Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area Calculator

✖Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.ⓘ Lateral Surface Area of Cuboctahedron [LSA]

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✖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 given Lateral Surface Area [R_A/V]

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Formula

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Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area

Formula

`"R"_{"A/V"} = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt("LSA"/((2*sqrt(3))+4)))`

Example

`"0.400566m⁻¹"=(18+(6*sqrt(3)))/(5*sqrt(2)*sqrt("750m"/((2*sqrt(3))+4)))`

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Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)))
R_A/V = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(LSA/((2*sqrt(3))+4)))
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

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.
Lateral Surface Area of Cuboctahedron - (Measured in Meter) - Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Cuboctahedron: 750 Meter --> 750 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(LSA/((2*sqrt(3))+4))) --> (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(750/((2*sqrt(3))+4)))

Evaluating ... ...

R_A/V = 0.400565726457936

STEP 3: Convert Result to Output's Unit

0.400565726457936 1 per Meter --> No Conversion Required

FINAL ANSWER

0.400565726457936 ≈ 0.400566 1 per Meter <-- Surface to Volume Ratio of Cuboctahedron

(Calculation completed in 00.004 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 7 Surface to Volume Ratio of Cuboctahedron Calculators

Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area

Go Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)))

Surface to Volume Ratio of Cuboctahedron given Total Surface Area

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

Surface to Volume Ratio of Cuboctahedron given Volume

Go Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3))

Surface to Volume Ratio of Cuboctahedron given Midsphere Radius

Go Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*2/sqrt(3)*Midsphere Radius of Cuboctahedron)

Surface to Volume Ratio of Cuboctahedron given Circumsphere Radius

Go Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Cuboctahedron)

Surface to Volume Ratio of Cuboctahedron given Perimeter

Go Surface to Volume Ratio of Cuboctahedron = 24*(18+(6*sqrt(3)))/(5*sqrt(2)*Perimeter of Cuboctahedron)

Surface to Volume Ratio of Cuboctahedron

Go Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Edge Length of Cuboctahedron)

Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area Formula

Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)))
R_A/V = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(LSA/((2*sqrt(3))+4)))

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 Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area?

Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area calculator uses Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))) to calculate the Surface to Volume Ratio of Cuboctahedron, The Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area formula is defined as the fraction of the surface area to the volume of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron. Surface to Volume Ratio of Cuboctahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area, enter Lateral Surface Area of Cuboctahedron (LSA) and hit the calculate button. Here is how the Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area calculation can be explained with given input values -> 0.400566 = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(750/((2*sqrt(3))+4))).

FAQ

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

The Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area formula is defined as the fraction of the surface area to the volume of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron and is represented as R_A/V = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(LSA/((2*sqrt(3))+4))) or Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))). Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.

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

The Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area formula is defined as the fraction of the surface area to the volume of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron is calculated using Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))). To calculate Surface to Volume Ratio of Cuboctahedron given Lateral Surface Area, you need Lateral Surface Area of Cuboctahedron (LSA). With our tool, you need to enter the respective value for Lateral Surface Area 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 Surface to Volume Ratio of Cuboctahedron?

In this formula, Surface to Volume Ratio of Cuboctahedron uses Lateral Surface Area of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Edge Length of Cuboctahedron)
Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Cuboctahedron)
Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*2/sqrt(3)*Midsphere Radius of Cuboctahedron)
Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))))
Surface to Volume Ratio of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3))
Surface to Volume Ratio of Cuboctahedron = 24*(18+(6*sqrt(3)))/(5*sqrt(2)*Perimeter of Cuboctahedron)

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