Midsphere Radius of Truncated Cuboctahedron given Volume Calculator

✖Volume of Truncated Cuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Cuboctahedron.ⓘ Volume of Truncated Cuboctahedron [V]

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

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Formula

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Midsphere Radius of Truncated Cuboctahedron given Volume

Formula

`"r"_{"m"} = sqrt(12+(6*sqrt(2)))/2*("V"/(2*(11+(7*sqrt(2)))))^(1/3)`

Example

`"22.66655m"=sqrt(12+(6*sqrt(2)))/2*("42000m³"/(2*(11+(7*sqrt(2)))))^(1/3)`

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Midsphere Radius of Truncated Cuboctahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
r_m = sqrt(12+(6*sqrt(2)))/2*(V/(2*(11+(7*sqrt(2)))))^(1/3)
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

Midsphere Radius of Truncated Cuboctahedron - (Measured in Meter) - Midsphere Radius of Truncated Cuboctahedron is the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere.
Volume of Truncated Cuboctahedron - (Measured in Cubic Meter) - Volume of Truncated Cuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Truncated Cuboctahedron: 42000 Cubic Meter --> 42000 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(12+(6*sqrt(2)))/2*(V/(2*(11+(7*sqrt(2)))))^(1/3) --> sqrt(12+(6*sqrt(2)))/2*(42000/(2*(11+(7*sqrt(2)))))^(1/3)

Evaluating ... ...

r_m = 22.6665525956442

STEP 3: Convert Result to Output's Unit

22.6665525956442 Meter --> No Conversion Required

FINAL ANSWER

22.6665525956442 ≈ 22.66655 Meter <-- Midsphere Radius of Truncated Cuboctahedron

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 5 Midsphere Radius of Truncated Cuboctahedron Calculators

Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))

Midsphere Radius of Truncated Cuboctahedron given Total Surface Area

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))

Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))*Circumsphere Radius of Truncated Cuboctahedron/(sqrt(13+(6*sqrt(2))))

Midsphere Radius of Truncated Cuboctahedron given Volume

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)

Midsphere Radius of Truncated Cuboctahedron

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron

Midsphere Radius of Truncated Cuboctahedron given Volume Formula

Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
r_m = sqrt(12+(6*sqrt(2)))/2*(V/(2*(11+(7*sqrt(2)))))^(1/3)

What is a Truncated Cuboctahedron?

In geometry, the Truncated Cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 26 faces which include 12 square faces, 8 regular hexagonal faces, 6 regular octagonal faces, 48 vertices and 72 edges. And each vertex are identical in such a way that, at each vertex one square, one hexagon and one octagon joins. Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the Truncated Cuboctahedron is a zonohedron. The Truncated Cuboctahedron can tessellate with the octagonal prism.

How to Calculate Midsphere Radius of Truncated Cuboctahedron given Volume?

Midsphere Radius of Truncated Cuboctahedron given Volume calculator uses Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3) to calculate the Midsphere Radius of Truncated Cuboctahedron, Midsphere Radius of Truncated Cuboctahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere, and calculated using the volume of the Truncated Cuboctahedron. Midsphere Radius of Truncated Cuboctahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Truncated Cuboctahedron given Volume using this online calculator? To use this online calculator for Midsphere Radius of Truncated Cuboctahedron given Volume, enter Volume of Truncated Cuboctahedron (V) and hit the calculate button. Here is how the Midsphere Radius of Truncated Cuboctahedron given Volume calculation can be explained with given input values -> 22.66655 = sqrt(12+(6*sqrt(2)))/2*(42000/(2*(11+(7*sqrt(2)))))^(1/3).

FAQ

What is Midsphere Radius of Truncated Cuboctahedron given Volume?

Midsphere Radius of Truncated Cuboctahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere, and calculated using the volume of the Truncated Cuboctahedron and is represented as r_m = sqrt(12+(6*sqrt(2)))/2*(V/(2*(11+(7*sqrt(2)))))^(1/3) or Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3). Volume of Truncated Cuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Cuboctahedron.

How to calculate Midsphere Radius of Truncated Cuboctahedron given Volume?

Midsphere Radius of Truncated Cuboctahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere, and calculated using the volume of the Truncated Cuboctahedron is calculated using Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3). To calculate Midsphere Radius of Truncated Cuboctahedron given Volume, you need Volume of Truncated Cuboctahedron (V). With our tool, you need to enter the respective value for Volume of Truncated Cuboctahedron 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 Midsphere Radius of Truncated Cuboctahedron?

In this formula, Midsphere Radius of Truncated Cuboctahedron uses Volume of Truncated Cuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron
Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))*Circumsphere Radius of Truncated Cuboctahedron/(sqrt(13+(6*sqrt(2))))
Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))

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