Total Surface Area of Triangular Cupola given Volume Calculator

✖Volume of Triangular Cupola is the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola.ⓘ Volume of Triangular Cupola [V]

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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 given Volume [TSA]

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Total Surface Area of Triangular Cupola given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*((3*sqrt(2)*Volume of Triangular Cupola)/5)^(2/3)
TSA = (3+(5*sqrt(3))/2)*((3*sqrt(2)*V)/5)^(2/3)
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.
Volume of Triangular Cupola - (Measured in Cubic Meter) - Volume of Triangular Cupola is the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola.

STEP 1: Convert Input(s) to Base Unit

Volume of Triangular Cupola: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3+(5*sqrt(3))/2)*((3*sqrt(2)*V)/5)^(2/3) --> (3+(5*sqrt(3))/2)*((3*sqrt(2)*1200)/5)^(2/3)

Evaluating ... ...

TSA = 741.896228228389

STEP 3: Convert Result to Output's Unit

741.896228228389 Square Meter --> No Conversion Required

FINAL ANSWER

741.896228228389 ≈ 741.8962 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 given Volume Formula

LaTeX Go

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

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 given Volume?

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

How to calculate Total Surface Area of Triangular Cupola given Volume using this online calculator? To use this online calculator for Total Surface Area of Triangular Cupola given Volume, enter Volume of Triangular Cupola (V) and hit the calculate button. Here is how the Total Surface Area of Triangular Cupola given Volume calculation can be explained with given input values -> 741.8962 = (3+(5*sqrt(3))/2)*((3*sqrt(2)*1200)/5)^(2/3).

FAQ

What is Total Surface Area of Triangular Cupola given Volume?

The Total Surface Area of Triangular Cupola given Volume formula is defined as the total amount of two-dimensional space occupied by all the faces of the Triangular Cupola and is calculated using the volume of the Triangular Cupola and is represented as TSA = (3+(5*sqrt(3))/2)*((3*sqrt(2)*V)/5)^(2/3) or Total Surface Area of Triangular Cupola = (3+(5*sqrt(3))/2)*((3*sqrt(2)*Volume of Triangular Cupola)/5)^(2/3). Volume of Triangular Cupola is the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola.

How to calculate Total Surface Area of Triangular Cupola given Volume?

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

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