Lateral Surface Area of Cuboctahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Cuboctahedron [r_c]

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✖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 given Circumsphere Radius [LSA]

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Formula

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Lateral Surface Area of Cuboctahedron given Circumsphere Radius

Formula

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

Example

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

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Lateral Surface Area of Cuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2
LSA = ((2*sqrt(3))+4)*r_c^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.
Circumsphere Radius of Cuboctahedron - (Measured in Meter) - Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = ((2*sqrt(3))+4)*r_c^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 00.006 seconds)

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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 given Circumsphere Radius Formula

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

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

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

FAQ

What is Lateral Surface Area of Cuboctahedron given Circumsphere Radius?

The Lateral Surface Area of Cuboctahedron given Circumsphere Radius 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 circumsphere radius of Cuboctahedron and is represented as LSA = ((2*sqrt(3))+4)*r_c^2 or Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2. Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.

How to calculate Lateral Surface Area of Cuboctahedron given Circumsphere Radius?

The Lateral Surface Area of Cuboctahedron given Circumsphere Radius 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 circumsphere radius of Cuboctahedron is calculated using Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2. To calculate Lateral Surface Area of Cuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Cuboctahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius 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 Circumsphere Radius 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)*(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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