Volume of Rhombicuboctahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.ⓘ Surface to Volume Ratio of Rhombicuboctahedron [R_A/V]

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✖Volume of Rhombicuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron.ⓘ Volume of Rhombicuboctahedron given Surface to Volume Ratio [V]

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Volume of Rhombicuboctahedron given Surface to Volume Ratio

Formula

`"V" = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/("R"_{"A/V"}*(6+(5*sqrt(2)))))^3`

Example

`"4823.194m³"=2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/("0.3m⁻¹"*(6+(5*sqrt(2)))))^3`

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Volume of Rhombicuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3
V = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(R_A/V*(6+(5*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 Rhombicuboctahedron - (Measured in Cubic Meter) - Volume of Rhombicuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron.
Surface to Volume Ratio of Rhombicuboctahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Rhombicuboctahedron: 0.3 1 per Meter --> 0.3 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2)))))^3 --> 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2)))))^3

Evaluating ... ...

V = 4823.1943881464

STEP 3: Convert Result to Output's Unit

4823.1943881464 Cubic Meter --> No Conversion Required

FINAL ANSWER

4823.1943881464 ≈ 4823.194 Cubic Meter <-- Volume of Rhombicuboctahedron

(Calculation completed in 00.008 seconds)

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< 5 Volume of Rhombicuboctahedron Calculators

Volume of Rhombicuboctahedron given Surface to Volume Ratio

Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3

Volume of Rhombicuboctahedron given Circumsphere Radius

Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3

Volume of Rhombicuboctahedron given Total Surface Area

Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3

Volume of Rhombicuboctahedron given Midsphere Radius

Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3

Volume of Rhombicuboctahedron

Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3

Volume of Rhombicuboctahedron given Surface to Volume Ratio Formula

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

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

Volume of Rhombicuboctahedron given Surface to Volume Ratio calculator uses Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3 to calculate the Volume of Rhombicuboctahedron, Volume of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the surface to volume ratio of the Rhombicuboctahedron. Volume of Rhombicuboctahedron is denoted by V symbol.

How to calculate Volume of Rhombicuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Rhombicuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Rhombicuboctahedron (R_A/V) and hit the calculate button. Here is how the Volume of Rhombicuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 4823.194 = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2)))))^3.

FAQ

What is Volume of Rhombicuboctahedron given Surface to Volume Ratio?

Volume of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the surface to volume ratio of the Rhombicuboctahedron and is represented as V = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2)))))^3 or Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3. Surface to Volume Ratio of Rhombicuboctahedron is the numerical ratio of the total surface area of a Rhombicuboctahedron to the volume of the Rhombicuboctahedron.

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

Volume of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the surface to volume ratio of the Rhombicuboctahedron is calculated using Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3. To calculate Volume of Rhombicuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Rhombicuboctahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Rhombicuboctahedron 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 Rhombicuboctahedron?

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

Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3
Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3
Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3
Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3

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