Volume of Truncated Cuboctahedron given Midsphere Radius Calculator

✖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 [r_m]

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

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Volume of Truncated Cuboctahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Truncated Cuboctahedron: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2*(11+(7*sqrt(2)))*((2*r_m)/(sqrt(12+(6*sqrt(2)))))^3 --> 2*(11+(7*sqrt(2)))*((2*22)/(sqrt(12+(6*sqrt(2)))))^3

Evaluating ... ...

V = 38402.6253792397

STEP 3: Convert Result to Output's Unit

38402.6253792397 Cubic Meter --> No Conversion Required

FINAL ANSWER

38402.6253792397 ≈ 38402.63 Cubic Meter <-- Volume of Truncated Cuboctahedron

(Calculation completed in 00.020 seconds)

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< Volume of Truncated Cuboctahedron Calculators

Volume of Truncated Cuboctahedron given Total Surface Area

LaTeX Go Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*(sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3)))))^3

Volume of Truncated Cuboctahedron given Circumsphere Radius

LaTeX Go Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*((2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2)))))^3

Volume of Truncated Cuboctahedron given Midsphere Radius

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

Volume of Truncated Cuboctahedron

LaTeX Go Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*Edge Length of Truncated Cuboctahedron^3

Volume of Truncated Cuboctahedron given Midsphere Radius Formula

LaTeX Go

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

Volume of Truncated Cuboctahedron given Midsphere Radius calculator uses Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^3 to calculate the Volume of Truncated Cuboctahedron, Volume of Truncated Cuboctahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron. Volume of Truncated Cuboctahedron is denoted by V symbol.

How to calculate Volume of Truncated Cuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Truncated Cuboctahedron given Midsphere Radius, enter Midsphere Radius of Truncated Cuboctahedron (r_m) and hit the calculate button. Here is how the Volume of Truncated Cuboctahedron given Midsphere Radius calculation can be explained with given input values -> 38402.63 = 2*(11+(7*sqrt(2)))*((2*22)/(sqrt(12+(6*sqrt(2)))))^3.

FAQ

What is Volume of Truncated Cuboctahedron given Midsphere Radius?

Volume of Truncated Cuboctahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron and is represented as V = 2*(11+(7*sqrt(2)))*((2*r_m)/(sqrt(12+(6*sqrt(2)))))^3 or Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^3. 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.

How to calculate Volume of Truncated Cuboctahedron given Midsphere Radius?

Volume of Truncated Cuboctahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Cuboctahedron, and calculated using the midsphere radius of the Truncated Cuboctahedron is calculated using Volume of Truncated Cuboctahedron = 2*(11+(7*sqrt(2)))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^3. To calculate Volume of Truncated Cuboctahedron given Midsphere Radius, you need Midsphere Radius of Truncated Cuboctahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius 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 Volume of Truncated Cuboctahedron?

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

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

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