Edge Length of Truncated Rhombohedron given Total Surface Area Calculator

✖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 [TSA]

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✖Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.ⓘ Edge Length of Truncated Rhombohedron given Total Surface Area [l_e]

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Edge Length of Truncated Rhombohedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Edge Length of Truncated Rhombohedron - (Measured in Meter) - Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Truncated Rhombohedron: 3500 Square Meter --> 3500 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = ((3-sqrt(5))/2)*(sqrt((2*TSA)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))) --> ((3-sqrt(5))/2)*(sqrt((2*3500)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))))

Evaluating ... ...

l_e = 10.032234546787

STEP 3: Convert Result to Output's Unit

10.032234546787 Meter --> No Conversion Required

FINAL ANSWER

10.032234546787 ≈ 10.03223 Meter <-- Edge Length of Truncated Rhombohedron

(Calculation completed in 00.018 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Edge Length of Truncated Rhombohedron Calculators

Edge Length of Truncated Rhombohedron given Total Surface Area

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

Edge Length of Truncated Rhombohedron given Circumsphere Radius

LaTeX Go Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))

Edge Length of Truncated Rhombohedron given Triangular Edge Length

LaTeX Go Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))

Edge Length of Truncated Rhombohedron given Rhombohedral Edge Length

LaTeX Go Edge Length of Truncated Rhombohedron = (Rhombohedral Edge Length of Truncated Rhombohedron*(3-sqrt(5)))/2

Edge Length of Truncated Rhombohedron given Total Surface Area 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 Edge Length of Truncated Rhombohedron given Total Surface Area?

Edge Length of Truncated Rhombohedron given Total Surface Area calculator uses Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))) to calculate the Edge Length of Truncated Rhombohedron, Edge Length of Truncated Rhombohedron given Total Surface Area formula is defined as the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron, calculated using its total surface area. Edge Length of Truncated Rhombohedron is denoted by l_e symbol.

How to calculate Edge Length of Truncated Rhombohedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Truncated Rhombohedron given Total Surface Area, enter Total Surface Area of Truncated Rhombohedron (TSA) and hit the calculate button. Here is how the Edge Length of Truncated Rhombohedron given Total Surface Area calculation can be explained with given input values -> 10.03223 = ((3-sqrt(5))/2)*(sqrt((2*3500)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))).

FAQ

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

Edge Length of Truncated Rhombohedron given Total Surface Area formula is defined as the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron, calculated using its total surface area and is represented as l_e = ((3-sqrt(5))/2)*(sqrt((2*TSA)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))) or Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))). Total Surface Area of Truncated Rhombohedron is the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron.

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

Edge Length of Truncated Rhombohedron given Total Surface Area formula is defined as the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron, calculated using its total surface area is calculated using Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))). To calculate Edge Length of Truncated Rhombohedron given Total Surface Area, you need Total Surface Area of Truncated Rhombohedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Edge Length of Truncated Rhombohedron?

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

Edge Length of Truncated Rhombohedron = (Rhombohedral Edge Length of Truncated Rhombohedron*(3-sqrt(5)))/2
Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))
Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))

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