can be explained with given input values -> 5 = sqrt(400)/4.

FAQ

What is Inscribed Cylinder Radius of Cube given Lateral Surface Area?

The Inscribed Cylinder Radius of Cube given Lateral 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 lateral surface area of Cube and is represented as r_i(Cylinder) = sqrt(LSA)/4 or Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube)/4. 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 Inscribed Cylinder Radius of Cube given Lateral Surface Area?

The Inscribed Cylinder Radius of Cube given Lateral 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 lateral surface area of Cube is calculated using Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube)/4. To calculate Inscribed 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.

How many ways are there to calculate Inscribed Cylinder Radius of Cube?

In this formula, Inscribed Cylinder Radius of Cube uses Lateral Surface Area of Cube. We can use 3 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

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