Midsphere Radius of Cuboctahedron given Total Surface Area Calculator

✖Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.ⓘ Total Surface Area of Cuboctahedron [TSA]

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✖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.ⓘ Midsphere Radius of Cuboctahedron given Total Surface Area [r_m]

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Midsphere Radius of Cuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
r_m = sqrt(3)/2*sqrt(TSA/(2*(3+sqrt(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

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.
Total Surface Area of Cuboctahedron - (Measured in Square Meter) - Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Cuboctahedron: 950 Square Meter --> 950 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(3)/2*sqrt(TSA/(2*(3+sqrt(3)))) --> sqrt(3)/2*sqrt(950/(2*(3+sqrt(3))))

Evaluating ... ...

r_m = 8.67666314320188

STEP 3: Convert Result to Output's Unit

8.67666314320188 Meter --> No Conversion Required

FINAL ANSWER

8.67666314320188 ≈ 8.676663 Meter <-- Midsphere Radius of Cuboctahedron

(Calculation completed in 00.004 seconds)

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< Midsphere Radius of Cuboctahedron Calculators

Midsphere Radius of Cuboctahedron given Total Surface Area

LaTeX Go Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))

Midsphere Radius of Cuboctahedron given Volume

LaTeX Go Midsphere Radius of Cuboctahedron = sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

Midsphere Radius of Cuboctahedron given Circumsphere Radius

LaTeX Go Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron

Midsphere Radius of Cuboctahedron

LaTeX Go Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron

Midsphere Radius of Cuboctahedron given Total Surface Area Formula

LaTeX Go

Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
r_m = sqrt(3)/2*sqrt(TSA/(2*(3+sqrt(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 Midsphere Radius of Cuboctahedron given Total Surface Area?

Midsphere Radius of Cuboctahedron given Total Surface Area calculator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))) to calculate the Midsphere Radius of Cuboctahedron, Midsphere Radius of Cuboctahedron given Total 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 total surface area of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Cuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Midsphere Radius of Cuboctahedron given Total Surface Area, enter Total Surface Area of Cuboctahedron (TSA) and hit the calculate button. Here is how the Midsphere Radius of Cuboctahedron given Total Surface Area calculation can be explained with given input values -> 8.676663 = sqrt(3)/2*sqrt(950/(2*(3+sqrt(3)))).

FAQ

What is Midsphere Radius of Cuboctahedron given Total Surface Area?

Midsphere Radius of Cuboctahedron given Total 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 total surface area of Cuboctahedron and is represented as r_m = sqrt(3)/2*sqrt(TSA/(2*(3+sqrt(3)))) or Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))). Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.

How to calculate Midsphere Radius of Cuboctahedron given Total Surface Area?

Midsphere Radius of Cuboctahedron given Total 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 total surface area of Cuboctahedron is calculated using Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))). To calculate Midsphere Radius of Cuboctahedron given Total Surface Area, you need Total Surface Area of Cuboctahedron (TSA). With our tool, you need to enter the respective value for Total 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 Total Surface Area of Cuboctahedron. We can use 3 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*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron

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