Total Surface Area of Triangular Cupola Calculator

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

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✖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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Total Surface Area of Triangular Cupola Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*Edge Length of Triangular Cupola^(2)
TSA = (3+(5*sqrt(3))/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 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.
Edge Length of Triangular Cupola - (Measured in Meter) - Edge Length of Triangular Cupola is the length of any edge of the Triangular Cupola.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Triangular Cupola: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3+(5*sqrt(3))/2)*l_e^(2) --> (3+(5*sqrt(3))/2)*10^(2)

Evaluating ... ...

TSA = 733.012701892219

STEP 3: Convert Result to Output's Unit

733.012701892219 Square Meter --> No Conversion Required

FINAL ANSWER

733.012701892219 ≈ 733.0127 Square Meter <-- Total Surface Area of Triangular Cupola

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Triangular Cupola Calculators

Total Surface Area of Triangular Cupola given Surface to Volume Ratio

LaTeX Go Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*(((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola))^(2)

Total Surface Area of Triangular Cupola given Height

LaTeX Go Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*Height of Triangular Cupola^(2)/(1-(1/4*cosec(pi/3)^(2)))

Total Surface Area of Triangular Cupola given Volume

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

Total Surface Area of Triangular Cupola

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

Total Surface Area of Triangular Cupola Formula

LaTeX Go

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

Total Surface Area of Triangular Cupola calculator uses Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*Edge Length of Triangular Cupola^(2) to calculate the Total Surface Area of Triangular Cupola, The Total Surface Area of Triangular Cupola formula is defined as the total amount of two-dimensional space occupied by all the faces of the Triangular Cupola. Total Surface Area of Triangular Cupola is denoted by TSA symbol.

How to calculate Total Surface Area of Triangular Cupola using this online calculator? To use this online calculator for Total Surface Area of Triangular Cupola, enter Edge Length of Triangular Cupola (l_e) and hit the calculate button. Here is how the Total Surface Area of Triangular Cupola calculation can be explained with given input values -> 733.0127 = (3+(5*sqrt(3))/2)*10^(2).

FAQ

What is Total Surface Area of Triangular Cupola?

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

How to calculate Total Surface Area of Triangular Cupola?

The Total Surface Area of Triangular Cupola formula is defined as the total amount of two-dimensional space occupied by all the faces of the Triangular Cupola is calculated using Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*Edge Length of Triangular Cupola^(2). To calculate Total Surface Area of Triangular Cupola, you need Edge Length of Triangular Cupola (l_e). With our tool, you need to enter the respective value for Edge Length 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 Total Surface Area of Triangular Cupola?

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

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

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