## Lateral Surface Area of Cuboctahedron given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576
rm = ((2*sqrt(3))+4)*P^2/576
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
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.
Perimeter of Cuboctahedron - (Measured in Meter) - Perimeter of Cuboctahedron is the sum of the total distance around all the edges of the Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Cuboctahedron: 240 Meter --> 240 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = ((2*sqrt(3))+4)*P^2/576 --> ((2*sqrt(3))+4)*240^2/576
Evaluating ... ...
rm = 746.410161513776
STEP 3: Convert Result to Output's Unit
746.410161513776 Meter --> No Conversion Required
746.410161513776 746.4102 Meter <-- Midsphere Radius 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
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
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
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2
Lateral Surface Area of Cuboctahedron given Volume
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
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2
Lateral Surface Area of Cuboctahedron
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Edge Length of Cuboctahedron^2
Lateral Surface Area of Cuboctahedron given Perimeter
Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576

## Lateral Surface Area of Cuboctahedron given Perimeter Formula

Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576
rm = ((2*sqrt(3))+4)*P^2/576

## 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 Perimeter?

Lateral Surface Area of Cuboctahedron given Perimeter calculator uses Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576 to calculate the Midsphere Radius of Cuboctahedron, The Lateral Surface Area of Cuboctahedron given Perimeter formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using perimeter of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by rm symbol.

How to calculate Lateral Surface Area of Cuboctahedron given Perimeter using this online calculator? To use this online calculator for Lateral Surface Area of Cuboctahedron given Perimeter, enter Perimeter of Cuboctahedron (P) and hit the calculate button. Here is how the Lateral Surface Area of Cuboctahedron given Perimeter calculation can be explained with given input values -> 746.4102 = ((2*sqrt(3))+4)*240^2/576.

### FAQ

What is Lateral Surface Area of Cuboctahedron given Perimeter?
The Lateral Surface Area of Cuboctahedron given Perimeter formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using perimeter of Cuboctahedron and is represented as rm = ((2*sqrt(3))+4)*P^2/576 or Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576. Perimeter of Cuboctahedron is the sum of the total distance around all the edges of the Cuboctahedron.
How to calculate Lateral Surface Area of Cuboctahedron given Perimeter?
The Lateral Surface Area of Cuboctahedron given Perimeter formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using perimeter of Cuboctahedron is calculated using Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576. To calculate Lateral Surface Area of Cuboctahedron given Perimeter, you need Perimeter of Cuboctahedron (P). With our tool, you need to enter the respective value for Perimeter of Cuboctahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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