Volume of Cuboctahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.ⓘ Surface to Volume Ratio of Cuboctahedron [R_A/V]

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✖Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.ⓘ Volume of Cuboctahedron given Surface to Volume Ratio [V]

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Volume of Cuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^3
V = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*R_A/V))^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 Cuboctahedron - (Measured in Cubic Meter) - Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.
Surface to Volume Ratio of Cuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Cuboctahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*R_A/V))^3 --> 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*0.4))^3

Evaluating ... ...

V = 2384.13429510899

STEP 3: Convert Result to Output's Unit

2384.13429510899 Cubic Meter --> No Conversion Required

FINAL ANSWER

2384.13429510899 ≈ 2384.134 Cubic Meter <-- Volume of Cuboctahedron

(Calculation completed in 00.020 seconds)

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< Volume of Cuboctahedron Calculators

Volume of Cuboctahedron given Lateral Surface Area

LaTeX Go Volume of Cuboctahedron = 5*sqrt(2)/3*(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))^(3/2)

Volume of Cuboctahedron given Midsphere Radius

LaTeX Go Volume of Cuboctahedron = 5*sqrt(2)/3*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^3

Volume of Cuboctahedron given Circumsphere Radius

LaTeX Go Volume of Cuboctahedron = 5*sqrt(2)/3*Circumsphere Radius of Cuboctahedron^3

Volume of Cuboctahedron

LaTeX Go Volume of Cuboctahedron = 5*sqrt(2)/3*Edge Length of Cuboctahedron^3

Volume of Cuboctahedron given Surface to Volume Ratio Formula

LaTeX Go

Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^3
V = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*R_A/V))^3

What is a Cuboctahedron?

A Cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is the only radially equilateral convex polyhedron.

How to Calculate Volume of Cuboctahedron given Surface to Volume Ratio?

Volume of Cuboctahedron given Surface to Volume Ratio calculator uses Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^3 to calculate the Volume of Cuboctahedron, The Volume of Cuboctahedron given Surface to Volume Ratio formula is defined as the amount of three-dimensional space enclosed by the surface of the Cuboctahedron, calculated using the surface to volume ratio of the Cuboctahedron. Volume of Cuboctahedron is denoted by V symbol.

How to calculate Volume of Cuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Cuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Cuboctahedron (R_A/V) and hit the calculate button. Here is how the Volume of Cuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 2384.134 = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*0.4))^3.

FAQ

What is Volume of Cuboctahedron given Surface to Volume Ratio?

The Volume of Cuboctahedron given Surface to Volume Ratio formula is defined as the amount of three-dimensional space enclosed by the surface of the Cuboctahedron, calculated using the surface to volume ratio of the Cuboctahedron and is represented as V = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*R_A/V))^3 or Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^3. Surface to Volume Ratio of Cuboctahedron is the fraction of the surface area to the volume of the Cuboctahedron.

How to calculate Volume of Cuboctahedron given Surface to Volume Ratio?

The Volume of Cuboctahedron given Surface to Volume Ratio formula is defined as the amount of three-dimensional space enclosed by the surface of the Cuboctahedron, calculated using the surface to volume ratio of the Cuboctahedron is calculated using Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^3. To calculate Volume of Cuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Cuboctahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of 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 Cuboctahedron?

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

Volume of Cuboctahedron = 5*sqrt(2)/3*Edge Length of Cuboctahedron^3
Volume of Cuboctahedron = 5*sqrt(2)/3*Circumsphere Radius of Cuboctahedron^3
Volume of Cuboctahedron = 5*sqrt(2)/3*(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))^(3/2)

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