Total Surface Area 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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✖Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.ⓘ Total Surface Area of Cuboctahedron given Surface to Volume Ratio [TSA]

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Total Surface Area of Cuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2
TSA = 2*(3+sqrt(3))*((18+(6*sqrt(3)))/(5*sqrt(2)*R_A/V))^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 Cuboctahedron - (Measured in Square Meter) - Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces 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

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

Evaluating ... ...

TSA = 953.653718043597

STEP 3: Convert Result to Output's Unit

953.653718043597 Square Meter --> No Conversion Required

FINAL ANSWER

953.653718043597 ≈ 953.6537 Square Meter <-- Total Surface Area of Cuboctahedron

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Cuboctahedron Calculators

Total Surface Area of Cuboctahedron given Lateral Surface Area

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

Total Surface Area of Cuboctahedron given Midsphere Radius

LaTeX Go Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2

Total Surface Area of Cuboctahedron given Circumsphere Radius

LaTeX Go Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2

Total Surface Area of Cuboctahedron

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

Total Surface Area of Cuboctahedron given Surface to Volume Ratio Formula

LaTeX Go

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

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 Total Surface Area of Cuboctahedron given Surface to Volume Ratio?

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

How to calculate Total Surface Area of Cuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area 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 Total Surface Area of Cuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 953.6537 = 2*(3+sqrt(3))*((18+(6*sqrt(3)))/(5*sqrt(2)*0.4))^2.

FAQ

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

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

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

The Total Surface Area of Cuboctahedron given Surface to Volume Ratio formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using surface to volume ratio of Cuboctahedron is calculated using Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2. To calculate Total Surface Area 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 Total Surface Area of Cuboctahedron?

In this formula, Total Surface Area 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 -

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

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