## Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2
LSA = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*RA/V))^2
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
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.
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
LSA = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*RA/V))^2 --> ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*0.4))^2
Evaluating ... ...
LSA = 752.122974434877
STEP 3: Convert Result to Output's Unit
752.122974434877 Meter --> No Conversion Required
752.122974434877 752.123 Meter <-- Lateral Surface Area of Cuboctahedron
(Calculation completed in 00.003 seconds)
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## < 7 Lateral Surface Area of Cuboctahedron Calculators

Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2
Lateral Surface Area of Cuboctahedron given Total Surface Area
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))
Lateral Surface Area of Cuboctahedron given Midsphere Radius
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2
Lateral Surface Area of Cuboctahedron given Volume
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3)
Lateral Surface Area of Cuboctahedron given Circumsphere Radius
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2
Lateral Surface Area of Cuboctahedron
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Edge Length of Cuboctahedron^2
Lateral Surface Area of Cuboctahedron given Perimeter
Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576

## Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio Formula

Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2
LSA = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*RA/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 Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio?

Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio calculator uses Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2 to calculate the Lateral Surface Area of Cuboctahedron, The Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron, calculated using the surface to volume ratio of Cuboctahedron. Lateral Surface Area of Cuboctahedron is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Cuboctahedron (RA/V) and hit the calculate button. Here is how the Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio calculation can be explained with given input values -> 752.123 = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*0.4))^2.

### FAQ

What is Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio?
The Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron, calculated using the surface to volume ratio of Cuboctahedron and is represented as LSA = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*RA/V))^2 or Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((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 Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio?
The Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron, calculated using the surface to volume ratio of Cuboctahedron is calculated using Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2. To calculate Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Cuboctahedron (RA/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 Lateral Surface Area of Cuboctahedron?
In this formula, Lateral Surface Area of Cuboctahedron uses Surface to Volume Ratio of Cuboctahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -
• Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Edge Length of Cuboctahedron^2
• Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2
• Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2
• Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))
• Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3) Let Others Know