Volume of Cube given Midsphere Radius Calculator

✖Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.ⓘ Midsphere Radius of Cube [r_m]

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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 Midsphere Radius [V]

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Formula

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Volume of Cube given Midsphere Radius

Formula

`"V" = (sqrt(2)*"r"_{"m"})^(3)`

Example

`"970.1505m³"=(sqrt(2)*"7m")^(3)`

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Volume of Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cube = (sqrt(2)*Midsphere Radius of Cube)^(3)
V = (sqrt(2)*r_m)^(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.
Midsphere Radius of Cube - (Measured in Meter) - Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Cube: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (sqrt(2)*r_m)^(3) --> (sqrt(2)*7)^(3)

Evaluating ... ...

V = 970.150503787943

STEP 3: Convert Result to Output's Unit

970.150503787943 Cubic Meter --> No Conversion Required

FINAL ANSWER

970.150503787943 ≈ 970.1505 Cubic Meter <-- Volume 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 Volume of Cube Calculators

Volume of Cube given Circumscribed Cylinder Radius

Go Volume of Cube = (sqrt(2)*Circumscribed Cylinder Radius of Cube)^(3)

Volume of Cube given Circumsphere Radius

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

Volume of Cube given Midsphere Radius

Go Volume of Cube = (sqrt(2)*Midsphere Radius of Cube)^(3)

Volume of Cube given Face Diagonal

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

Volume of Cube given Space Diagonal

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

Volume of Cube given Inscribed Cylinder Radius

Go Volume of Cube = (2*Inscribed Cylinder Radius of Cube)^(3)

Volume of Cube given Surface to Volume Ratio

Go Volume of Cube = (6/Surface to Volume Ratio of Cube)^(3)

Volume of Cube given Lateral Surface Area

Go Volume of Cube = (Lateral Surface Area of Cube/4)^(3/2)

Volume of Cube given Total Surface Area

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

Volume of Cube given Insphere Radius

Go Volume of Cube = (2*Insphere Radius of Cube)^(3)

Volume of Cube given Face Perimeter

Go Volume of Cube = (Face Perimeter of Cube/4)^(3)

Volume of Cube given Perimeter

Go Volume of Cube = (Perimeter of Cube/12)^(3)

Volume of Cube given Face Area

Go Volume of Cube = Face Area of Cube^(3/2)

Volume of Cube

Go Volume of Cube = Edge Length of Cube^3

Volume of Cube given Midsphere Radius Formula

Volume of Cube = (sqrt(2)*Midsphere Radius of Cube)^(3)
V = (sqrt(2)*r_m)^(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 Midsphere Radius?

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

How to calculate Volume of Cube given Midsphere Radius using this online calculator? To use this online calculator for Volume of Cube given Midsphere Radius, enter Midsphere Radius of Cube (r_m) and hit the calculate button. Here is how the Volume of Cube given Midsphere Radius calculation can be explained with given input values -> 970.1505 = (sqrt(2)*7)^(3).

FAQ

What is Volume of Cube given Midsphere Radius?

The Volume of Cube given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the midsphere radius of the Cube and is represented as V = (sqrt(2)*r_m)^(3) or Volume of Cube = (sqrt(2)*Midsphere Radius of Cube)^(3). Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

How to calculate Volume of Cube given Midsphere Radius?

The Volume of Cube given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the midsphere radius of the Cube is calculated using Volume of Cube = (sqrt(2)*Midsphere Radius of Cube)^(3). To calculate Volume of Cube given Midsphere Radius, you need Midsphere Radius of Cube (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere Radius of Cube. We can use 13 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
Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3)
Volume of Cube = Face Area of Cube^(3/2)
Volume of Cube = (Face Perimeter of Cube/4)^(3)
Volume of Cube = (Lateral Surface Area of Cube/4)^(3/2)
Volume of Cube = (2*Insphere Radius of Cube)^(3)
Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3)
Volume of Cube = (sqrt(2)*Circumscribed Cylinder Radius of Cube)^(3)
Volume of Cube = (6/Surface to Volume Ratio of Cube)^(3)
Volume of Cube = (2*Inscribed Cylinder Radius of Cube)^(3)
Volume of Cube = (Perimeter of Cube/12)^(3)

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