Volume of Cube given Circumsphere Radius Calculator

✖Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.ⓘ Circumsphere Radius of Cube [r_c]

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✖Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.ⓘ Volume of Cube given Circumsphere Radius [V]

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Volume of Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3)
V = (2/sqrt(3)*r_c)^(3)
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

Volume of Cube - (Measured in Cubic Meter) - Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.
Circumsphere Radius of Cube - (Measured in Meter) - Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cube: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (2/sqrt(3)*r_c)^(3) --> (2/sqrt(3)*9)^(3)

Evaluating ... ...

V = 1122.36892330463

STEP 3: Convert Result to Output's Unit

1122.36892330463 Cubic Meter --> No Conversion Required

FINAL ANSWER

1122.36892330463 ≈ 1122.369 Cubic Meter <-- Volume of Cube

(Calculation completed in 00.020 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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< Volume of Cube Calculators

Volume of Cube given Face Diagonal

LaTeX Go Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3)

Volume of Cube given Space Diagonal

LaTeX Go Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3

Volume of Cube given Total Surface Area

LaTeX Go Volume of Cube = (Total Surface Area of Cube/6)^(3/2)

Volume of Cube

LaTeX Go Volume of Cube = Edge Length of Cube^3

< Volume of Cube Calculators

Volume of Cube given Circumsphere Radius

LaTeX Go Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3)

Volume of Cube given Space Diagonal

LaTeX Go Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3

Volume of Cube given Total Surface Area

LaTeX Go Volume of Cube = (Total Surface Area of Cube/6)^(3/2)

Volume of Cube

LaTeX Go Volume of Cube = Edge Length of Cube^3

Volume of Cube given Circumsphere Radius Formula

LaTeX Go

Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3)
V = (2/sqrt(3)*r_c)^(3)

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 Volume of Cube given Circumsphere Radius?

Volume of Cube given Circumsphere Radius calculator uses Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3) to calculate the Volume of Cube, The Volume of Cube given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the circumsphere radius of the Cube. Volume of Cube is denoted by V symbol.

How to calculate Volume of Cube given Circumsphere Radius using this online calculator? To use this online calculator for Volume of Cube given Circumsphere Radius, enter Circumsphere Radius of Cube (r_c) and hit the calculate button. Here is how the Volume of Cube given Circumsphere Radius calculation can be explained with given input values -> 1122.369 = (2/sqrt(3)*9)^(3).

FAQ

What is Volume of Cube given Circumsphere Radius?

The Volume of Cube given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the circumsphere radius of the Cube and is represented as V = (2/sqrt(3)*r_c)^(3) or Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3). Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

How to calculate Volume of Cube given Circumsphere Radius?

The Volume of Cube given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the circumsphere radius of the Cube is calculated using Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3). To calculate Volume of Cube given Circumsphere Radius, you need Circumsphere Radius of Cube (r_c). With our tool, you need to enter the respective value for Circumsphere 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 Volume of Cube?

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

Volume of Cube = (Total Surface Area of Cube/6)^(3/2)
Volume of Cube = Edge Length of Cube^3
Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3

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