Total Surface Area 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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✖Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.ⓘ Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio [TSA]

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Formula

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Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio

Formula

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

Example

`"1446.958m²"=2*(9+sqrt(3))*((3*(9+sqrt(3)))/("0.3m⁻¹"*(6+(5*sqrt(2)))))^2`

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Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^2
TSA = 2*(9+sqrt(3))*((3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2)))))^2
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

Total Surface Area of Rhombicuboctahedron - (Measured in Square Meter) - Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire 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

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

Evaluating ... ...

TSA = 1446.95831644392

STEP 3: Convert Result to Output's Unit

1446.95831644392 Square Meter --> No Conversion Required

FINAL ANSWER

1446.95831644392 ≈ 1446.958 Square Meter <-- Total Surface Area of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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< 5 Total Surface Area of Rhombicuboctahedron Calculators

Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio

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

Total Surface Area of Rhombicuboctahedron given Circumsphere Radius

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

Total Surface Area of Rhombicuboctahedron given Midsphere Radius

Go Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^2

Total Surface Area of Rhombicuboctahedron given Volume

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

Total Surface Area of Rhombicuboctahedron

Go Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*Edge Length of Rhombicuboctahedron^2

Total Surface Area 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 Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio?

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

How to calculate Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area 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 Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 1446.958 = 2*(9+sqrt(3))*((3*(9+sqrt(3)))/(0.3*(6+(5*sqrt(2)))))^2.

FAQ

What is Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio?

Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron, and calculated using the surface to volume ratio of the Rhombicuboctahedron and is represented as TSA = 2*(9+sqrt(3))*((3*(9+sqrt(3)))/(R_A/V*(6+(5*sqrt(2)))))^2 or Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^2. 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 Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio?

Total Surface Area of Rhombicuboctahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron, and calculated using the surface to volume ratio of the Rhombicuboctahedron is calculated using Total Surface Area of Rhombicuboctahedron = 2*(9+sqrt(3))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^2. To calculate Total Surface Area 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 Total Surface Area of Rhombicuboctahedron?

In this formula, Total Surface Area 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 -

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

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