Midsphere Radius of Rhombicuboctahedron given Total Surface Area Calculator

✖Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.ⓘ Total Surface Area of Rhombicuboctahedron [TSA]

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✖Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Rhombicuboctahedron given Total Surface Area [r_m]

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Formula

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Midsphere Radius of Rhombicuboctahedron given Total Surface Area

Formula

`"r"_{"m"} = sqrt(4+(2*sqrt(2)))/2*sqrt(("TSA")/(2*(9+sqrt(3))))`

Example

`"12.9236m"=sqrt(4+(2*sqrt(2)))/2*sqrt(("2100m²")/(2*(9+sqrt(3))))`

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Midsphere Radius of Rhombicuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
r_m = sqrt(4+(2*sqrt(2)))/2*sqrt((TSA)/(2*(9+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 Rhombicuboctahedron - (Measured in Meter) - Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.
Total Surface Area of Rhombicuboctahedron - (Measured in Square Meter) - Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Rhombicuboctahedron: 2100 Square Meter --> 2100 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(4+(2*sqrt(2)))/2*sqrt((TSA)/(2*(9+sqrt(3)))) --> sqrt(4+(2*sqrt(2)))/2*sqrt((2100)/(2*(9+sqrt(3))))

Evaluating ... ...

r_m = 12.9236037381539

STEP 3: Convert Result to Output's Unit

12.9236037381539 Meter --> No Conversion Required

FINAL ANSWER

12.9236037381539 ≈ 12.9236 Meter <-- Midsphere Radius of Rhombicuboctahedron

(Calculation completed in 00.006 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< 5 Midsphere Radius of Rhombicuboctahedron Calculators

Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))

Midsphere Radius of Rhombicuboctahedron given Total Surface Area

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2))))

Midsphere Radius of Rhombicuboctahedron given Volume

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Midsphere Radius of Rhombicuboctahedron

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron given Total Surface Area Formula

Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
r_m = sqrt(4+(2*sqrt(2)))/2*sqrt((TSA)/(2*(9+sqrt(3))))

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Midsphere Radius of Rhombicuboctahedron given Total Surface Area?

Midsphere Radius of Rhombicuboctahedron given Total Surface Area calculator uses Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))) to calculate the Midsphere Radius of Rhombicuboctahedron, Midsphere Radius of Rhombicuboctahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere, and calculated using the total surface area of the Rhombicuboctahedron. Midsphere Radius of Rhombicuboctahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombicuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Midsphere Radius of Rhombicuboctahedron given Total Surface Area, enter Total Surface Area of Rhombicuboctahedron (TSA) and hit the calculate button. Here is how the Midsphere Radius of Rhombicuboctahedron given Total Surface Area calculation can be explained with given input values -> 12.9236 = sqrt(4+(2*sqrt(2)))/2*sqrt((2100)/(2*(9+sqrt(3)))).

FAQ

What is Midsphere Radius of Rhombicuboctahedron given Total Surface Area?

Midsphere Radius of Rhombicuboctahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere, and calculated using the total surface area of the Rhombicuboctahedron and is represented as r_m = sqrt(4+(2*sqrt(2)))/2*sqrt((TSA)/(2*(9+sqrt(3)))) or Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))). Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.

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

Midsphere Radius of Rhombicuboctahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere, and calculated using the total surface area of the Rhombicuboctahedron is calculated using Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))). To calculate Midsphere Radius of Rhombicuboctahedron given Total Surface Area, you need Total Surface Area of Rhombicuboctahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Rhombicuboctahedron 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 Rhombicuboctahedron?

In this formula, Midsphere Radius of Rhombicuboctahedron uses Total Surface Area of Rhombicuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2))))
Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))

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