Lateral Surface Area of Cuboctahedron given Total Surface Area Calculator

✖Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.ⓘ Total Surface Area of Cuboctahedron [TSA]

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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 Total Surface Area [LSA]

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Formula

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Lateral Surface Area of Cuboctahedron given Total Surface Area

Formula

`"LSA" = ((2*sqrt(3))+4)*"TSA"/(2*(3+sqrt(3)))`

Example

`"749.2414m"=((2*sqrt(3))+4)*"950m²"/(2*(3+sqrt(3)))`

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Lateral Surface Area of Cuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))
LSA = ((2*sqrt(3))+4)*TSA/(2*(3+sqrt(3)))
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.
Total Surface Area of Cuboctahedron - (Measured in Square Meter) - Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Cuboctahedron: 950 Square Meter --> 950 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = ((2*sqrt(3))+4)*TSA/(2*(3+sqrt(3))) --> ((2*sqrt(3))+4)*950/(2*(3+sqrt(3)))

Evaluating ... ...

LSA = 749.241377865072

STEP 3: Convert Result to Output's Unit

749.241377865072 Meter --> No Conversion Required

FINAL ANSWER

749.241377865072 ≈ 749.2414 Meter <-- Lateral Surface Area of Cuboctahedron

(Calculation completed in 00.004 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 Total Surface Area Formula

Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))
LSA = ((2*sqrt(3))+4)*TSA/(2*(3+sqrt(3)))

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 Total Surface Area?

Lateral Surface Area of Cuboctahedron given Total Surface Area calculator uses Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))) to calculate the Lateral Surface Area of Cuboctahedron, The Lateral Surface Area of Cuboctahedron given Total Surface Area 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 total surface area of Cuboctahedron. Lateral Surface Area of Cuboctahedron is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Lateral Surface Area of Cuboctahedron given Total Surface Area, enter Total Surface Area of Cuboctahedron (TSA) and hit the calculate button. Here is how the Lateral Surface Area of Cuboctahedron given Total Surface Area calculation can be explained with given input values -> 749.2414 = ((2*sqrt(3))+4)*950/(2*(3+sqrt(3))).

FAQ

What is Lateral Surface Area of Cuboctahedron given Total Surface Area?

The Lateral Surface Area of Cuboctahedron given Total Surface Area 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 total surface area of Cuboctahedron and is represented as LSA = ((2*sqrt(3))+4)*TSA/(2*(3+sqrt(3))) or Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))). Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.

How to calculate Lateral Surface Area of Cuboctahedron given Total Surface Area?

The Lateral Surface Area of Cuboctahedron given Total Surface Area 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 total surface area of Cuboctahedron is calculated using Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))). To calculate Lateral Surface Area of Cuboctahedron given Total Surface Area, you need Total Surface Area of Cuboctahedron (TSA). With our tool, you need to enter the respective value for Total 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 Lateral Surface Area of Cuboctahedron?

In this formula, Lateral Surface Area of Cuboctahedron uses Total Surface Area 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)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3)

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