Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length Calculator

✖Rhombohedral Edge Length of Truncated Rhombohedron is the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed.ⓘ Rhombohedral Edge Length of Truncated Rhombohedron [l_{e(Rhombohedron)}]

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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 Rhombohedral Edge Length [TSA]

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Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
TSA = ((l_{e(Rhombohedron)}^2)*((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))/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.
Rhombohedral Edge Length of Truncated Rhombohedron - (Measured in Meter) - Rhombohedral Edge Length of Truncated Rhombohedron is the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed.

STEP 1: Convert Input(s) to Base Unit

Rhombohedral Edge Length of Truncated Rhombohedron: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = ((l_{e(Rhombohedron)}^2)*((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))/2 --> ((25^2)*((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))/2

Evaluating ... ...

TSA = 3171.04311154853

STEP 3: Convert Result to Output's Unit

3171.04311154853 Square Meter --> No Conversion Required

FINAL ANSWER

3171.04311154853 ≈ 3171.043 Square Meter <-- Total Surface Area of Truncated Rhombohedron

(Calculation completed in 00.007 seconds)

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Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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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 Rhombohedral Edge Length Formula

LaTeX Go

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 Rhombohedral Edge Length?

Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length calculator uses 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 to calculate the Total Surface Area of Truncated Rhombohedron, Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron, calculated using its rhombohedral edge length. Total Surface Area of Truncated Rhombohedron is denoted by TSA symbol.

How to calculate Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length using this online calculator? To use this online calculator for Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length, enter Rhombohedral Edge Length of Truncated Rhombohedron (l_{e(Rhombohedron)}) and hit the calculate button. Here is how the Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length calculation can be explained with given input values -> 3171.043 = ((25^2)*((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))/2.

FAQ

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

Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron, calculated using its rhombohedral edge length and is represented as TSA = ((l_{e(Rhombohedron)}^2)*((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))/2 or 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. Rhombohedral Edge Length of Truncated Rhombohedron is the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed.

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

Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron, calculated using its rhombohedral edge length is calculated using 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. To calculate Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length, you need Rhombohedral Edge Length of Truncated Rhombohedron (l_{e(Rhombohedron)}). With our tool, you need to enter the respective value for Rhombohedral 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 Rhombohedral 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 = (((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)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*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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