Midsphere Radius of Cuboctahedron given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Cuboctahedron = sqrt(3)/48*Perimeter of Cuboctahedron
rm = sqrt(3)/48*P
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 = sqrt(3)/48*P --> sqrt(3)/48*240
Evaluating ... ...
rm = 8.66025403784439
STEP 3: Convert Result to Output's Unit
8.66025403784439 Meter --> No Conversion Required
FINAL ANSWER
8.66025403784439 8.660254 Meter <-- Midsphere Radius of Cuboctahedron
(Calculation completed in 00.004 seconds)

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Mumbai University (DJSCE), Mumbai
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7 Midsphere Radius of Cuboctahedron Calculators

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

Midsphere Radius of Cuboctahedron given Perimeter Formula

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

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 Midsphere Radius of Cuboctahedron given Perimeter?

Midsphere Radius of Cuboctahedron given Perimeter calculator uses Midsphere Radius of Cuboctahedron = sqrt(3)/48*Perimeter of Cuboctahedron to calculate the Midsphere Radius of Cuboctahedron, The Midsphere Radius 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 Midsphere Radius of Cuboctahedron given Perimeter using this online calculator? To use this online calculator for Midsphere Radius of Cuboctahedron given Perimeter, enter Perimeter of Cuboctahedron (P) and hit the calculate button. Here is how the Midsphere Radius of Cuboctahedron given Perimeter calculation can be explained with given input values -> 8.660254 = sqrt(3)/48*240.

FAQ

What is Midsphere Radius of Cuboctahedron given Perimeter?
The Midsphere Radius 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 = sqrt(3)/48*P or Midsphere Radius of Cuboctahedron = sqrt(3)/48*Perimeter of Cuboctahedron. Perimeter of Cuboctahedron is the sum of the total distance around all the edges of the Cuboctahedron.
How to calculate Midsphere Radius of Cuboctahedron given Perimeter?
The Midsphere Radius 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 = sqrt(3)/48*Perimeter of Cuboctahedron. To calculate Midsphere Radius 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.
How many ways are there to calculate Midsphere Radius of Cuboctahedron?
In this formula, Midsphere Radius of Cuboctahedron uses Perimeter of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
  • Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
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