Perimeter of Cuboctahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
P = 24*((3*V)/(5*sqrt(2)))^(1/3)
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.
Volume of Cuboctahedron - (Measured in Cubic Meter) - Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Cuboctahedron: 2360 Cubic Meter --> 2360 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 24*((3*V)/(5*sqrt(2)))^(1/3) --> 24*((3*2360)/(5*sqrt(2)))^(1/3)
Evaluating ... ...
P = 240.10101365119
STEP 3: Convert Result to Output's Unit
240.10101365119 Meter --> No Conversion Required
FINAL ANSWER
240.10101365119 240.101 Meter <-- Perimeter of Cuboctahedron
(Calculation completed in 00.020 seconds)

Credits

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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 Volume Formula

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

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 Volume?

Perimeter of Cuboctahedron given Volume calculator uses Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3) to calculate the Perimeter of Cuboctahedron, The Perimeter of Cuboctahedron given Volume formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the volume of Cuboctahedron. Perimeter of Cuboctahedron is denoted by P symbol.

How to calculate Perimeter of Cuboctahedron given Volume using this online calculator? To use this online calculator for Perimeter of Cuboctahedron given Volume, enter Volume of Cuboctahedron (V) and hit the calculate button. Here is how the Perimeter of Cuboctahedron given Volume calculation can be explained with given input values -> 240.101 = 24*((3*2360)/(5*sqrt(2)))^(1/3).

FAQ

What is Perimeter of Cuboctahedron given Volume?
The Perimeter of Cuboctahedron given Volume formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the volume of Cuboctahedron and is represented as P = 24*((3*V)/(5*sqrt(2)))^(1/3) or Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3). Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.
How to calculate Perimeter of Cuboctahedron given Volume?
The Perimeter of Cuboctahedron given Volume formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the volume of Cuboctahedron is calculated using Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3). To calculate Perimeter of Cuboctahedron given Volume, you need Volume of Cuboctahedron (V). With our tool, you need to enter the respective value for Volume 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 Volume 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*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
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