Total Surface Area of Rhombic Dodecahedron given Insphere Radius Calculator

✖Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.ⓘ Insphere Radius of Rhombic Dodecahedron [r_i]

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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 Insphere Radius [TSA]

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Total Surface Area of Rhombic Dodecahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2
TSA = 12*sqrt(2)*r_i^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.
Insphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Rhombic Dodecahedron: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 12*sqrt(2)*r_i^2 --> 12*sqrt(2)*8^2

Evaluating ... ...

TSA = 1086.11601590254

STEP 3: Convert Result to Output's Unit

1086.11601590254 Square Meter --> No Conversion Required

FINAL ANSWER

1086.11601590254 ≈ 1086.116 Square Meter <-- Total Surface Area of Rhombic Dodecahedron

(Calculation completed in 00.006 seconds)

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< Surface Area of Rhombic Dodecahedron Calculators

Total Surface Area of Rhombic Dodecahedron given Volume

LaTeX 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

LaTeX 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

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

Total Surface Area of Rhombic Dodecahedron

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

Total Surface Area of Rhombic Dodecahedron given Insphere Radius Formula

LaTeX Go

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

Total Surface Area of Rhombic Dodecahedron given Insphere Radius calculator uses Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2 to calculate the Total Surface Area of Rhombic Dodecahedron, Total Surface Area of Rhombic Dodecahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using insphere 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 Insphere Radius using this online calculator? To use this online calculator for Total Surface Area of Rhombic Dodecahedron given Insphere Radius, enter Insphere Radius of Rhombic Dodecahedron (r_i) and hit the calculate button. Here is how the Total Surface Area of Rhombic Dodecahedron given Insphere Radius calculation can be explained with given input values -> 1086.116 = 12*sqrt(2)*8^2.

FAQ

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

Total Surface Area of Rhombic Dodecahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using insphere radius of Rhombic Dodecahedron and is represented as TSA = 12*sqrt(2)*r_i^2 or Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2. Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.

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

Total Surface Area of Rhombic Dodecahedron given Insphere Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using insphere radius of Rhombic Dodecahedron is calculated using Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2. To calculate Total Surface Area of Rhombic Dodecahedron given Insphere Radius, you need Insphere Radius of Rhombic Dodecahedron (r_i). With our tool, you need to enter the respective value for Insphere 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 Insphere Radius of Rhombic Dodecahedron. We can use 3 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 = 9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2
Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3)

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