Space Diagonal of Cube given Circumscribed Cylinder Radius Calculator

✖Circumscribed Cylinder Radius of Cube is the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder.ⓘ Circumscribed Cylinder Radius of Cube [r_c(Cylinder)]

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✖Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.ⓘ Space Diagonal of Cube given Circumscribed Cylinder Radius [d_Space]

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Space Diagonal of Cube given Circumscribed Cylinder Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube
d_Space = sqrt(6)*r_c(Cylinder)
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

Space Diagonal of Cube - (Measured in Meter) - Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.
Circumscribed Cylinder Radius of Cube - (Measured in Meter) - Circumscribed Cylinder Radius of Cube is the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder.

STEP 1: Convert Input(s) to Base Unit

Circumscribed Cylinder Radius of Cube: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = sqrt(6)*r_c(Cylinder) --> sqrt(6)*7

Evaluating ... ...

d_Space = 17.1464281994822

STEP 3: Convert Result to Output's Unit

17.1464281994822 Meter --> No Conversion Required

FINAL ANSWER

17.1464281994822 ≈ 17.14643 Meter <-- Space Diagonal 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

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< Space Diagonal of Cube Calculators

Space Diagonal of Cube given Lateral Surface Area

LaTeX Go Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube)

Space Diagonal of Cube given Total Surface Area

LaTeX Go Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)

Space Diagonal of Cube given Face Diagonal

LaTeX Go Space Diagonal of Cube = sqrt(3/2)*Face Diagonal of Cube

Space Diagonal of Cube

LaTeX Go Space Diagonal of Cube = sqrt(3)*Edge Length of Cube

Space Diagonal of Cube given Circumscribed Cylinder Radius Formula

LaTeX Go

Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube
d_Space = sqrt(6)*r_c(Cylinder)

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 Space Diagonal of Cube given Circumscribed Cylinder Radius?

Space Diagonal of Cube given Circumscribed Cylinder Radius calculator uses Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube to calculate the Space Diagonal of Cube, The Space Diagonal of Cube given Circumscribed Cylinder Radius formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the circumscribed cylinder radius of the Cube. Space Diagonal of Cube is denoted by d_Space symbol.

How to calculate Space Diagonal of Cube given Circumscribed Cylinder Radius using this online calculator? To use this online calculator for Space Diagonal of Cube given Circumscribed Cylinder Radius, enter Circumscribed Cylinder Radius of Cube (r_c(Cylinder)) and hit the calculate button. Here is how the Space Diagonal of Cube given Circumscribed Cylinder Radius calculation can be explained with given input values -> 17.14643 = sqrt(6)*7.

FAQ

What is Space Diagonal of Cube given Circumscribed Cylinder Radius?

The Space Diagonal of Cube given Circumscribed Cylinder Radius formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the circumscribed cylinder radius of the Cube and is represented as d_Space = sqrt(6)*r_c(Cylinder) or Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube. Circumscribed Cylinder Radius of Cube is the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder.

How to calculate Space Diagonal of Cube given Circumscribed Cylinder Radius?

The Space Diagonal of Cube given Circumscribed Cylinder Radius formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the circumscribed cylinder radius of the Cube is calculated using Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube. To calculate Space Diagonal of Cube given Circumscribed Cylinder Radius, you need Circumscribed Cylinder Radius of Cube (r_c(Cylinder)). With our tool, you need to enter the respective value for Circumscribed Cylinder Radius 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 Space Diagonal of Cube?

In this formula, Space Diagonal of Cube uses Circumscribed Cylinder Radius of Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -

Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)
Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube)
Space Diagonal of Cube = sqrt(3)*Edge Length of Cube

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