Total Surface Area of Rhombic Dodecahedron given Midsphere Radius Calculator

✖Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Rhombic Dodecahedron [r_m]

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✖Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.ⓘ Total Surface Area of Rhombic Dodecahedron given Midsphere Radius [TSA]

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Formula

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Total Surface Area of Rhombic Dodecahedron given Midsphere Radius

Formula

`"TSA" = 9*sqrt(2)*"r"_{"m"}^2`

Example

`"1030.962m²"=9*sqrt(2)*("9m")^2`

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Total Surface Area of Rhombic Dodecahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Rhombic Dodecahedron = 9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2
TSA = 9*sqrt(2)*r_m^2
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

Total Surface Area of Rhombic Dodecahedron - (Measured in Square Meter) - Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.
Midsphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Rhombic Dodecahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 9*sqrt(2)*r_m^2 --> 9*sqrt(2)*9^2

Evaluating ... ...

TSA = 1030.96168696999

STEP 3: Convert Result to Output's Unit

1030.96168696999 Square Meter --> No Conversion Required

FINAL ANSWER

1030.96168696999 ≈ 1030.962 Square Meter <-- Total Surface Area of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 5 Surface Area of Rhombic Dodecahedron Calculators

Total Surface Area of Rhombic Dodecahedron given Volume

Go Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3)

Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio

Go Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2

Total Surface Area of Rhombic Dodecahedron given Midsphere Radius

Go Total Surface Area of Rhombic Dodecahedron = 9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2

Total Surface Area of Rhombic Dodecahedron given Insphere Radius

Go Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2

Total Surface Area of Rhombic Dodecahedron

Go Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2

Total Surface Area of Rhombic Dodecahedron given Midsphere Radius Formula

Total Surface Area of Rhombic Dodecahedron = 9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2
TSA = 9*sqrt(2)*r_m^2

What is Rhombic Dodecahedron?

In geometry, the Rhombic Dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of two types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

How to Calculate Total Surface Area of Rhombic Dodecahedron given Midsphere Radius?

Total Surface Area of Rhombic Dodecahedron given Midsphere Radius calculator uses Total Surface Area of Rhombic Dodecahedron = 9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2 to calculate the Total Surface Area of Rhombic Dodecahedron, Total Surface Area of Rhombic Dodecahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron. Total Surface Area of Rhombic Dodecahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Rhombic Dodecahedron given Midsphere Radius using this online calculator? To use this online calculator for Total Surface Area of Rhombic Dodecahedron given Midsphere Radius, enter Midsphere Radius of Rhombic Dodecahedron (r_m) and hit the calculate button. Here is how the Total Surface Area of Rhombic Dodecahedron given Midsphere Radius calculation can be explained with given input values -> 1030.962 = 9*sqrt(2)*9^2.

FAQ

What is Total Surface Area of Rhombic Dodecahedron given Midsphere Radius?

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

How to calculate Total Surface Area of Rhombic Dodecahedron given Midsphere Radius?

Total Surface Area of Rhombic Dodecahedron given Midsphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron is calculated using Total Surface Area of Rhombic Dodecahedron = 9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2. To calculate Total Surface Area of Rhombic Dodecahedron given Midsphere Radius, you need Midsphere Radius of Rhombic Dodecahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Rhombic Dodecahedron 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 Total Surface Area of Rhombic Dodecahedron?

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

Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2
Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3)
Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2
Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2

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