Total Surface Area of Truncated Rhombohedron given Triangular Edge Length Calculator

✖Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.ⓘ Triangular Edge Length of Truncated Rhombohedron [l_e(Triangle)]

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✖Total Surface Area of Truncated Rhombohedron is the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron.ⓘ Total Surface Area of Truncated Rhombohedron given Triangular Edge Length [TSA]

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Total Surface Area of Truncated Rhombohedron given Triangular Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^2)
TSA = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((l_e(Triangle)/(sqrt(5-(2*sqrt(5)))))^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 Truncated Rhombohedron - (Measured in Square Meter) - Total Surface Area of Truncated Rhombohedron is the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron.
Triangular Edge Length of Truncated Rhombohedron - (Measured in Meter) - Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Triangular Edge Length of Truncated Rhombohedron: 19 Meter --> 19 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((l_e(Triangle)/(sqrt(5-(2*sqrt(5)))))^2) --> (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((19/(sqrt(5-(2*sqrt(5)))))^2)

Evaluating ... ...

TSA = 3469.82242601686

STEP 3: Convert Result to Output's Unit

3469.82242601686 Square Meter --> No Conversion Required

FINAL ANSWER

3469.82242601686 ≈ 3469.822 Square Meter <-- Total Surface Area of Truncated Rhombohedron

(Calculation completed in 00.016 seconds)

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< Surface Area of Truncated Rhombohedron Calculators

Total Surface Area of Truncated Rhombohedron given Circumsphere Radius

LaTeX Go Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^2)

Total Surface Area of Truncated Rhombohedron given Triangular Edge Length

LaTeX Go Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^2)

Total Surface Area of Truncated Rhombohedron

LaTeX Go Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^2)

Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length

LaTeX Go Total Surface Area of Truncated Rhombohedron = ((Rhombohedral Edge Length of Truncated Rhombohedron^2)*((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))/2

Total Surface Area of Truncated Rhombohedron given Triangular Edge Length Formula

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What is Truncated Rhombohedron?

The Truncated Rhombohedron is a convex, octahedral polyhedron. It is made up of six equal, irregular, but axially symmetrical pentagons and two equilateral triangles. It has twelve corners; three faces meet at each corner (a triangle and two pentagons or three pentagons). All corner points lie on the same sphere. Opposite faces are parallel. In the stitch, the body stands on a triangular surface, the pentagons virtually form the surface. The number of edges is eighteen.

How to Calculate Total Surface Area of Truncated Rhombohedron given Triangular Edge Length?

Total Surface Area of Truncated Rhombohedron given Triangular Edge Length calculator uses Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^2) to calculate the Total Surface Area of Truncated Rhombohedron, Total Surface Area of Truncated Rhombohedron given Triangular Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron, calculated using its triangular edge length. Total Surface Area of Truncated Rhombohedron is denoted by TSA symbol.

How to calculate Total Surface Area of Truncated Rhombohedron given Triangular Edge Length using this online calculator? To use this online calculator for Total Surface Area of Truncated Rhombohedron given Triangular Edge Length, enter Triangular Edge Length of Truncated Rhombohedron (l_e(Triangle)) and hit the calculate button. Here is how the Total Surface Area of Truncated Rhombohedron given Triangular Edge Length calculation can be explained with given input values -> 3469.822 = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((19/(sqrt(5-(2*sqrt(5)))))^2).

FAQ

What is Total Surface Area of Truncated Rhombohedron given Triangular Edge Length?

Total Surface Area of Truncated Rhombohedron given Triangular Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron, calculated using its triangular edge length and is represented as TSA = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((l_e(Triangle)/(sqrt(5-(2*sqrt(5)))))^2) or Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^2). Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.

How to calculate Total Surface Area of Truncated Rhombohedron given Triangular Edge Length?

Total Surface Area of Truncated Rhombohedron given Triangular Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron, calculated using its triangular edge length is calculated using Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^2). To calculate Total Surface Area of Truncated Rhombohedron given Triangular Edge Length, you need Triangular Edge Length of Truncated Rhombohedron (l_e(Triangle)). With our tool, you need to enter the respective value for Triangular Edge Length of Truncated Rhombohedron 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 Truncated Rhombohedron?

In this formula, Total Surface Area of Truncated Rhombohedron uses Triangular Edge Length of Truncated Rhombohedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Truncated Rhombohedron = ((Rhombohedral Edge Length of Truncated Rhombohedron^2)*((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))/2
Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^2)
Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^2)

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