Perimeter of Cuboctahedron given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Cuboctahedron = 24*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
P = 24*sqrt(LSA/((2*sqrt(3))+4))
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.
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.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cuboctahedron: 750 Meter --> 750 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 24*sqrt(LSA/((2*sqrt(3))+4)) --> 24*sqrt(750/((2*sqrt(3))+4))
Evaluating ... ...
P = 240.576444327209
STEP 3: Convert Result to Output's Unit
240.576444327209 Meter --> No Conversion Required
FINAL ANSWER
240.576444327209 240.5764 Meter <-- Perimeter of Cuboctahedron
(Calculation completed in 00.020 seconds)

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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 Lateral Surface Area Formula

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

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 Lateral Surface Area?

Perimeter of Cuboctahedron given Lateral Surface Area calculator uses Perimeter of Cuboctahedron = 24*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)) to calculate the Perimeter of Cuboctahedron, The Perimeter of Cuboctahedron given Lateral Surface Area formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the lateral surface area radius of Cuboctahedron. Perimeter of Cuboctahedron is denoted by P symbol.

How to calculate Perimeter of Cuboctahedron given Lateral Surface Area using this online calculator? To use this online calculator for Perimeter of Cuboctahedron given Lateral Surface Area, enter Lateral Surface Area of Cuboctahedron (LSA) and hit the calculate button. Here is how the Perimeter of Cuboctahedron given Lateral Surface Area calculation can be explained with given input values -> 240.5764 = 24*sqrt(750/((2*sqrt(3))+4)).

FAQ

What is Perimeter of Cuboctahedron given Lateral Surface Area?
The Perimeter of Cuboctahedron given Lateral Surface Area formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the lateral surface area radius of Cuboctahedron and is represented as P = 24*sqrt(LSA/((2*sqrt(3))+4)) or Perimeter of Cuboctahedron = 24*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)). 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.
How to calculate Perimeter of Cuboctahedron given Lateral Surface Area?
The Perimeter of Cuboctahedron given Lateral Surface Area formula is defined as the sum of the total distance around all the edges of the Cuboctahedron, and calculated using the lateral surface area radius of Cuboctahedron is calculated using Perimeter of Cuboctahedron = 24*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)). To calculate Perimeter of Cuboctahedron given Lateral Surface Area, you need Lateral Surface Area of Cuboctahedron (LSA). With our tool, you need to enter the respective value for Lateral 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 Lateral 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 = 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))))
  • Perimeter of Cuboctahedron = 24*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
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