Total Surface Area of Rhombic Dodecahedron Calculator

✖Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.ⓘ Edge Length of Rhombic Dodecahedron [l_e]

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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 [TSA]

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Total Surface Area of Rhombic Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2
TSA = 8*sqrt(2)*l_e^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.
Edge Length of Rhombic Dodecahedron - (Measured in Meter) - Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Rhombic Dodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 8*sqrt(2)*l_e^2 --> 8*sqrt(2)*10^2

Evaluating ... ...

TSA = 1131.37084989848

STEP 3: Convert Result to Output's Unit

1131.37084989848 Square Meter --> No Conversion Required

FINAL ANSWER

1131.37084989848 ≈ 1131.371 Square Meter <-- Total Surface Area of Rhombic Dodecahedron

(Calculation completed in 00.020 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 Formula

LaTeX Go

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

Total Surface Area of Rhombic Dodecahedron calculator uses Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2 to calculate the Total Surface Area of Rhombic Dodecahedron, Total Surface Area of Rhombic Dodecahedron formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron. Total Surface Area of Rhombic Dodecahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Rhombic Dodecahedron using this online calculator? To use this online calculator for Total Surface Area of Rhombic Dodecahedron, enter Edge Length of Rhombic Dodecahedron (l_e) and hit the calculate button. Here is how the Total Surface Area of Rhombic Dodecahedron calculation can be explained with given input values -> 1131.371 = 8*sqrt(2)*10^2.

FAQ

What is Total Surface Area of Rhombic Dodecahedron?

Total Surface Area of Rhombic Dodecahedron formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron and is represented as TSA = 8*sqrt(2)*l_e^2 or Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2. Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.

How to calculate Total Surface Area of Rhombic Dodecahedron?

Total Surface Area of Rhombic Dodecahedron formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron is calculated using Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2. To calculate Total Surface Area of Rhombic Dodecahedron, you need Edge Length of Rhombic Dodecahedron (l_e). With our tool, you need to enter the respective value for Edge Length 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 Edge Length 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 = 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)
Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2

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