Edge Length 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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✖Edge Length of Truncated Cuboctahedron is the length of any edge of the Truncated Cuboctahedron.ⓘ Edge Length of Truncated Cuboctahedron given Volume [l_e]

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Edge Length of Truncated Cuboctahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Truncated Cuboctahedron = (Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
l_e = (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

Edge Length of Truncated Cuboctahedron - (Measured in Meter) - Edge Length of Truncated Cuboctahedron is the length of any edge of the Truncated Cuboctahedron.
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

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

Evaluating ... ...

l_e = 10.0160042757175

STEP 3: Convert Result to Output's Unit

10.0160042757175 Meter --> No Conversion Required

FINAL ANSWER

10.0160042757175 ≈ 10.016 Meter <-- Edge Length of Truncated Cuboctahedron

(Calculation completed in 00.020 seconds)

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< Edge Length of Truncated Cuboctahedron Calculators

Edge Length of Truncated Cuboctahedron given Total Surface Area

LaTeX Go Edge Length of Truncated Cuboctahedron = sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))

Edge Length of Truncated Cuboctahedron given Circumsphere Radius

LaTeX Go Edge Length of Truncated Cuboctahedron = (2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2))))

Edge Length of Truncated Cuboctahedron given Midsphere Radius

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

Edge Length of Truncated Cuboctahedron given Volume

LaTeX Go Edge Length of Truncated Cuboctahedron = (Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)

Edge Length of Truncated Cuboctahedron given Volume Formula

LaTeX Go

Edge Length of Truncated Cuboctahedron = (Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
l_e = (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 Edge Length of Truncated Cuboctahedron given Volume?

Edge Length of Truncated Cuboctahedron given Volume calculator uses Edge Length of Truncated Cuboctahedron = (Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3) to calculate the Edge Length of Truncated Cuboctahedron, Edge Length of Truncated Cuboctahedron given Volume formula is defined as the length of any edge of the Truncated Cuboctahedron, and calculated using the volume of the Truncated Cuboctahedron. Edge Length of Truncated Cuboctahedron is denoted by l_e symbol.

How to calculate Edge Length of Truncated Cuboctahedron given Volume using this online calculator? To use this online calculator for Edge Length of Truncated Cuboctahedron given Volume, enter Volume of Truncated Cuboctahedron (V) and hit the calculate button. Here is how the Edge Length of Truncated Cuboctahedron given Volume calculation can be explained with given input values -> 10.016 = (42000/(2*(11+(7*sqrt(2)))))^(1/3).

FAQ

What is Edge Length of Truncated Cuboctahedron given Volume?

Edge Length of Truncated Cuboctahedron given Volume formula is defined as the length of any edge of the Truncated Cuboctahedron, and calculated using the volume of the Truncated Cuboctahedron and is represented as l_e = (V/(2*(11+(7*sqrt(2)))))^(1/3) or Edge Length of Truncated Cuboctahedron = (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 Edge Length of Truncated Cuboctahedron given Volume?

Edge Length of Truncated Cuboctahedron given Volume formula is defined as the length of any edge of the Truncated Cuboctahedron, and calculated using the volume of the Truncated Cuboctahedron is calculated using Edge Length of Truncated Cuboctahedron = (Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3). To calculate Edge Length 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 Edge Length of Truncated Cuboctahedron?

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

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

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