Perimeter 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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✖Perimeter of Cuboctahedron is the sum of the total distance around all the edges of the Cuboctahedron.ⓘ Perimeter of Cuboctahedron given Total Surface Area [P]

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Formula

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Perimeter of Cuboctahedron given Total Surface Area

Formula

`"P" = 24*sqrt("TSA"/(2*(3+sqrt(3))))`

Example

`"240.4547m"=24*sqrt("950m²"/(2*(3+sqrt(3))))`

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Perimeter of Cuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cuboctahedron = 24*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
P = 24*sqrt(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

Perimeter of Cuboctahedron - (Measured in Meter) - Perimeter of Cuboctahedron is the sum of the total distance around all the edges 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

P = 24*sqrt(TSA/(2*(3+sqrt(3)))) --> 24*sqrt(950/(2*(3+sqrt(3))))

Evaluating ... ...

P = 240.454742466975

STEP 3: Convert Result to Output's Unit

240.454742466975 Meter --> No Conversion Required

FINAL ANSWER

240.454742466975 ≈ 240.4547 Meter <-- Perimeter of Cuboctahedron

(Calculation completed in 00.004 seconds)

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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 Perimeter of Cuboctahedron Calculators

Perimeter of Cuboctahedron given Surface to Volume Ratio

Go Perimeter of Cuboctahedron = 24*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)

Perimeter of Cuboctahedron given Lateral Surface Area

Go Perimeter of Cuboctahedron = 24*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))

Perimeter of Cuboctahedron given Total Surface Area

Go Perimeter of Cuboctahedron = 24*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))

Perimeter of Cuboctahedron given Volume

Go Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

Perimeter of Cuboctahedron given Midsphere Radius

Go Perimeter of Cuboctahedron = 48/sqrt(3)*Midsphere Radius of Cuboctahedron

Perimeter of Cuboctahedron given Circumsphere Radius

Go Perimeter of Cuboctahedron = 24*Circumsphere Radius of Cuboctahedron

Perimeter of Cuboctahedron

Go Perimeter of Cuboctahedron = 24*Edge Length of Cuboctahedron

Perimeter of Cuboctahedron given Total Surface Area Formula

Perimeter of Cuboctahedron = 24*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
P = 24*sqrt(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 Perimeter of Cuboctahedron given Total Surface Area?

Perimeter of Cuboctahedron given Total Surface Area calculator uses Perimeter of Cuboctahedron = 24*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))) to calculate the Perimeter of Cuboctahedron, The Perimeter of Cuboctahedron given Total Surface Area formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the total surface area of Cuboctahedron. Perimeter of Cuboctahedron is denoted by P symbol.

How to calculate Perimeter of Cuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Perimeter of Cuboctahedron given Total Surface Area, enter Total Surface Area of Cuboctahedron (TSA) and hit the calculate button. Here is how the Perimeter of Cuboctahedron given Total Surface Area calculation can be explained with given input values -> 240.4547 = 24*sqrt(950/(2*(3+sqrt(3)))).

FAQ

What is Perimeter of Cuboctahedron given Total Surface Area?

The Perimeter of Cuboctahedron given Total Surface Area formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the total surface area of Cuboctahedron and is represented as P = 24*sqrt(TSA/(2*(3+sqrt(3)))) or Perimeter of Cuboctahedron = 24*sqrt(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 Perimeter of Cuboctahedron given Total Surface Area?

The Perimeter of Cuboctahedron given Total Surface Area formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the total surface area of Cuboctahedron is calculated using Perimeter of Cuboctahedron = 24*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))). To calculate Perimeter 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 Perimeter of Cuboctahedron?

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

Perimeter of Cuboctahedron = 24*Edge Length of Cuboctahedron
Perimeter of Cuboctahedron = 24*Circumsphere Radius of Cuboctahedron
Perimeter of Cuboctahedron = 24*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
Perimeter of Cuboctahedron = 48/sqrt(3)*Midsphere Radius of Cuboctahedron
Perimeter of Cuboctahedron = 24*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

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