Edge Length 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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✖Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.ⓘ Edge Length of Cuboctahedron given Lateral Surface Area [l_e]

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Formula

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Edge Length of Cuboctahedron given Lateral Surface Area

Formula

`"l"_{"e"} = sqrt("LSA"/((2*sqrt(3))+4))`

Example

`"10.02402m"=sqrt("750m"/((2*sqrt(3))+4))`

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Edge Length of Cuboctahedron given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
l_e = 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

Edge Length of Cuboctahedron - (Measured in Meter) - Edge Length of Cuboctahedron is the length of the edge of the unit cell 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

l_e = sqrt(LSA/((2*sqrt(3))+4)) --> sqrt(750/((2*sqrt(3))+4))

Evaluating ... ...

l_e = 10.0240185136337

STEP 3: Convert Result to Output's Unit

10.0240185136337 Meter --> No Conversion Required

FINAL ANSWER

10.0240185136337 ≈ 10.02402 Meter <-- Edge Length of Cuboctahedron

(Calculation completed in 00.004 seconds)

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Mumbai University (DJSCE), Mumbai

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< 7 Edge Length of Cuboctahedron Calculators

Edge Length of Cuboctahedron given Surface to Volume Ratio

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

Edge Length of Cuboctahedron given Lateral Surface Area

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

Edge Length of Cuboctahedron given Total Surface Area

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

Edge Length of Cuboctahedron given Volume

Go Edge Length of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

Edge Length of Cuboctahedron given Midsphere Radius

Go Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron

Edge Length of Cuboctahedron given Circumsphere Radius

Go Edge Length of Cuboctahedron = 1*Circumsphere Radius of Cuboctahedron

Edge Length of Cuboctahedron given Perimeter

Go Edge Length of Cuboctahedron = Perimeter of Cuboctahedron/24

Edge Length of Cuboctahedron given Lateral Surface Area Formula

Edge Length of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
l_e = 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 Edge Length of Cuboctahedron given Lateral Surface Area?

Edge Length of Cuboctahedron given Lateral Surface Area calculator uses Edge Length of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)) to calculate the Edge Length of Cuboctahedron, The Edge Length of Cuboctahedron given Lateral Surface Area formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron. Edge Length of Cuboctahedron is denoted by l_e symbol.

How to calculate Edge Length of Cuboctahedron given Lateral Surface Area using this online calculator? To use this online calculator for Edge Length of Cuboctahedron given Lateral Surface Area, enter Lateral Surface Area of Cuboctahedron (LSA) and hit the calculate button. Here is how the Edge Length of Cuboctahedron given Lateral Surface Area calculation can be explained with given input values -> 10.02402 = sqrt(750/((2*sqrt(3))+4)).

FAQ

What is Edge Length of Cuboctahedron given Lateral Surface Area?

The Edge Length of Cuboctahedron given Lateral Surface Area formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron and is represented as l_e = sqrt(LSA/((2*sqrt(3))+4)) or Edge Length of Cuboctahedron = 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 Edge Length of Cuboctahedron given Lateral Surface Area?

The Edge Length of Cuboctahedron given Lateral Surface Area formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron is calculated using Edge Length of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)). To calculate Edge Length 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 Edge Length of Cuboctahedron?

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

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

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