Perimeter of Cuboctahedron given Midsphere Radius Calculator

✖Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.ⓘ Midsphere Radius of Cuboctahedron [r_m]

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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 Midsphere Radius [P]

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Perimeter of Cuboctahedron given Midsphere Radius

Formula

`"P" = 48/sqrt(3)*"r"_{"m"}`

Example

`"249.4153m"=48/sqrt(3)*"9m"`

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Perimeter of Cuboctahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cuboctahedron = 48/sqrt(3)*Midsphere Radius of Cuboctahedron
P = 48/sqrt(3)*r_m
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.
Midsphere Radius of Cuboctahedron - (Measured in Meter) - Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Cuboctahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 48/sqrt(3)*r_m --> 48/sqrt(3)*9

Evaluating ... ...

P = 249.415316289918

STEP 3: Convert Result to Output's Unit

249.415316289918 Meter --> No Conversion Required

FINAL ANSWER

249.415316289918 ≈ 249.4153 Meter <-- Perimeter of Cuboctahedron

(Calculation completed in 00.004 seconds)

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Mumbai University (DJSCE), Mumbai

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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 Midsphere Radius Formula

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

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 Midsphere Radius?

Perimeter of Cuboctahedron given Midsphere Radius calculator uses Perimeter of Cuboctahedron = 48/sqrt(3)*Midsphere Radius of Cuboctahedron to calculate the Perimeter of Cuboctahedron, The Perimeter of Cuboctahedron given Midsphere Radius formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the midsphere radius radius of Cuboctahedron. Perimeter of Cuboctahedron is denoted by P symbol.

How to calculate Perimeter of Cuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Perimeter of Cuboctahedron given Midsphere Radius, enter Midsphere Radius of Cuboctahedron (r_m) and hit the calculate button. Here is how the Perimeter of Cuboctahedron given Midsphere Radius calculation can be explained with given input values -> 249.4153 = 48/sqrt(3)*9.

FAQ

What is Perimeter of Cuboctahedron given Midsphere Radius?

The Perimeter of Cuboctahedron given Midsphere Radius formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the midsphere radius radius of Cuboctahedron and is represented as P = 48/sqrt(3)*r_m or Perimeter of Cuboctahedron = 48/sqrt(3)*Midsphere Radius of Cuboctahedron. Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.

How to calculate Perimeter of Cuboctahedron given Midsphere Radius?

The Perimeter of Cuboctahedron given Midsphere Radius formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the midsphere radius radius of Cuboctahedron is calculated using Perimeter of Cuboctahedron = 48/sqrt(3)*Midsphere Radius of Cuboctahedron. To calculate Perimeter of Cuboctahedron given Midsphere Radius, you need Midsphere Radius of Cuboctahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Perimeter of Cuboctahedron?

In this formula, Perimeter of Cuboctahedron uses Midsphere Radius 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 = 24*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
Perimeter of Cuboctahedron = 24*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

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