Lateral Surface Area of Cuboctahedron 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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Formula

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Lateral Surface Area of Cuboctahedron

Formula

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

Example

`"746.4102m"=((2*sqrt(3))+4)*("10m")^2`

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Lateral Surface Area of Cuboctahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Edge Length of Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = ((2*sqrt(3))+4)*l_e^2 --> ((2*sqrt(3))+4)*10^2

Evaluating ... ...

LSA = 746.410161513775

STEP 3: Convert Result to Output's Unit

746.410161513775 Meter --> No Conversion Required

FINAL ANSWER

746.410161513775 ≈ 746.4102 Meter <-- Lateral Surface Area 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 Lateral Surface Area of Cuboctahedron Calculators

Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio

Go 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

Go 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

Go Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2

Lateral Surface Area of Cuboctahedron given Volume

Go 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

Go Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2

Lateral Surface Area of Cuboctahedron

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

Lateral Surface Area of Cuboctahedron given Perimeter

Go Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576

Lateral Surface Area of Cuboctahedron Formula

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

Lateral Surface Area of Cuboctahedron calculator uses Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Edge Length of Cuboctahedron^2 to calculate the Lateral Surface Area of Cuboctahedron, The Lateral Surface Area of Cuboctahedron 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. Lateral Surface Area of Cuboctahedron is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cuboctahedron using this online calculator? To use this online calculator for Lateral Surface Area of Cuboctahedron, enter Edge Length of Cuboctahedron (l_e) and hit the calculate button. Here is how the Lateral Surface Area of Cuboctahedron calculation can be explained with given input values -> 746.4102 = ((2*sqrt(3))+4)*10^2.

FAQ

What is Lateral Surface Area of Cuboctahedron?

The Lateral Surface Area of Cuboctahedron 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 and is represented as LSA = ((2*sqrt(3))+4)*l_e^2 or Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Edge Length of Cuboctahedron^2. Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.

How to calculate Lateral Surface Area of Cuboctahedron?

The Lateral Surface Area of Cuboctahedron 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 is calculated using Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Edge Length of Cuboctahedron^2. To calculate Lateral Surface Area of Cuboctahedron, you need Edge Length of Cuboctahedron (l_e). With our tool, you need to enter the respective value for Edge Length 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 Edge Length 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)*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)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio 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)

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