Midsphere Radius of Cuboctahedron given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
rm = sqrt(3)/2*sqrt(LSA/((2*sqrt(3))+4))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, 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.
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
rm = sqrt(3)/2*sqrt(LSA/((2*sqrt(3))+4)) --> sqrt(3)/2*sqrt(750/((2*sqrt(3))+4))
Evaluating ... ...
rm = 8.68105468081231
STEP 3: Convert Result to Output's Unit
8.68105468081231 Meter --> No Conversion Required
FINAL ANSWER
8.68105468081231 8.681055 Meter <-- Midsphere Radius of Cuboctahedron
(Calculation completed in 00.003 seconds)

Credits

Created by Nikhil
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 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 Lateral Surface Area Formula

Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
rm = sqrt(3)/2*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 Midsphere Radius of Cuboctahedron given Lateral Surface Area?

Midsphere Radius of Cuboctahedron given Lateral Surface Area calculator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)) to calculate the Midsphere Radius of Cuboctahedron, The Midsphere Radius of Cuboctahedron given Lateral Surface Area 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 lateral surface area of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Cuboctahedron given Lateral Surface Area using this online calculator? To use this online calculator for Midsphere Radius of Cuboctahedron given Lateral Surface Area, enter Lateral Surface Area of Cuboctahedron (LSA) and hit the calculate button. Here is how the Midsphere Radius of Cuboctahedron given Lateral Surface Area calculation can be explained with given input values -> 8.681055 = sqrt(3)/2*sqrt(750/((2*sqrt(3))+4)).

FAQ

What is Midsphere Radius of Cuboctahedron given Lateral Surface Area?
The Midsphere Radius of Cuboctahedron given Lateral Surface Area 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 lateral surface area of Cuboctahedron and is represented as rm = sqrt(3)/2*sqrt(LSA/((2*sqrt(3))+4)) or Midsphere Radius of Cuboctahedron = sqrt(3)/2*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 Midsphere Radius of Cuboctahedron given Lateral Surface Area?
The Midsphere Radius of Cuboctahedron given Lateral Surface Area 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 lateral surface area of Cuboctahedron is calculated using Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)). To calculate Midsphere Radius 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 Midsphere Radius of Cuboctahedron?
In this formula, Midsphere Radius of Cuboctahedron uses Lateral Surface Area 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)/48*Perimeter of Cuboctahedron
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