Edge Length of Triangular Cupola given Total Surface Area Calculator

✖Total Surface Area of Triangular Cupola is the total amount of 2D space occupied by all the faces of the Triangular Cupola.ⓘ Total Surface Area of Triangular Cupola [TSA]

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✖Edge Length of Triangular Cupola is the length of any edge of the Triangular Cupola.ⓘ Edge Length of Triangular Cupola given Total Surface Area [l_e]

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Edge Length of Triangular Cupola given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Triangular Cupola = sqrt(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))
l_e = sqrt(TSA/(3+(5*sqrt(3))/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

Edge Length of Triangular Cupola - (Measured in Meter) - Edge Length of Triangular Cupola is the length of any edge of the Triangular Cupola.
Total Surface Area of Triangular Cupola - (Measured in Square Meter) - Total Surface Area of Triangular Cupola is the total amount of 2D space occupied by all the faces of the Triangular Cupola.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Triangular Cupola: 730 Square Meter --> 730 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(TSA/(3+(5*sqrt(3))/2)) --> sqrt(730/(3+(5*sqrt(3))/2))

Evaluating ... ...

l_e = 9.97942870680354

STEP 3: Convert Result to Output's Unit

9.97942870680354 Meter --> No Conversion Required

FINAL ANSWER

9.97942870680354 ≈ 9.979429 Meter <-- Edge Length of Triangular Cupola

(Calculation completed in 00.004 seconds)

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< Edge Length of Triangular Cupola Calculators

Edge Length of Triangular Cupola given Height

LaTeX Go Edge Length of Triangular Cupola = Height of Triangular Cupola/sqrt(1-(1/4*cosec(pi/3)^(2)))

Edge Length of Triangular Cupola given Surface to Volume Ratio

LaTeX Go Edge Length of Triangular Cupola = ((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola)

Edge Length of Triangular Cupola given Total Surface Area

LaTeX Go Edge Length of Triangular Cupola = sqrt(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))

Edge Length of Triangular Cupola given Volume

LaTeX Go Edge Length of Triangular Cupola = ((3*sqrt(2)*Volume of Triangular Cupola)/5)^(1/3)

Edge Length of Triangular Cupola given Total Surface Area Formula

LaTeX Go

Edge Length of Triangular Cupola = sqrt(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))
l_e = sqrt(TSA/(3+(5*sqrt(3))/2))

What is a Triangular Cupola?

A cupola is a polyhedron with two opposite polygons, of which one has twice as many vertices as the other and with alternating triangles and quadrangles as side faces. When all faces of the cupola are regular, then the cupola itself is regular and is a Johnson solid. There are three regular cupolae, the triangular, the square, and the pentagonal cupola. A Triangular Cupola has 8 faces, 15 edges, and 9 vertices. Its top surface is an equilateral triangle and its base surface is a regular hexagon.

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

Edge Length of Triangular Cupola given Total Surface Area calculator uses Edge Length of Triangular Cupola = sqrt(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2)) to calculate the Edge Length of Triangular Cupola, The Edge Length of Triangular Cupola given Total Surface Area formula is defined as the length of any edge of the Triangular Cupola and is calculated using the total surface area of the Triangular Cupola. Edge Length of Triangular Cupola is denoted by l_e symbol.

How to calculate Edge Length of Triangular Cupola given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Triangular Cupola given Total Surface Area, enter Total Surface Area of Triangular Cupola (TSA) and hit the calculate button. Here is how the Edge Length of Triangular Cupola given Total Surface Area calculation can be explained with given input values -> 9.979429 = sqrt(730/(3+(5*sqrt(3))/2)).

FAQ

What is Edge Length of Triangular Cupola given Total Surface Area?

The Edge Length of Triangular Cupola given Total Surface Area formula is defined as the length of any edge of the Triangular Cupola and is calculated using the total surface area of the Triangular Cupola and is represented as l_e = sqrt(TSA/(3+(5*sqrt(3))/2)) or Edge Length of Triangular Cupola = sqrt(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2)). Total Surface Area of Triangular Cupola is the total amount of 2D space occupied by all the faces of the Triangular Cupola.

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

The Edge Length of Triangular Cupola given Total Surface Area formula is defined as the length of any edge of the Triangular Cupola and is calculated using the total surface area of the Triangular Cupola is calculated using Edge Length of Triangular Cupola = sqrt(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2)). To calculate Edge Length of Triangular Cupola given Total Surface Area, you need Total Surface Area of Triangular Cupola (TSA). With our tool, you need to enter the respective value for Total Surface Area of Triangular Cupola 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 Triangular Cupola?

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

Edge Length of Triangular Cupola = Height of Triangular Cupola/sqrt(1-(1/4*cosec(pi/3)^(2)))
Edge Length of Triangular Cupola = ((3*sqrt(2)*Volume of Triangular Cupola)/5)^(1/3)
Edge Length of Triangular Cupola = ((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola)

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